870994236670606108303870557022767515535183065838195376207590467620873957918857961332172833341<93>

393854541172230339186777355842066105426479<42>
2211461708879282181705305020872043074904345739338579<52>

Number: 92223_110
N=870994236670606108303870557022767515535183065838195376207590467620873957918857961332172833341
  ( 93 digits)
SNFS difficulty: 111 digits.
Divisors found:
 r1=393854541172230339186777355842066105426479 (pp42)
 r2=2211461708879282181705305020872043074904345739338579 (pp52)
Version: Msieve-1.40
Total time: 0.61 hours.
Scaled time: 0.60 units (timescale=0.991).
Factorization parameters were as follows:
n: 870994236670606108303870557022767515535183065838195376207590467620873957918857961332172833341
m: 10000000000000000000000
deg: 5
c5: 83
c0: 7
skew: 0.61
type: snfs
lss: 1
rlim: 510000
alim: 510000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 510000/510000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [255000, 355001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 56979 x 57211
Total sieving time: 0.57 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,111.000,5,0,0,0,0,0,0,0,0,510000,510000,25,25,44,44,2.2,2.2,50000
total time: 0.61 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

23091445434622317292206968235936259486863012392566702352687219666722559093025891046714912207854613588725832681<110>

448998983579618286682910369713303867<36>
51428725407187141859088119824597898798122680510169179933669682357162579243<74>

Number: 92223_115
N=23091445434622317292206968235936259486863012392566702352687219666722559093025891046714912207854613588725832681
  ( 110 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=448998983579618286682910369713303867 (pp36)
 r2=51428725407187141859088119824597898798122680510169179933669682357162579243 (pp74)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 2.08 hours.
Scaled time: 0.98 units (timescale=0.470).
Factorization parameters were as follows:
name: 92223_115
n: 23091445434622317292206968235936259486863012392566702352687219666722559093025891046714912207854613588725832681
m: 100000000000000000000000
deg: 5
c5: 83
c0: 7
skew: 0.61
type: snfs
lss: 1
rlim: 620000
alim: 620000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor 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: RFBsize:50612, AFBsize:50913, largePrimes:1330235 encountered
Relations: rels:1344098, finalFF:182266
Max relations in full relation-set: 28
Initial matrix: 101590 x 182266 with sparse part having weight 8528252.
Pruned matrix : 74591 x 75162 with weight 2650532.
Total sieving time: 1.97 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,116,5,0,0,0,0,0,0,0,0,620000,620000,25,25,45,45,2.2,2.2,50000
total time: 2.08 hours.
 --------- CPU info (if available) ----------

Pentium 4  2.4GHz, Windows XP and Cygwin)

29333420980181563273426005738748070797448487155319050431218959144199209976755914483535645584418934970633004622311<113>

36779934795762142506535701356535567163<38>
797538689045240465818445964027040354448230908021748469854654299849630902597<75>

Number: 92223_117
N=29333420980181563273426005738748070797448487155319050431218959144199209976755914483535645584418934970633004622311
  ( 113 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=36779934795762142506535701356535567163 (pp38)
 r2=797538689045240465818445964027040354448230908021748469854654299849630902597 (pp75)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 3.04 hours.
Scaled time: 1.43 units (timescale=0.470).
Factorization parameters were as follows:
name: 92223_117
n: 29333420980181563273426005738748070797448487155319050431218959144199209976755914483535645584418934970633004622311
m: 500000000000000000000000
deg: 5
c5: 332
c0: 875
skew: 1.21
type: snfs
lss: 1
rlim: 730000
alim: 730000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 730000/730000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [365000, 665001)
Primes: RFBsize:58789, AFBsize:58546, largePrimes:1331675 encountered
Relations: rels:1305723, finalFF:150232
Max relations in full relation-set: 28
Initial matrix: 117402 x 150232 with sparse part having weight 7226670.
Pruned matrix : 103906 x 104557 with weight 3808187.
Total sieving time: 2.87 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.03 hours.
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: 3.04 hours.
 --------- CPU info (if available) ----------

Pentium 4  2.4GHz, Windows XP and Cygwin)

28127190341407497482192862179851151586476894207842246992449340473301992865656778535958054293813851475489712175139<113>

705070381600235455186991830596638083559201<42>
39892741314093663141511170138983554044263787963680068665654734350406339<71>

SNFS difficulty: 121 digits.
Divisors found:
 r1=705070381600235455186991830596638083559201 (pp42)
 r2=39892741314093663141511170138983554044263787963680068665654734350406339 (pp71)
Version: Msieve v. 1.44 SVN130
Total time: 1.05 hours.
Scaled time: 2.52 units (timescale=2.400).
Factorization parameters were as follows:
name: 92223_118
n: 28127190341407497482192862179851151586476894207842246992449340473301992865656778535958054293813851475489712175139
m: 500000000000000000000000
deg: 5
c5: 664
c0: 175
skew: 0.77
type: snfs
lss: 1
rlim: 740000
alim: 740000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 740000/740000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [462500, 812501)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 88790 x 89015
Total sieving time: 0.96 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,121.000,5,0,0,0,0,0,0,0,0,740000,740000,25,25,46,46,2.2,2.2,50000
total time: 1.05 hours.

4547834953970025762840857831440101814378063031264673061402797428646893129342321038178952983343358098699677<106>

15088320696223135169809198089153969811751774911547<50>
301414255803061414574888662754994760101373439276969078791<57>

Number: 92223_122
N=4547834953970025762840857831440101814378063031264673061402797428646893129342321038178952983343358098699677
  ( 106 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=15088320696223135169809198089153969811751774911547 (pp50)
 r2=301414255803061414574888662754994760101373439276969078791 (pp57)
Version: Msieve v. 1.41
Total time: 3.72 hours.
Scaled time: 2.90 units (timescale=0.780).
Factorization parameters were as follows:
n: 4547834953970025762840857831440101814378063031264673061402797428646893129342321038178952983343358098699677
m: 5000000000000000000000000
deg: 5
c5: 332
c0: 875
skew: 1.21
type: snfs
lss: 1
rlim: 880000
alim: 880000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 880000/880000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [440000, 790001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 114621 x 114866
Total sieving time: 3.38 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
snfs,126.000,5,0,0,0,0,0,0,0,0,880000,880000,26,26,46,46,2.3,2.3,50000
total time: 3.72 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

24874092029511088830793977824159149728669959484925561047172970971177927785079482037048683023491324655978050891694565707<119>

13462314290065597650967239163411<32>
1847683206138391614740683802658317179021351885853039473016213575460366458036348637474537<88>

GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 24874092029511088830793977824159149728669959484925561047172970971177927785079482037048683023491324655978050891694565707 (119 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2972610773
Step 1 took 4305ms
Step 2 took 4056ms
********** Factor found in step 2: 13462314290065597650967239163411
Found probable prime factor of 32 digits: 13462314290065597650967239163411
Probable prime cofactor 1847683206138391614740683802658317179021351885853039473016213575460366458036348637474537 has 88 digits

Core 2 Quad Q6600

1073207795689535631622836147825278952552729693717888979960708463097569132782518985104571996377844886200285553772238738352077<124>

93988310201234862601570372294932527271313227418747<50>
11418524212125215153704901048888926793883689926626226465167573286606626391<74>

Number: n
N=1073207795689535631622836147825278952552729693717888979960708463097569132782518985104571996377844886200285553772238738352077
  ( 124 digits)
SNFS difficulty: 141 digits.
Divisors found:

Sun Oct 25 18:47:01 2009  prp50 factor: 93988310201234862601570372294932527271313227418747
Sun Oct 25 18:47:01 2009  prp74 factor: 11418524212125215153704901048888926793883689926626226465167573286606626391
Sun Oct 25 18:47:01 2009  elapsed time 00:20:23 (Msieve 1.42 - dependency 2)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 5.21 hours.
Scaled time: 9.50 units (timescale=1.823).
Factorization parameters were as follows:
name: KA_9_2_137_3
n: 1073207795689535631622836147825278952552729693717888979960708463097569132782518985104571996377844886200285553772238738352077
m: 5000000000000000000000000000
deg: 5
c5: 664
c0: 175
skew: 0.77
type: snfs
lss: 1
rlim: 1590000
alim: 1590000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
qintsize: 20000
Factor base limits: 1590000/1590000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved  special-q in [795000, 1787953)
Primes: RFBsize:120451, AFBsize:120228, largePrimes:3468598 encountered
Relations: rels:3326883, finalFF:241527
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 497871 hash collisions in 3752395 relations
Msieve: matrix is 266381 x 266606 (71.1 MB)

Total sieving time: 5.14 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,141,5,0,0,0,0,0,0,0,0,1590000,1590000,26,26,48,48,2.3,2.3,100000
total time: 5.21 hours.
 --------- CPU info (if available) ----------

43708544036254649395714070133193976331990037910375971143155353250353772955674359691405658669750880139179217149<110>

950945206033983716590046745708439382556184867498061651<54>
45963262403462441886100482311242817697783998352022258799<56>

Number: 92223_140
N=43708544036254649395714070133193976331990037910375971143155353250353772955674359691405658669750880139179217149
  ( 110 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=950945206033983716590046745708439382556184867498061651 (pp54)
 r2=45963262403462441886100482311242817697783998352022258799 (pp56)
Version: Msieve-1.40
Total time: 6.58 hours.
Scaled time: 13.36 units (timescale=2.032).
Factorization parameters were as follows:
name: 92223_140
n: 43708544036254649395714070133193976331990037910375971143155353250353772955674359691405658669750880139179217149
m: 10000000000000000000000000000
deg: 5
c5: 83
c0: 7
skew: 0.61
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, 1610001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 235126 x 235372
Total sieving time: 6.28 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.20 hours.
Time per square root: 0.03 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: 6.58 hours.
 --------- CPU info (if available) ----------

587727526365835134078809853742617748922618069947582969642059147943446920904864207550850301733379285639847576970969808477<120>

90583254195064513964951551233389<32>
32008672599379556241790724929001261<35>
202703127076465420436501533853575825089948645698619413<54>

GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 587727526365835134078809853742617748922618069947582969642059147943446920904864207550850301733379285639847576970969808477 (120 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=8461231021
Step 1 took 4243ms
Step 2 took 4087ms
********** Factor found in step 2: 90583254195064513964951551233389
Found probable prime factor of 32 digits: 90583254195064513964951551233389
Composite cofactor 6488258029461010918009232216393658197894504657730103080991528610887031948984672636079793 has 88 digits
10/24/09 23:23:31 v1.10 @ 조영욱-PC, starting SIQS on c88: 6488258029461010918009232216393658197894504657730103080991528610887031948984672636079793

10/24/09 23:23:31 v1.10 @ 조영욱-PC, random seeds: 170176739, 2015898184
10/24/09 23:23:31 v1.10 @ 조영욱-PC, ==== sieve params ====
10/24/09 23:23:31 v1.10 @ 조영욱-PC, n = 88 digits, 292 bits
10/24/09 23:23:31 v1.10 @ 조영욱-PC, factor base: 61677 primes (max prime = 1636883)
10/24/09 23:23:31 v1.10 @ 조영욱-PC, single large prime cutoff: 180057130 (110 * pmax)
10/24/09 23:23:31 v1.10 @ 조영욱-PC, double large prime range from 43 to 50 bits
10/24/09 23:23:31 v1.10 @ 조영욱-PC, double large prime cutoff: 724000026774137
10/24/09 23:23:31 v1.10 @ 조영욱-PC, using 15 large prime slices of factor base
10/24/09 23:23:31 v1.10 @ 조영욱-PC, buckets hold 1024 elements
10/24/09 23:23:31 v1.10 @ 조영욱-PC, sieve interval: 9 blocks of size 65536
10/24/09 23:23:31 v1.10 @ 조영욱-PC, polynomial A has ~ 11 factors
10/24/09 23:23:31 v1.10 @ 조영욱-PC, using multiplier of 1
10/24/09 23:23:31 v1.10 @ 조영욱-PC, using small prime variation correction of 18 bits
10/24/09 23:23:31 v1.10 @ 조영욱-PC, using SSE2 for trial division and x128 sieve scanning
10/24/09 23:23:31 v1.10 @ 조영욱-PC, trial factoring cutoff at 99 bits
10/24/09 23:23:31 v1.10 @ 조영욱-PC, ==== sieving started ====
10/24/09 23:59:49 v1.10 @ 조영욱-PC, sieve time = 1044.0410, relation time = 341.2810, poly_time = 792.4710
10/24/09 23:59:49 v1.10 @ 조영욱-PC, 61780 relations found: 20672 full + 41108 from 551741 partial, using 422103 polys (412 A polys)
10/24/09 23:59:49 v1.10 @ 조영욱-PC, on average, sieving found 1.36 rels/poly and 262.74 rels/sec
10/24/09 23:59:49 v1.10 @ 조영욱-PC, trial division touched 11670223 sieve locations out of 497932959744
10/24/09 23:59:49 v1.10 @ 조영욱-PC, ==== post processing stage (msieve-1.38) ====
10/24/09 23:59:50 v1.10 @ 조영욱-PC, begin with 572413 relations
10/24/09 23:59:50 v1.10 @ 조영욱-PC, reduce to 125508 relations in 9 passes
10/24/09 23:59:51 v1.10 @ 조영욱-PC, recovered 125508 relations
10/24/09 23:59:51 v1.10 @ 조영욱-PC, recovered 108512 polynomials
10/24/09 23:59:51 v1.10 @ 조영욱-PC, attempting to build 61780 cycles
10/24/09 23:59:51 v1.10 @ 조영욱-PC, found 61780 cycles in 4 passes
10/24/09 23:59:51 v1.10 @ 조영욱-PC, distribution of cycle lengths:
10/24/09 23:59:51 v1.10 @ 조영욱-PC,    length 1 : 20672
10/24/09 23:59:51 v1.10 @ 조영욱-PC,    length 2 : 17282
10/24/09 23:59:51 v1.10 @ 조영욱-PC,    length 3 : 11476
10/24/09 23:59:51 v1.10 @ 조영욱-PC,    length 4 : 6357
10/24/09 23:59:51 v1.10 @ 조영욱-PC,    length 5 : 3343
10/24/09 23:59:51 v1.10 @ 조영욱-PC,    length 6 : 1500
10/24/09 23:59:51 v1.10 @ 조영욱-PC,    length 7 : 675
10/24/09 23:59:51 v1.10 @ 조영욱-PC,    length 9+: 475
10/24/09 23:59:51 v1.10 @ 조영욱-PC, largest cycle: 15 relations
10/24/09 23:59:51 v1.10 @ 조영욱-PC, matrix is 61677 x 61780 (13.0 MB) with weight 2901214 (46.96/col)
10/24/09 23:59:51 v1.10 @ 조영욱-PC, sparse part has weight 2901214 (46.96/col)
10/24/09 23:59:51 v1.10 @ 조영욱-PC, filtering completed in 3 passes
10/24/09 23:59:51 v1.10 @ 조영욱-PC, matrix is 55117 x 55181 (11.8 MB) with weight 2649715 (48.02/col)
10/24/09 23:59:51 v1.10 @ 조영욱-PC, sparse part has weight 2649715 (48.02/col)
10/24/09 23:59:52 v1.10 @ 조영욱-PC, saving the first 48 matrix rows for later
10/24/09 23:59:52 v1.10 @ 조영욱-PC, matrix is 55069 x 55181 (8.3 MB) with weight 2124201 (38.50/col)
10/24/09 23:59:52 v1.10 @ 조영욱-PC, sparse part has weight 1633043 (29.59/col)
10/24/09 23:59:52 v1.10 @ 조영욱-PC, matrix includes 64 packed rows
10/24/09 23:59:52 v1.10 @ 조영욱-PC, using block size 22072 for processor cache size 4096 kB
10/24/09 23:59:52 v1.10 @ 조영욱-PC, commencing Lanczos iteration
10/24/09 23:59:52 v1.10 @ 조영욱-PC, memory use: 7.6 MB
10/25/09 00:00:04 v1.10 @ 조영욱-PC, lanczos halted after 872 iterations (dim = 55067)
10/25/09 00:00:04 v1.10 @ 조영욱-PC, recovered 15 nontrivial dependencies
10/25/09 00:00:04 v1.10 @ 조영욱-PC, prp35 = 32008672599379556241790724929001261
10/25/09 00:00:05 v1.10 @ 조영욱-PC, prp54 = 202703127076465420436501533853575825089948645698619413
10/25/09 00:00:05 v1.10 @ 조영욱-PC, Lanczos elapsed time = 14.2900 seconds.
10/25/09 00:00:05 v1.10 @ 조영욱-PC, Sqrt elapsed time = 0.9510 seconds.
10/25/09 00:00:05 v1.10 @ 조영욱-PC, SIQS elapsed time = 2193.8590 seconds.
10/25/09 00:00:05 v1.10 @ 조영욱-PC, 
10/25/09 00:00:05 v1.10 @ 조영욱-PC, 

GMP-ECM v6.2.3 / YAFU v1.10

Core 2 Quad Q6600

13202744014509107243676427634293966343218714731112852993288868887924043586475442159022588309311459191<101>

1535181644225391274770405393769327<34>
8600118470782546419223756731522576547964652510173823240589849178233<67>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4109546562
Step 1 took 2184ms
Step 2 took 1692ms
********** Factor found in step 2: 1535181644225391274770405393769327
Found probable prime factor of 34 digits: 1535181644225391274770405393769327
Probable prime cofactor has 67 digits

12101503345313544296726077856879492583269902651699773591285503600604622679901120704345584900671105410790856437888630685783619<125>

7620243200305720178433627196673681023<37>
1588073113575697728528935879433186144051276413419026749657921230265554117895252647777853<88>

Number: 92223_144
N=12101503345313544296726077856879492583269902651699773591285503600604622679901120704345584900671105410790856437888630685783619
  ( 125 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=7620243200305720178433627196673681023
 r2=1588073113575697728528935879433186144051276413419026749657921230265554117895252647777853
Version: 
Total time: 7.02 hours.
Scaled time: 16.72 units (timescale=2.383).
Factorization parameters were as follows:
n: 12101503345313544296726077856879492583269902651699773591285503600604622679901120704345584900671105410790856437888630685783619
m: 100000000000000000000000000000
deg: 5
c5: 83
c0: 70
skew: 0.97
type: snfs
lss: 1
rlim: 2550000
alim: 2550000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2550000/2550000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1275000, 1950001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 4760461
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 349434 x 349682
Total sieving time: 6.52 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 0.25 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,2550000,2550000,26,26,49,49,2.3,2.3,75000
total time: 7.02 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

11605804892459196580515141468306343575997173002258127079312326943981862709560688330529843206599968337590382999435374525532446934187082817<137>

70315458832223316419214342764791<32>

165053390608618612168814333894623116123683611767851606138040337603496776755267221271940941504830895806087<105>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=4092763463
Step 1 took 6060ms
********** Factor found in step 1: 70315458832223316419214342764791
Found probable prime factor of 32 digits: 70315458832223316419214342764791
Composite cofactor has 105 digits

165053390608618612168814333894623116123683611767851606138040337603496776755267221271940941504830895806087<105>

5791378332563386734299789562740645717003706558548593<52>
28499846000487846733642226699203988710334388566768759<53>

Number: 92223_146
N=165053390608618612168814333894623116123683611767851606138040337603496776755267221271940941504830895806087
  ( 105 digits)
Divisors found:
 r1=5791378332563386734299789562740645717003706558548593
 r2=28499846000487846733642226699203988710334388566768759
Version: 
Total time: 4.39 hours.
Scaled time: 10.46 units (timescale=2.385).
Factorization parameters were as follows:
name: 92223_146
n: 165053390608618612168814333894623116123683611767851606138040337603496776755267221271940941504830895806087
skew: 19553.75
# norm 1.36e+14
c5: 5700
c4: 235810005
c3: 245079180905
c2: -154319593207427431
c1: -148483831425267567230
c0: -814720965704383267381256
# alpha -5.81
Y1: 82920931379
Y0: -123693679908535878411
# Murphy_E 2.07e-09
# M 16105943711929144827060288703611641223991067736201404894401156909521716930802385512633608291851676404138
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, 1650001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 6891219
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 274339 x 274587
Polynomial selection time: 0.36 hours.
Total sieving time: 3.24 hours.
Total relation processing time: 0.43 hours.
Matrix solve time: 0.17 hours.
Time per square root: 0.19 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: 4.39 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

485380116959064327485380116959064327485380116959064327485380116959064327485380116959064327485380116959064327485380116959064327485380116959064327485380117<153>

11845787618552744408592793547872783337647<41>
99267096564836654377879865186188878175450767609761<50>
412774367410497933703892824746397001142527586353054293958148251<63>

Number: s153
N=485380116959064327485380116959064327485380116959064327485380116959064327485380116959064327485380116959064327485380116959064327485380116959064327485380117
  ( 153 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=11845787618552744408592793547872783337647 (pp41)
 r2=99267096564836654377879865186188878175450767609761 (pp50)
 r3=412774367410497933703892824746397001142527586353054293958148251 (pp63)
Version: Msieve-1.40
Total time: 19.76 hours.
Scaled time: 37.09 units (timescale=1.877).
Factorization parameters were as follows:
n: 485380116959064327485380116959064327485380116959064327485380116959064327485380116959064327485380116959064327485380116959064327485380116959064327485380117
m: 5000000000000000000000000000000
deg: 5
c5: 664
c0: 175
skew: 0.77
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, 2600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 496610 x 496839
Total sieving time: 19.17 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.30 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,156.000,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 19.76 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

136233415268155771401978069668754675273317569461066738883978525382951633384097934807394773511147684886619441567552049872987247053<129>

29549430643279790678513909646388049663<38>
4610356690548903466239224249245927737326743875914578310194061475922915915676673744740852531<91>

Number: 92223_156
N=136233415268155771401978069668754675273317569461066738883978525382951633384097934807394773511147684886619441567552049872987247053
  ( 129 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=29549430643279790678513909646388049663
 r2=4610356690548903466239224249245927737326743875914578310194061475922915915676673744740852531
Version: 
Total time: 13.30 hours.
Scaled time: 31.81 units (timescale=2.392).
Factorization parameters were as follows:
n: 136233415268155771401978069668754675273317569461066738883978525382951633384097934807394773511147684886619441567552049872987247053
m: 10000000000000000000000000000000
deg: 5
c5: 830
c0: 7
skew: 0.38
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1500000, 2700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 8688640
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 495054 x 495302
Total sieving time: 12.20 hours.
Total relation processing time: 0.52 hours.
Matrix solve time: 0.52 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 13.30 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

1578121780566208685648783175796566047694410946908300383814237710890474095105303759855938548409399934460792588239638370389847815575334517088184990675021<151>

626045116755851438475264246925740973<36>
1012848459600439964833165666804565900201<40>
2488802357902899188563060987762312568445426174233937076223149292666541768377<76>

Number: s151
N=1578121780566208685648783175796566047694410946908300383814237710890474095105303759855938548409399934460792588239638370389847815575334517088184990675021
  ( 151 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=626045116755851438475264246925740973 (pp36)
 r2=1012848459600439964833165666804565900201 (pp40)
 r3=2488802357902899188563060987762312568445426174233937076223149292666541768377 (pp76)
Version: Msieve-1.40
Total time: 25.44 hours.
Scaled time: 49.04 units (timescale=1.928).
Factorization parameters were as follows:
n: 1578121780566208685648783175796566047694410946908300383814237710890474095105303759855938548409399934460792588239638370389847815575334517088184990675021
m: 50000000000000000000000000000000
deg: 5
c5: 332
c0: 875
skew: 1.21
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1700000, 3200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 703919 x 704146
Total sieving time: 24.62 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.59 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,161.000,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 25.44 hours.
 --------- CPU info (if available) ----------

148844010701156356756903072727115500377610663976925506749656983744503128054493059428451193698102694635708042011524171<117>

65656961003311514015883035936551<32>
2266995127807532404937686268783558513717904515654110062784739793001401834333714626621<85>

GMP-ECM 6.2.3 [powered by GMP 4.3.1] [ECM]
Input number is 148844010701156356756903072727115500377610663976925506749656983744503128054493059428451193698102694635708042011524171 (117 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=6209770295
Step 1 took 3580ms
Step 2 took 2050ms
********** Factor found in step 2: 65656961003311514015883035936551
Found probable prime factor of 32 digits: 65656961003311514015883035936551
Probable prime cofactor 2266995127807532404937686268783558513717904515654110062784739793001401834333714626621 has 85 digits

Core 2 Quad Q6700

95439364023809480581054642335173499968683347594813227958752682845453788329434084730165895893154206050113929086213798165396418181205241013<137>

77479813795087138515341741319858289<35>
1231796507361522933848450105124016132668124640732119124805549061730851641307686899069575749709590710917<103>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=33045363
Step 1 took 42515ms
Step 2 took 14795ms
********** Factor found in step 2: 77479813795087138515341741319858289
Found probable prime factor of 35 digits: 77479813795087138515341741319858289
Probable prime cofactor 1231796507361522933848450105124016132668124640732119124805549061730851641307686899069575749709590710917 has 103 digits

GMP-ECM 6.2.1

135888390448427588923536357204315898704325886989730889174813579864244032329645737188860895257825731028016278138812310117354155861528825745060357373586198927<156>

43567788308512159678025627034514610908398268888666684424948010635688847<71>
3119010528746029397719209328603357416174022932664142751039778863736466253498609584641<85>

Number: 92223_165
N=135888390448427588923536357204315898704325886989730889174813579864244032329645737188860895257825731028016278138812310117354155861528825745060357373586198927
  ( 156 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=43567788308512159678025627034514610908398268888666684424948010635688847
 r2=3119010528746029397719209328603357416174022932664142751039778863736466253498609584641
Version: 
Total time: 24.53 hours.
Scaled time: 58.48 units (timescale=2.384).
Factorization parameters were as follows:
n: 135888390448427588923536357204315898704325886989730889174813579864244032329645737188860895257825731028016278138812310117354155861528825745060357373586198927
m: 1000000000000000000000000000000000
deg: 5
c5: 83
c0: 7
skew: 0.61
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2200000, 4200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9785094
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 781690 x 781938
Total sieving time: 22.13 hours.
Total relation processing time: 0.96 hours.
Matrix solve time: 1.36 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,51,51,2.4,2.4,100000
total time: 24.53 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.. 5347.58 BogoMIPS (lpj=2673792)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672346)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672338)
Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672382)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

18046680791339568105987995271782624955548181659822511120563658341825338231364970479174894920264253865142540823296007780192143957061706913<137>

2338748470101799073342573023708987614335694102823853247817837<61>
7716383793317477781726834228876669577245986975255470721134548118891243631749<76>

N=18046680791339568105987995271782624955548181659822511120563658341825338231364970479174894920264253865142540823296007780192143957061706913
  ( 137 digits)
SNFS difficulty: 168 digits.
Divisors found:
 r1=2338748470101799073342573023708987614335694102823853247817837 (pp61)
 r2=7716383793317477781726834228876669577245986975255470721134548118891243631749 (pp76)
Version: Msieve v. 1.43
Total time: 
Scaled time: 11.60 units (timescale=1.808).
Factorization parameters were as follows:
n: 18046680791339568105987995271782624955548181659822511120563658341825338231364970479174894920264253865142540823296007780192143957061706913
m: 1000000000000000000000000000000000
deg: 5
c5: 8300
c0: 7
skew: 0.24
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, 5200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1013670 x 1013918
Total sieving time: 
Total relation processing time: 0.09 hours.
Matrix solve time: 
Time per square root:
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: 

1422233510523944312983950980017885534220511296353089189912372769142412857748486476124377318777673194446279471379767032059005752625646195635363<142>

41801453629419328737465449135987989297971016530858946596003527<62>
34023541935465003733065506794691605795027595830657654320677086614969830086496069<80>

N = 1422233510523944312983950980017885534220511296353089189912372769142412857748486476124377318777673194446279471379767032059005752625646195635363 (142 digits)
SNFS difficulty: 170 digits.
Divisors found:
r1=41801453629419328737465449135987989297971016530858946596003527 (pp62)
r2=34023541935465003733065506794691605795027595830657654320677086614969830086496069 (pp80)
Version: Msieve v. 1.43
Total time: 35.36 hours.
Factorization parameters were as follows:
n: 1422233510523944312983950980017885534220511296353089189912372769142412857748486476124377318777673194446279471379767032059005752625646195635363
m: 1000000000000000000000000000000000
deg: 5
c5: 83000
c0: 7
skew: 0.15
type: snfs
lss: 1
rlim: 4800000
alim: 4800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 27/27
Sieved rational special-q in [2400000, 5800000)
Relations: 11043036 relations
Pruned matrix : 1045056 x 1045281
Polynomial selection time: 0.00 hours.
Total sieving time: 32.50 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 2.45 hours.
time per square root: 0.27 hours.

GGNFS and msieve using factmsieve.py (the python script)

Intel core 2 duo 2.2 GHz on Windows 2003 (32 Bit)

4187978684702222101124043387459173515020967645089494077037615617224803127158638109697794448960397363490816469150491229716685764858620399089139864864523935307334563489<166>

75175740784686081593779300770475028296195771<44>
7924410550370980851226220768780461448204670107<46>
7030072093617251150883355788994421962121941534602600580932819909233991111337<76>

Number: 92223_170
N=4187978684702222101124043387459173515020967645089494077037615617224803127158638109697794448960397363490816469150491229716685764858620399089139864864523935307334563489
  ( 166 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=75175740784686081593779300770475028296195771 (pp44)
 r2=7924410550370980851226220768780461448204670107 (pp46)
 r3=7030072093617251150883355788994421962121941534602600580932819909233991111337 (pp76)
Version: Msieve-1.40
Total time: 54.19 hours.
Scaled time: 94.23 units (timescale=1.739).
Factorization parameters were as follows:
n: 4187978684702222101124043387459173515020967645089494077037615617224803127158638109697794448960397363490816469150491229716685764858620399089139864864523935307334563489
m: 10000000000000000000000000000000000
deg: 5
c5: 83
c0: 7
skew: 0.61
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2550000, 5350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 982004 x 982229
Total sieving time: 52.51 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.25 hours.
Time per square root: 0.32 hours.
Prototype def-par.txt line would be:
snfs,171.000,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 54.19 hours.

GGNFS, Msieve

51084007732527607708468881410364766876931444623052104916199457384114141599458578578235978872123551530912386258714934685430605698339<131>

414480050876205897564526516608493974620731<42>
123248411170903455968666289818045506324912821743655323290796263214764333989033065943910969<90>

Number: 92223_171
N=51084007732527607708468881410364766876931444623052104916199457384114141599458578578235978872123551530912386258714934685430605698339
  ( 131 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=414480050876205897564526516608493974620731 (pp42)
 r2=123248411170903455968666289818045506324912821743655323290796263214764333989033065943910969 (pp90)
Version: Msieve-1.40
Total time: 94.34 hours.
Scaled time: 191.97 units (timescale=2.035).
Factorization parameters were as follows:
name: 92223_171
n: 51084007732527607708468881410364766876931444623052104916199457384114141599458578578235978872123551530912386258714934685430605698339
m: 10000000000000000000000000000000000
deg: 5
c5: 830
c0: 7
skew: 0.38
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, 6050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1005157 x 1005405
Total sieving time: 91.24 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 2.60 hours.
Time per square root: 0.34 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: 94.34 hours.
 --------- CPU info (if available) ----------

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

4791698692384385056852287614288618895328259515967597653461709800398525017096486399858094275478752428243107293059750688326877205797494200979210575172453484343<157>

26467128626144142057989900927132990654575890427714084716555879583<65>
181043390088457156917263132510169158763482057682597992915781668852715848391334152136988335721<93>

Number: 92223_173
N=4791698692384385056852287614288618895328259515967597653461709800398525017096486399858094275478752428243107293059750688326877205797494200979210575172453484343
  ( 157 digits)
SNFS difficulty: 174 digits.
Divisors found:
 r1=26467128626144142057989900927132990654575890427714084716555879583 (pp65)
 r2=181043390088457156917263132510169158763482057682597992915781668852715848391334152136988335721 (pp93)
Version: Msieve-1.40
Total time: 124.99 hours.
Scaled time: 309.36 units (timescale=2.475).
Factorization parameters were as follows:
name: 92223_173
n: 4791698692384385056852287614288618895328259515967597653461709800398525017096486399858094275478752428243107293059750688326877205797494200979210575172453484343
m: 10000000000000000000000000000000000
deg: 5
c5: 83000
c0: 7
skew: 0.15
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2900000, 8300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1164877 x 1165125
Total sieving time: 121.26 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 3.41 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,174.000,5,0,0,0,0,0,0,0,0,5800000,5800000,27,27,52,52,2.4,2.4,100000
total time: 124.99 hours.
 --------- CPU info (if available) ----------

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

6035805629687694180491984862148696132661374250391883560705274126412960499409892791045002351524749764196775643877850805608044475294018795734368430513<148>

328749967218276899896391463438834065125811<42>
18359866864047957026554208865672912611276659554631910658406148683586377668388348340420774014408955281366283<107>

GMP-ECM 6.4 [configured with GMP 5.0.5, --enable-asm-redc] [ECM]
Running on ubuntu
Input number is 6035805629687694180491984862148696132661374250391883560705274126412960499409892791045002351524749764196775643877850805608044475294018795734368430513 (148 digits)
Using MODMULN
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4206441917
dF=16384, k=2, d=158340, d2=11, i0=8
Expected number of curves to find a factor of n digits:
35      40      45      50      55      60      65      70      75      80
324     2351    20272   201449  2247436 2.8e+07 3.9e+08 6e+09   1.1e+11 7.4e+15
Step 1 took 6380ms
********** Factor found in step 1: 328749967218276899896391463438834065125811
Found probable prime factor of 42 digits: 328749967218276899896391463438834065125811
Probable prime cofactor 18359866864047957026554208865672912611276659554631910658406148683586377668388348340420774014408955281366283 has 107 digits

Group order is: 2^3 · 3^5 · 17 · 23 · 373 · 1279 · 6197 · 20407 · 47507 · 112111 · 645499 · 2085217

22961591084045195875773528244106070855689644902041107008125974082609502612476242158959523202871339518792734377124451724330821762990198230110625070751<149>

228197676384363546163284943988518915508316576964141582975929866068549<69>
100621493819989480045692099987072299644492130045149482860654567065240879719095699<81>

N = 22961591084045195875773528244106070855689644902041107008125974082609502612476242158959523202871339518792734377124451724330821762990198230110625070751 (149 digits)
SNFS difficulty: 177 digits.
Divisors found:
r1=228197676384363546163284943988518915508316576964141582975929866068549 (pp69)
r2=100621493819989480045692099987072299644492130045149482860654567065240879719095699 (pp81)
Version: Msieve v. 1.48
Total time: 32.75 hours.
Factorization parameters were as follows:
name: warut822@yahoo.com
n: 22961591084045195875773528244106070855689644902041107008125974082609502612476242158959523202871339518792734377124451724330821762990198230110625070751
Y0: 100000000000000000000000000000000000
Y1: -1
c0: 7
c1: 0
c2: 0
c3: 0
c4: 0
c5: 83
skew: 0.61
type: snfs
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 20373634
Relations: 2348470 relations
Pruned matrix : 1343528 x 1343754
Polynomial selection time: 0.00 hours.
Total sieving time: 30.30 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 2.22 hours.
time per square root: 0.11 hours.
Prototype def-par.txt line would be: snfs,177,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,55,55,2.5,2.5,100000
total time: 32.75 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

215559979212852076244645396948939847217302322377405896329104865775317026341673284786876613945976111950333588845883578264293049888552642512672884906522663200176849531<165>

794553250696256268886654838337455612960366907519171633271<57>
271297083013579997899168020534040018910362404448149127448152419241808759733975829226842925917002439175820061<108>

N=215559979212852076244645396948939847217302322377405896329104865775317026341673284786876613945976111950333588845883578264293049888552642512672884906522663200176849531
  ( 165 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=794553250696256268886654838337455612960366907519171633271 (pp57)
 r2=271297083013579997899168020534040018910362404448149127448152419241808759733975829226842925917002439175820061 (pp108)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 153.18 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 215559979212852076244645396948939847217302322377405896329104865775317026341673284786876613945976111950333588845883578264293049888552642512672884906522663200176849531
m: 500000000000000000000000000000000000
deg: 5
c5: 1328
c0: 35
skew: 0.48
# Murphy_E = 7.168e-11
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3700000, 11500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1532522 x 1532754
Total sieving time: 150.57 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 2.20 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
snfs,181.000,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,53,53,2.5,2.5,100000
total time: 153.18 hours.
 --------- CPU info (if available) ----------
[    0.074309] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49296732k/51380224k available (5105k kernel code, 1057796k absent, 1025696k reserved, 7223k data, 1316k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.00 BogoMIPS (lpj=2400000)
[    0.707507] Total of 16 processors activated (76799.07 BogoMIPS).

174690681795740838422553835380257212602035494352251889743984628702692293608083562232437923959477972906380525850145604733474012167480849180559432023078911290067259062164353<171>

5936359082576308960136708250460423700727308473725617191341894012883404241153447<79>
29427243090545521443803963805695334423408212151540871636346022089024714846752688125925237399<92>

N=174690681795740838422553835380257212602035494352251889743984628702692293608083562232437923959477972906380525850145604733474012167480849180559432023078911290067259062164353
  ( 171 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=5936359082576308960136708250460423700727308473725617191341894012883404241153447 (pp79)
 r2=29427243090545521443803963805695334423408212151540871636346022089024714846752688125925237399 (pp92)
Version: Msieve v. 1.50
Total time:
Scaled time: 31.43 units (timescale=1.450).
Factorization parameters were as follows:
n: 174690681795740838422553835380257212602035494352251889743984628702692293608083562232437923959477972906380525850145604733474012167480849180559432023078911290067259062164353
m: 1000000000000000000000000000000000000
deg: 5
c5: 83
c0: 7
skew: 0.61
type: snfs
lss: 1
rlim: 7500000
alim: 7500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 160000
Factor base limits: 7500000/7500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3750000, 9510001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1532219 x 1532445
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,181.000,5,0,0,0,0,0,0,0,0,7500000,7500000,28,28,53,53,2.5,2.5,100000
total time:
 --------- CPU info (if available) ----------

952868361106199235841284492416246656942795750757682064195068060631090979633965844580894846083466990204178853816571129381918206071<129>

224437963133592964448686504282443534327677<42>
4245575694068388034155339395025821288916179217836087032692125228590049200357040943403523<88>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4111386264
Step 1 took 38383ms
Step 2 took 14033ms
********** Factor found in step 2: 224437963133592964448686504282443534327677
Found probable prime factor of 42 digits: 224437963133592964448686504282443534327677
Probable prime cofactor 4245575694068388034155339395025821288916179217836087032692125228590049200357040943403523 has 88 digits

GMP-ECM 6.2.1

34074984383081713846970746441023439455974650297406724882333469865495595032777320461813158232524814038724352498950216198962413753066210170556051753378999034647<158>

1595228996677190627105381551170307721<37>
21360559803049456956223530961267356758266923829001386830212743091199974880058586188458362519500479102539819071366246888607<122>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2881344130
Step 1 took 12791ms
Step 2 took 5340ms
********** Factor found in step 2: 1595228996677190627105381551170307721
Found probable prime factor of 37 digits: 1595228996677190627105381551170307721
Probable prime cofactor 21360559803049456956223530961267356758266923829001386830212743091199974880058586188458362519500479102539819071366246888607 has 122 digits

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

C2D, 3 GHz, Mac OS X

1209373554327299220831830767047293907290980804566451231726197019577481745241884708765984739051093617544467196282788862827210059722299493967502841497<148>

270123578257344590362034461927415689477395845637559<51>
4477112150406724689840014558582311683358066679736718985377893666760786247044057064462462972519983<97>

Number: 92223_185
N=1209373554327299220831830767047293907290980804566451231726197019577481745241884708765984739051093617544467196282788862827210059722299493967502841497
  ( 148 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=270123578257344590362034461927415689477395845637559
 r2=4477112150406724689840014558582311683358066679736718985377893666760786247044057064462462972519983
Version: 
Total time: 78.85 hours.
Scaled time: 414.43 units (timescale=5.256).
Factorization parameters were as follows:
n: 1209373554327299220831830767047293907290980804566451231726197019577481745241884708765984739051093617544467196282788862827210059722299493967502841497
m: 10000000000000000000000000000000000000
deg: 5
c5: 83
c0: 7
skew: 0.61
# Murphy_E = 5.69e-11
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4200000, 7700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20618973
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1658896 x 1659144
Total sieving time: 73.04 hours.
Total relation processing time: 1.90 hours.
Matrix solve time: 3.47 hours.
Time per square root: 0.45 hours.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,54,54,2.5,2.5,100000
total time: 78.85 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.24 BogoMIPS (lpj=3400120)
Total of 12 processors activated (81602.88 BogoMIPS).

GGNFS / Msieve v1.39

Core i7-4930K

1515950043282528522751837850003193218717263652517988754563430978493974759272808803112194397767532087321150829099877971916852508457194289529143861537976405277<157>

14353187954208977087056985847697973153<38>
105617654288292534751048708124900443287651507157113193134225576244743532921411440021823187219527697584019818690984717309<120>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4047888831
Step 1 took 48406ms
Step 2 took 17354ms
********** Factor found in step 2: 14353187954208977087056985847697973153
Found probable prime factor of 38 digits: 14353187954208977087056985847697973153
Probable prime cofactor 105617654288292534751048708124900443287651507157113193134225576244743532921411440021823187219527697584019818690984717309 has 120 digits

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

C2D, 3 GHz, Mac OS X

485380116959064327485380116959064327485380116959064327485380116959064327485380116959064327485380116959064327485380116959064327485380116959064327485380116959064327485380116959064327485380117<189>

5990378735789383269628097762672663<34>

81026615906465431938041626994478818515681338940598425649469860858583139654675179162239812855902595745749467893554470062276252107338980178289378117466811059<155>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3355232220
Step 1 took 69614ms
********** Factor found in step 1: 5990378735789383269628097762672663
Found probable prime factor of 34 digits: 5990378735789383269628097762672663
Composite cofactor 81026615906465431938041626994478818515681338940598425649469860858583139654675179162239812855902595745749467893554470062276252107338980178289378117466811059 has 155 digits

GMP-ECM 6.2.1

81026615906465431938041626994478818515681338940598425649469860858583139654675179162239812855902595745749467893554470062276252107338980178289378117466811059<155>

510947666832600556692378497152716551054345642797<48>
158581046878548152573618496134274475263915825966223145019584368532756472035230223947251229428999316247146847<108>

(D_U†òÚo

d = 6253157901540447636784069869625555977449117774908500449879194166932381288421558189588885448266022280074479729632384011506993514179759623526000967745085618
kþWf
x^2+y^2=1-d x^2 y^2gB‹
~_

B1=43000000
B2=4300000000
hW_

Stage1: d = 6253157901540447636784069869625555977449117774908500449879194166932381288421558189588885448266022280074479729632384011506993514179759623526000967745085618
Stage1 time: 673.698838 seconds
Stage2 time: 273.167464 seconds
Stage2 gcd: -42494021428042963
total time: 946.866 seconds
Y=1141968457964851527477872621289487853028405218350110049763450803996259427434420103310715900505583536487407867147836060052333497723723007505381714724340710
--------------------------------------------------
@ probable prime factor found: 510947666832600556692378497152716551054345642797 digits: 48 cofactor: 158581046878548152573618496134274475263915825966223145019584368532756472035230223947251229428999316247146847

g\W_ECM×í°éà’(D_

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

30740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740741<191>

31409756452905266401572874729021762403039657905422482493898473135389505774302363727127<86>
978700385239610967893947803706059231473265933390451927236545688516093764875631745635126600791366581119683<105>

Number: 92223_190
N=30740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740741
  ( 191 digits)
SNFS difficulty: 191 digits.
Divisors found:
 r1=31409756452905266401572874729021762403039657905422482493898473135389505774302363727127 (pp86)
 r2=978700385239610967893947803706059231473265933390451927236545688516093764875631745635126600791366581119683 (pp105)
Version: Msieve v. 1.42
Total time: 12.72 hours.
Scaled time: 13.02 units (timescale=1.024).
Factorization parameters were as follows:
name: 92223_190
n: 30740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740741
m: 100000000000000000000000000000000000000
deg: 5
c5: 83
c0: 7
skew: 0.61
type: snfs
lss: 1
rlim: 11100000
alim: 11100000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 11100000/11100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5550000, 10550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2084496 x 2084721
Total sieving time: 0.00 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 11.53 hours.
Time per square root: 0.98 hours.
Prototype def-par.txt line would be:
snfs,191.000,5,0,0,0,0,0,0,0,0,11100000,11100000,28,28,54,54,2.5,2.5,100000
total time: 12.72 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU1: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU2: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU3: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
Memory: 3057976k/3145344k available (3786k kernel code, 496k absent, 86872k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 4787.88 BogoMIPS (lpj=2393941)
Calibrating delay using timer specific routine.. 4787.76 BogoMIPS (lpj=2393880)
Calibrating delay using timer specific routine.. 4787.77 BogoMIPS (lpj=2393886)
Calibrating delay using timer specific routine.. 4787.78 BogoMIPS (lpj=2393891)
Total of 4 processors activated (19151.19 BogoMIPS).

total time: 9 days 1 hour.

62986169418232690403456193749759328163205938137311235070186452724230962313703085138499613654395700107786810033756040467693321520584131727028146846986948633598824742091580429<173>

1945616867226820747031708741644362740181767188374598297403683875830045551399046336801<85>
32373367274518873223932607961114498937584794893983950569885448882823750072916720630053229<89>

62986169418232690403456193749759328163205938137311235070186452724230962313703085138499613654395700107786810033756040467693321520584131727028146846986948633598824742091580429=1945616867226820747031708741644362740181767188374598297403683875830045551399046336801*32373367274518873223932607961114498937584794893983950569885448882823750072916720630053229

cado polynomial
n: 62986169418232690403456193749759328163205938137311235070186452724230962313703085138499613654395700107786810033756040467693321520584131727028146846986948633598824742091580429
skew: 0.38
type: snfs
c0: 7
c5: 830
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 830*x^5+7
# g(x) = -x+100000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 11500000
tasks.lim1 = 11500000
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: 1945616867226820747031708741644362740181767188374598297403683875830045551399046336801 32373367274518873223932607961114498937584794893983950569885448882823750072916720630053229
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 4.93/2.02211
Info:Generate Free Relations: Total cpu/real time for freerel: 102.63/26.6082
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 28017681
Info:Lattice Sieving: Average J: 1895.86 for 2710272 special-q, max bucket fill -bkmult 1.0,1s:1.074380
Info:Lattice Sieving: Total time: 650426s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 52.47/131.643
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 130.89999999999998s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 472.74/470.556
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 411.80000000000007s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 405.59/480.229
Info:Filtering - Merging: Merged matrix has 2325860 rows and total weight 400508240 (172.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 335.41/96.509
Info:Filtering - Merging: Total cpu/real time for replay: 90.88/79.0246
Info:Linear Algebra: Total cpu/real time for bwc: 94122.8/24064.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 15283.36, iteration CPU time 0.2, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (72704 iterations)
Info:Linear Algebra: Lingen CPU time 461.89, WCT time 134.21
Info:Linear Algebra: Mksol: WCT time 8422.23, iteration CPU time 0.22, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (36352 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 81.7/33.6964
Info:Square Root: Total cpu/real time for sqrt: 668.86/209.898
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.29645e+06/350769
Info:root: Cleaning up computation data in /tmp/cado.s7pv5ypp
1945616867226820747031708741644362740181767188374598297403683875830045551399046336801 32373367274518873223932607961114498937584794893983950569885448882823750072916720630053229

cado-nfs-3.0.0

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

207651917623803780786513961648056814245159723240623532074506879046443180214537004736322581760009168307510854172135198681017035360527173278652729140007006275773840452240257842036589363687<186>

1445718886316283565034229197590848301411089091968886986648304671591691072357<76>
143632292272880529647040203913866451025244233853061390470672288273990302004970193140529440669279769961733945691<111>

Number: 3
N=207651917623803780786513961648056814245159723240623532074506879046443180214537004736322581760009168307510854172135198681017035360527173278652729140007006275773840452240257842036589363687
  ( 186 digits)
SNFS difficulty: 193 digits.
Divisors found:
 r1=1445718886316283565034229197590848301411089091968886986648304671591691072357 (pp76)
 r2=143632292272880529647040203913866451025244233853061390470672288273990302004970193140529440669279769961733945691 (pp111)
Version: Msieve-1.40
Total time: 460.19 hours.
Scaled time: 798.44 units (timescale=1.735).
Factorization parameters were as follows:
n: 207651917623803780786513961648056814245159723240623532074506879046443180214537004736322581760009168307510854172135198681017035360527173278652729140007006275773840452240257842036589363687
m: 100000000000000000000000000000000000000
deg: 5
c5: 8300
c0: 7
skew: 0.24
type: snfs
lss: 1
rlim: 11900000
alim: 11900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11900000/11900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [5950000, 13150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2525277 x 2525502
Total sieving time: 448.60 hours.
Total relation processing time: 0.29 hours.
Matrix solve time: 10.65 hours.
Time per square root: 0.66 hours.
Prototype def-par.txt line would be:
snfs,193.000,5,0,0,0,0,0,0,0,0,11900000,11900000,28,28,55,55,2.5,2.5,100000
total time: 460.19 hours.

GGNFS, Msieve

512997006100343366740737029216572507860719594250140450452520468279822554636610131217579843102071206391378756402390896908512538344878263403443386120391489093446346553601548820671811<180>

17384808491550678926416760474409041<35>

29508349565637659257065738518852610078076574732950963495951802148515196071769642443407303960747852562916156561290057925509658781150134805629573971<146>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2978660525
Step 1 took 29219ms
Step 2 took 15741ms
********** Factor found in step 2: 17384808491550678926416760474409041
Found probable prime factor of 35 digits: 17384808491550678926416760474409041
Composite cofactor 29508349565637659257065738518852610078076574732950963495951802148515196071769642443407303960747852562916156561290057925509658781150134805629573971 has 146 digits

GMP-ECM 6.3

29508349565637659257065738518852610078076574732950963495951802148515196071769642443407303960747852562916156561290057925509658781150134805629573971<146>

49345996008808778421521799549012365003<38>

597988731656568630640998044337048003659714660556037909985365871525927649802995297146867403743247892173589657<108>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2051369989
Step 1 took 76940ms
Step 2 took 39671ms
********** Factor found in step 2: 49345996008808778421521799549012365003
Found probable prime factor of 38 digits: 49345996008808778421521799549012365003
Composite cofactor 597988731656568630640998044337048003659714660556037909985365871525927649802995297146867403743247892173589657 has 108 digits

GMP-ECM 6.3

597988731656568630640998044337048003659714660556037909985365871525927649802995297146867403743247892173589657<108>

39613333896843399926140180479055079367199174258417151<53>
15095642624117015742097063332468408068733345609167029607<56>

Number: c108
N = 597988731656568630640998044337048003659714660556037909985365871525927649802995297146867403743247892173589657 (108 digits)
Divisors found:
r1=39613333896843399926140180479055079367199174258417151 (pp53)
r2=15095642624117015742097063332468408068733345609167029607 (pp56)
Version: Msieve v. 1.48
Total time: 9.34 hours.
Factorization parameters were as follows:
n: 597988731656568630640998044337048003659714660556037909985365871525927649802995297146867403743247892173589657
Y0: -248822092775368009336889448
Y1: 97897217316307
c0: -24265580146610833569753740509295
c1: -261365273355515005468567
c2: -179138074457985445
c3: 11547540031
c4: 156
skew: 33872061.32
type: gnfs
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Sieved algebraic special-q in [0, 0)
Total raw relations: 5632126
Relations: 657290 relations
Pruned matrix : 403893 x 404118
Polynomial selection time: 0.00 hours.
Total sieving time: 8.87 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.35 hours.
time per square root: 0.06 hours.
Prototype def-par.txt line would be: gnfs,107,4,59,2000,0.0006,0.25,200,15,15000,2000,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 9.34 hours.
x86 Family 6 Model 23 Stepping 6, GenuineIntel
Windows-Vista-6.0.6002-SP2
processors: 2, speed: 2.09GHz

factmsieve76.py via GGNFS

Core 2 Duo T8100 @2.1GHz on Win Vista 32bit

80450456621052175560874943960542376268127340909983640363468050993627348120702231452378565297877889556549214244757721946851548466374237895598516382038003197<155>

7789094659509866334564706113455569317429285966955167584577691121<64>
10328601735867794805885330629220310774285525822921055805871292643279068038834818158273713357<92>

80450456621052175560874943960542376268127340909983640363468050993627348120702231452378565297877889556549214244757721946851548466374237895598516382038003197=7789094659509866334564706113455569317429285966955167584577691121*10328601735867794805885330629220310774285525822921055805871292643279068038834818158273713357

cado polynomial
n: 80450456621052175560874943960542376268127340909983640363468050993627348120702231452378565297877889556549214244757721946851548466374237895598516382038003197
skew: 0.97
type: snfs
c0: 70
c5: 83
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 83*x^5+70
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 13400000
tasks.lim1 = 13400000
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: 7789094659509866334564706113455569317429285966955167584577691121 10328601735867794805885330629220310774285525822921055805871292643279068038834818158273713357
Info:Square Root: Total cpu/real time for sqrt: 1788.56/257.462
Info:Generate Free Relations: Total cpu/real time for freerel: 143.13/13.2181
Info:Filtering - Merging: Merged matrix has 2978553 rows and total weight 509529219 (171.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 1111.84/278.33
Info:Filtering - Merging: Total cpu/real time for replay: 139.65/111.713
Info:Generate Factor Base: Total cpu/real time for makefb: 7.28/1.29484
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1124.54/898.157
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 689.7s
Info:Quadratic Characters: Total cpu/real time for characters: 125.55/35.0866
Info:Square Root: Total cpu/real time for sqrt: 1788.56/257.462
Info:Linear Algebra: Total cpu/real time for bwc: 274212/57682.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 168326.78, WCT time 36659.69, iteration CPU time 0.3, COMM 0.01, cpu-wait 0.09, comm-wait 0.0 (93184 iterations)
Info:Linear Algebra: Lingen CPU time 17754.89, WCT time 1644.5
Info:Linear Algebra: Mksol: CPU time 86232.46,  WCT time 18946.21, iteration CPU time 0.32, COMM 0.01, cpu-wait 0.08, comm-wait 0.0 (46592 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 875.81/810.155
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 31458600
Info:Lattice Sieving: Average J: 1893.42 for 4978707 special-q, max bucket fill -bkmult 1.0,1s:1.102520
Info:Lattice Sieving: Total time: 2.15084e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 273.59/185.818
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 184.29999999999998s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 4.50182e+06/490560
Info:root: Cleaning up computation data in /tmp/cado.ak0xj_lc
7789094659509866334564706113455569317429285966955167584577691121 10328601735867794805885330629220310774285525822921055805871292643279068038834818158273713357

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)

29255349895259082424243974080752942403965160938758604874734763386822516510175200182615616323039774263050080905812755094760244976529092961207513194712453708970706651<164>

33488112409886176650385476104128443257656901123<47>
873604028115435932417810876190326846337655867626732252423618371006051552754264597440916010249190105254297741836273737<117>

29255349895259082424243974080752942403965160938758604874734763386822516510175200182615616323039774263050080905812755094760244976529092961207513194712453708970706651=33488112409886176650385476104128443257656901123*873604028115435932417810876190326846337655867626732252423618371006051552754264597440916010249190105254297741836273737

cado polynomial
n: 29255349895259082424243974080752942403965160938758604874734763386822516510175200182615616323039774263050080905812755094760244976529092961207513194712453708970706651
skew: 0.38
type: snfs
c0: 7
c5: 830
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 830*x^5+7
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 13900000
tasks.lim1 = 13900000
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: 33488112409886176650385476104128443257656901123 873604028115435932417810876190326846337655867626732252423618371006051552754264597440916010249190105254297741836273737
Info:Square Root: Total cpu/real time for sqrt: 1521.54/466.524
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 30917790
Info:Lattice Sieving: Average J: 1895.64 for 4426515 special-q, max bucket fill -bkmult 1.0,1s:1.153950
Info:Lattice Sieving: Total time: 1.01578e+06s
Info:Generate Factor Base: Total cpu/real time for makefb: 5.88/2.8043
Info:Generate Free Relations: Total cpu/real time for freerel: 117.87/31.8855
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 132.34/156.907
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 156.10000000000002s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 584.7/603.466
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 487.4s
Info:Filtering - Merging: Merged matrix has 2836052 rows and total weight 483560964 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 804.7/221.532
Info:Filtering - Merging: Total cpu/real time for replay: 109.92/95.7348
Info:Linear Algebra: Total cpu/real time for bwc: 142865/36553.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 91729.06, WCT time 23401.12, iteration CPU time 0.25, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (89088 iterations)
Info:Linear Algebra: Lingen CPU time 613.45, WCT time 155.63
Info:Linear Algebra: Mksol: CPU time 49460.09,  WCT time 12621.71, iteration CPU time 0.27, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (44544 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 96.06/41.9147
Info:Square Root: Total cpu/real time for sqrt: 1521.54/466.524
Info:Filtering - Singleton removal: Total cpu/real time for purge: 482.48/560.14
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.05372e+06/546937
Info:root: Cleaning up computation data in /tmp/cado.r6cz1usb
33488112409886176650385476104128443257656901123 873604028115435932417810876190326846337655867626732252423618371006051552754264597440916010249190105254297741836273737

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)

15227554455351745490858509417228865742861381502347939094707015461638464748811427986884533582268110168261516606740420898694964619411910498674723514524839<152>

528215959460495747809762984031382524128309702233519762790213918600159871<72>
28828274084911637170096018212353771530421319254222244732366437719100834809666009<80>

15227554455351745490858509417228865742861381502347939094707015461638464748811427986884533582268110168261516606740420898694964619411910498674723514524839=528215959460495747809762984031382524128309702233519762790213918600159871*28828274084911637170096018212353771530421319254222244732366437719100834809666009

cado polynomial
n: 15227554455351745490858509417228865742861381502347939094707015461638464748811427986884533582268110168261516606740420898694964619411910498674723514524839
skew: 0.97
type: snfs
c0: 70
c6: 83
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 83*x^6+70
# 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: 28828274084911637170096018212353771530421319254222244732366437719100834809666009 528215959460495747809762984031382524128309702233519762790213918600159871
Info:Square Root: Total cpu/real time for sqrt: 1665.2/482.938
Info:Filtering - Singleton removal: Total cpu/real time for purge: 443.87/516.353
Info:Square Root: Total cpu/real time for sqrt: 1665.2/482.938
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 30025881
Info:Lattice Sieving: Average J: 1893.57 for 4755734 special-q, max bucket fill -bkmult 1.0,1s:1.183670
Info:Lattice Sieving: Total time: 1.06326e+06s
Info:Generate Factor Base: Total cpu/real time for makefb: 9.8/3.9361
Info:Linear Algebra: Total cpu/real time for bwc: 158177/40474.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 101558.65, WCT time 25907.96, iteration CPU time 0.26, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (93184 iterations)
Info:Linear Algebra: Lingen CPU time 642.58, WCT time 163.16
Info:Linear Algebra: Mksol: CPU time 54854.95,  WCT time 14007.77, iteration CPU time 0.29, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (46592 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 130.09/152.436
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 151.70000000000002s
Info:Filtering - Merging: Merged matrix has 2970008 rows and total weight 506590722 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 836.28/231.206
Info:Filtering - Merging: Total cpu/real time for replay: 119.73/103.989
Info:Quadratic Characters: Total cpu/real time for characters: 103.41/45.7072
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 564.75/571.756
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 471.3s
Info:Generate Free Relations: Total cpu/real time for freerel: 183.18/46.8003
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.14716e+06/574708
Info:root: Cleaning up computation data in /tmp/cado.sakb7d_g
28828274084911637170096018212353771530421319254222244732366437719100834809666009 528215959460495747809762984031382524128309702233519762790213918600159871

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)

39038668737371725578157862960058893641588117690335581052885971449215425999195549437490646299694620248974612913843929864933872798819361537247576967428143180422677686840726544618900729505255096323<194>

754276925913022859240200609780057473043<39>
51756413853064557977845778798045242171145092763877698881960484134403852783528030697315008971775938141452595045991910552572516580627863618160062103616314961<155>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1281041185
Step 1 took 21631ms
Step 2 took 7746ms
********** Factor found in step 2: 754276925913022859240200609780057473043
Found probable prime factor of 39 digits: 754276925913022859240200609780057473043
Probable prime cofactor 51756413853064557977845778798045242171145092763877698881960484134403852783528030697315008971775938141452595045991910552572516580627863618160062103616314961 has 155 digits

GMP-ECM 6.2.3

463189817083368468580691337141729578799256634870310416352878612353090786659383529459727634214804114897127889066075732782838603621078704815401<141>

167558463934031750374352058103581098448777872502617739676289963<63>
2764347477342162989856658708335138898228999670829011948885790299879580023432827<79>

Number: 92223_201
N = 463189817083368468580691337141729578799256634870310416352878612353090786659383529459727634214804114897127889066075732782838603621078704815401 (141 digits)
Divisors found:
r1=167558463934031750374352058103581098448777872502617739676289963 (pp63)
r2=2764347477342162989856658708335138898228999670829011948885790299879580023432827 (pp79)
Version: Msieve v. 1.51 (SVN 845)
Total time: 377.32 hours.
Factorization parameters were as follows:
# Murphy_E = 1.811e-11, selected by Maksym Voznyy
# expecting poly E from 1.87e-011 to > 2.15e-011; sieved all c5<432
n: 463189817083368468580691337141729578799256634870310416352878612353090786659383529459727634214804114897127889066075732782838603621078704815401
Y0: -4637265046440442896860440786
Y1: 624291646113349
c0: -725941620842954991502627940806470375
c1: 2184272022380808052076721963360
c2: -253486392031554799307885
c3: -135990759023389388
c4: -16045401048
c5: 216
skew: 7348293.87
type: gnfs
# selected mechanically
rlim: 19000000
alim: 19000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19000000/19000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23317542
Relations: 3899960 relations
Pruned matrix : 2404069 x 2404295
Polynomial selection time: 0.00 hours.
Total sieving time: 371.09 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 5.73 hours.
time per square root: 0.30 hours.
Prototype def-par.txt line would be: gnfs,140,5,65,2000,1e-05,0.28,250,20,50000,3600,19000000,19000000,28,28,56,56,2.6,2.6,100000
total time: 377.32 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 8, speed: 2.29GHz

GGNFS, Msieve

458997768837514610736423052630467455601417964103931481062908948190690107497627796753146413375228732740310651830863155946326424977563<132>

23739020332057732538823647160802742454459284677<47>
19335160525460825610228700800708024896815174338879192206734343487546470521001180913119<86>

12/27/13 10:09:13 v1.34.3, 
12/27/13 10:09:13 v1.34.3, ****************************
12/27/13 10:09:13 v1.34.3, Starting factorization of 458997768837514610736423052630467455601417964103931481062908948190690107497627796753146413375228732740310651830863155946326424977563
12/27/13 10:09:13 v1.34.3, using pretesting plan: normal
12/27/13 10:09:13 v1.34.3, using tune info for qs/gnfs crossover
12/27/13 10:09:13 v1.34.3, input indicated to have been pretested to t40.00
12/27/13 10:09:13 v1.34.3, ****************************
12/27/13 10:09:13 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C132
12/27/13 10:09:13 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C132
12/27/13 10:09:13 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C132
12/27/13 10:09:13 v1.34.3, current ECM pretesting depth: 40.58
12/27/13 10:09:13 v1.34.3, scheduled 32 curves at B1=11000000 toward target pretesting depth of 40.62
12/27/13 10:24:15 v1.34.3, Finished 32 curves using Lenstra ECM method on C132 input, B1=11M, B2=gmp-ecm default
12/27/13 10:24:15 v1.34.3, final ECM pretested depth: 40.62
12/27/13 10:24:15 v1.34.3, scheduler: switching to sieve method
12/27/13 10:24:15 v1.34.3, nfs: commencing nfs on c132: 458997768837514610736423052630467455601417964103931481062908948190690107497627796753146413375228732740310651830863155946326424977563
12/27/13 10:24:15 v1.34.3, nfs: commencing poly selection with 8 threads
12/27/13 10:24:15 v1.34.3, nfs: setting deadline of 9450 seconds
12/27/13 13:07:25 v1.34.3, nfs: completed 443 ranges of size 250 in 9790.4388 seconds
12/27/13 13:07:25 v1.34.3, nfs: best poly = # norm 1.123997e-12 alpha -5.490959 e 5.918e-11 rroots 3
12/27/13 13:07:25 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/27/13 13:21:27 v1.34.3, nfs: commencing lattice sieving with 8 threads
[77 lines omitted]
12/28/13 11:56:40 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/28/13 12:10:21 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/28/13 12:23:37 v1.34.3, nfs: commencing msieve filtering
12/28/13 12:27:14 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/28/13 12:40:50 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/28/13 12:54:59 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/28/13 13:08:28 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/28/13 13:21:53 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/28/13 13:35:22 v1.34.3, nfs: commencing msieve filtering
12/28/13 13:40:14 v1.34.3, nfs: commencing msieve linear algebra
12/28/13 15:08:17 v1.34.3, nfs: commencing msieve sqrt
12/28/13 15:12:48 v1.34.3, prp86 = 19335160525460825610228700800708024896815174338879192206734343487546470521001180913119
12/28/13 15:12:48 v1.34.3, prp47 = 23739020332057732538823647160802742454459284677
12/28/13 15:12:48 v1.34.3, NFS elapsed time = 103713.3814 seconds.
12/28/13 15:12:48 v1.34.3, 
12/28/13 15:12:48 v1.34.3, 
12/28/13 15:12:48 v1.34.3, Total factoring time = 104614.9301 seconds

yafu 1.34.3

Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

911859320217766113040877356870309947812312414970121462812956749730302311081610147216339257789377818631771239474895119239706056887644818623749<141>

1205299253711062854387567544322640744361<40>
756541844201920624470033800492636027457326708709348033031871917359771102502106519246596623874954304509<102>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2468484802
Step 1 took 9816ms
Step 2 took 9445ms
********** Factor found in step 2: 1205299253711062854387567544322640744361
Found probable prime factor of 40 digits: 1205299253711062854387567544322640744361
Probable prime cofactor

84607543323139653414882772680937818552497451580020387359836901121304791029561671763506625891946992864424057084607543323139653414882772680937818552497451580020387359836901121304791029561671763506625891947<203>

47502179725970898803981932677942050189197308913<47>
1781129704178229827859955868208821031604205138920247003746074136254009677358270509363697659238657585236964892545865506546891788439946950150483576769849480219<157>

Using B1=43000000, B2=582162027730, polynomial Dickson(30), sigma=3162721580
Step 1 took 264292ms
Step 2 took 153824ms
********** Factor found in step 2: 47502179725970898803981932677942050189197308913
Found probable prime factor of 47 digits: 47502179725970898803981932677942050189197308913
Probable prime cofactor

1887479415604604378066404066136559636213000013952563754509137934995597515418346145590472029212816939854487467720033279162942158207702146571476040875006065880148988338802244118751793219547<187>

3453389293365237515078850846910319824222513<43>

546558541555361419979824736859907679081808710476199151683311585864568247659143825374982685229718740694584427541595096909076248273770953382268619<144>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3105926848
Step 1 took 84049ms
Step 2 took 30169ms
********** Factor found in step 2: 3453389293365237515078850846910319824222513
Found probable prime factor of 43 digits: 3453389293365237515078850846910319824222513

546558541555361419979824736859907679081808710476199151683311585864568247659143825374982685229718740694584427541595096909076248273770953382268619<144>

14484158243700009470879322204090426168500406613729967242716847909589<68>
37734919237926101352551353121630937102676213494165248181178876325662429930271<77>

# using the poly file of Maksym Vozznyy
## Murphy_E = 1.22342422e-11, selected by Maksym Voznyy
## selected by cado-nfs
# n: 546558541555361419979824736859907679081808710476199151683311585864568247659143825374982685229718740694584427541595096909076248273770953382268619
# Y0: -5796985340582969915559114005
# Y1: 112914446726273147887
# c0: -639170902476186546189719271990
# c1: -806617182609759034840977643
# c2: 15644289668867291975373
# c3: 145036956049078276
# c4: -46435248480
# c5: -2503800
# skew: 129763.44603
# type: gnfs
## selected mechanically
# rlim: 23000000
# alim: 23000000
# lpbr: 28
# lpba: 28
# mfbr: 56
# mfba: 56
# rlambda: 2.6
# alambda: 2.6
# with this poly-file the sieving was nearly 10% faster than with the "usual" snfs-poly-file
Tue Apr 10 18:18:07 2018  
Tue Apr 10 18:18:07 2018  
Tue Apr 10 18:18:07 2018  Msieve v. 1.54 (SVN 1018)
Tue Apr 10 18:18:07 2018  random seeds: 71aa5360 0fb9bfa8
Tue Apr 10 18:18:07 2018  factoring 546558541555361419979824736859907679081808710476199151683311585864568247659143825374982685229718740694584427541595096909076248273770953382268619 (144 digits)
Tue Apr 10 18:18:07 2018  searching for 15-digit factors
Tue Apr 10 18:18:08 2018  commencing number field sieve (144-digit input)
Tue Apr 10 18:18:08 2018  R0: -5796985340582969915559114005
Tue Apr 10 18:18:08 2018  R1: 112914446726273147887
Tue Apr 10 18:18:08 2018  A0: -639170902476186546189719271990
Tue Apr 10 18:18:08 2018  A1: -806617182609759034840977643
Tue Apr 10 18:18:08 2018  A2: 15644289668867291975373
Tue Apr 10 18:18:08 2018  A3: 145036956049078276
Tue Apr 10 18:18:08 2018  A4: -46435248480
Tue Apr 10 18:18:08 2018  A5: -2503800
Tue Apr 10 18:18:08 2018  skew 129763.45, size 5.521e-014, alpha -5.639, combined = 1.223e-011 rroots = 3
Tue Apr 10 18:18:08 2018  
Tue Apr 10 18:18:08 2018  commencing relation filtering
Tue Apr 10 18:18:08 2018  estimated available RAM is 130995.6 MB
Tue Apr 10 18:18:08 2018  commencing duplicate removal, pass 1
Tue Apr 10 18:22:19 2018  found 1120132 hash collisions in 25281164 relations
Tue Apr 10 18:22:51 2018  added 122050 free relations
Tue Apr 10 18:22:51 2018  commencing duplicate removal, pass 2
Tue Apr 10 18:23:04 2018  found 0 duplicates and 25403214 unique relations
Tue Apr 10 18:23:04 2018  memory use: 65.3 MB
Tue Apr 10 18:23:04 2018  reading ideals above 720000
Tue Apr 10 18:23:04 2018  commencing singleton removal, initial pass
Tue Apr 10 18:27:22 2018  memory use: 689.0 MB
Tue Apr 10 18:27:22 2018  reading all ideals from disk
Tue Apr 10 18:27:22 2018  memory use: 849.1 MB
Tue Apr 10 18:27:25 2018  keeping 24374558 ideals with weight <= 200, target excess is 138275
Tue Apr 10 18:27:27 2018  commencing in-memory singleton removal
Tue Apr 10 18:27:30 2018  begin with 25403214 relations and 24374558 unique ideals
Tue Apr 10 18:27:54 2018  reduce to 15839408 relations and 13765344 ideals in 13 passes
Tue Apr 10 18:27:54 2018  max relations containing the same ideal: 150
Tue Apr 10 18:28:02 2018  removing 2072082 relations and 1672082 ideals in 400000 cliques
Tue Apr 10 18:28:02 2018  commencing in-memory singleton removal
Tue Apr 10 18:28:04 2018  begin with 13767326 relations and 13765344 unique ideals
Tue Apr 10 18:28:16 2018  reduce to 13566821 relations and 11886497 ideals in 9 passes
Tue Apr 10 18:28:16 2018  max relations containing the same ideal: 138
Tue Apr 10 18:28:23 2018  removing 1597007 relations and 1197007 ideals in 400000 cliques
Tue Apr 10 18:28:23 2018  commencing in-memory singleton removal
Tue Apr 10 18:28:24 2018  begin with 11969814 relations and 11886497 unique ideals
Tue Apr 10 18:28:32 2018  reduce to 11831260 relations and 10546934 ideals in 7 passes
Tue Apr 10 18:28:32 2018  max relations containing the same ideal: 122
Tue Apr 10 18:28:38 2018  removing 1457856 relations and 1057856 ideals in 400000 cliques
Tue Apr 10 18:28:38 2018  commencing in-memory singleton removal
Tue Apr 10 18:28:39 2018  begin with 10373404 relations and 10546934 unique ideals
Tue Apr 10 18:28:47 2018  reduce to 10244542 relations and 9356330 ideals in 7 passes
Tue Apr 10 18:28:47 2018  max relations containing the same ideal: 112
Tue Apr 10 18:28:52 2018  removing 1387461 relations and 987461 ideals in 400000 cliques
Tue Apr 10 18:28:52 2018  commencing in-memory singleton removal
Tue Apr 10 18:28:53 2018  begin with 8857081 relations and 9356330 unique ideals
Tue Apr 10 18:28:59 2018  reduce to 8725142 relations and 8232425 ideals in 7 passes
Tue Apr 10 18:28:59 2018  max relations containing the same ideal: 101
Tue Apr 10 18:29:04 2018  removing 1162863 relations and 830546 ideals in 332317 cliques
Tue Apr 10 18:29:04 2018  commencing in-memory singleton removal
Tue Apr 10 18:29:04 2018  begin with 7562279 relations and 8232425 unique ideals
Tue Apr 10 18:29:09 2018  reduce to 7455861 relations and 7291913 ideals in 7 passes
Tue Apr 10 18:29:09 2018  max relations containing the same ideal: 92
Tue Apr 10 18:29:14 2018  relations with 0 large ideals: 467
Tue Apr 10 18:29:14 2018  relations with 1 large ideals: 1362
Tue Apr 10 18:29:14 2018  relations with 2 large ideals: 21817
Tue Apr 10 18:29:14 2018  relations with 3 large ideals: 157978
Tue Apr 10 18:29:14 2018  relations with 4 large ideals: 621244
Tue Apr 10 18:29:14 2018  relations with 5 large ideals: 1440427
Tue Apr 10 18:29:14 2018  relations with 6 large ideals: 2064629
Tue Apr 10 18:29:14 2018  relations with 7+ large ideals: 3147937
Tue Apr 10 18:29:14 2018  commencing 2-way merge
Tue Apr 10 18:29:19 2018  reduce to 5020338 relation sets and 4856390 unique ideals
Tue Apr 10 18:29:19 2018  commencing full merge
Tue Apr 10 18:30:42 2018  memory use: 565.1 MB
Tue Apr 10 18:30:43 2018  found 2641711 cycles, need 2616590
Tue Apr 10 18:30:43 2018  weight of 2616590 cycles is about 183556055 (70.15/cycle)
Tue Apr 10 18:30:43 2018  distribution of cycle lengths:
Tue Apr 10 18:30:43 2018  1 relations: 246878
Tue Apr 10 18:30:43 2018  2 relations: 313712
Tue Apr 10 18:30:43 2018  3 relations: 332143
Tue Apr 10 18:30:43 2018  4 relations: 312057
Tue Apr 10 18:30:43 2018  5 relations: 291524
Tue Apr 10 18:30:43 2018  6 relations: 253590
Tue Apr 10 18:30:43 2018  7 relations: 218153
Tue Apr 10 18:30:43 2018  8 relations: 178534
Tue Apr 10 18:30:43 2018  9 relations: 138674
Tue Apr 10 18:30:43 2018  10+ relations: 331325
Tue Apr 10 18:30:43 2018  heaviest cycle: 18 relations
Tue Apr 10 18:30:43 2018  commencing cycle optimization
Tue Apr 10 18:30:47 2018  start with 14191833 relations
Tue Apr 10 18:31:12 2018  pruned 416745 relations
Tue Apr 10 18:31:12 2018  memory use: 455.4 MB
Tue Apr 10 18:31:12 2018  distribution of cycle lengths:
Tue Apr 10 18:31:12 2018  1 relations: 246878
Tue Apr 10 18:31:12 2018  2 relations: 321420
Tue Apr 10 18:31:12 2018  3 relations: 346393
Tue Apr 10 18:31:12 2018  4 relations: 322139
Tue Apr 10 18:31:12 2018  5 relations: 301070
Tue Apr 10 18:31:12 2018  6 relations: 259136
Tue Apr 10 18:31:12 2018  7 relations: 220369
Tue Apr 10 18:31:12 2018  8 relations: 176547
Tue Apr 10 18:31:12 2018  9 relations: 135191
Tue Apr 10 18:31:12 2018  10+ relations: 287447
Tue Apr 10 18:31:12 2018  heaviest cycle: 18 relations
Tue Apr 10 18:31:15 2018  RelProcTime: 787
Tue Apr 10 18:31:15 2018  
Tue Apr 10 18:31:15 2018  commencing linear algebra
Tue Apr 10 18:31:16 2018  read 2616590 cycles
Tue Apr 10 18:31:20 2018  cycles contain 7340112 unique relations
Tue Apr 10 18:32:15 2018  read 7340112 relations
Tue Apr 10 18:32:28 2018  using 20 quadratic characters above 4294917295
Tue Apr 10 18:33:00 2018  building initial matrix
Tue Apr 10 18:34:26 2018  memory use: 1019.5 MB
Tue Apr 10 18:34:28 2018  read 2616590 cycles
Tue Apr 10 18:34:28 2018  matrix is 2616411 x 2616590 (781.8 MB) with weight 244699022 (93.52/col)
Tue Apr 10 18:34:28 2018  sparse part has weight 176173267 (67.33/col)
Tue Apr 10 18:34:50 2018  filtering completed in 2 passes
Tue Apr 10 18:34:51 2018  matrix is 2615799 x 2615978 (781.8 MB) with weight 244677456 (93.53/col)
Tue Apr 10 18:34:51 2018  sparse part has weight 176167590 (67.34/col)
Tue Apr 10 18:34:56 2018  matrix starts at (0, 0)
Tue Apr 10 18:34:56 2018  matrix is 2615799 x 2615978 (781.8 MB) with weight 244677456 (93.53/col)
Tue Apr 10 18:34:56 2018  sparse part has weight 176167590 (67.34/col)
Tue Apr 10 18:34:56 2018  saving the first 48 matrix rows for later
Tue Apr 10 18:34:57 2018  matrix includes 64 packed rows
Tue Apr 10 18:34:58 2018  matrix is 2615751 x 2615978 (752.9 MB) with weight 192696048 (73.66/col)
Tue Apr 10 18:34:58 2018  sparse part has weight 171197996 (65.44/col)
Tue Apr 10 18:34:58 2018  using block size 8192 and superblock size 2457600 for processor cache size 25600 kB
Tue Apr 10 18:35:08 2018  commencing Lanczos iteration (32 threads)
Tue Apr 10 18:35:08 2018  memory use: 600.5 MB
Tue Apr 10 18:35:13 2018  linear algebra at 0.1%, ETA 1h54m
Tue Apr 10 18:35:14 2018  checkpointing every 1460000 dimensions
Tue Apr 10 19:46:55 2018  lanczos halted after 41367 iterations (dim = 2615751)
Tue Apr 10 19:46:56 2018  recovered 32 nontrivial dependencies
Tue Apr 10 19:46:57 2018  BLanczosTime: 4542
Tue Apr 10 19:46:57 2018  
Tue Apr 10 19:46:57 2018  commencing square root phase
Tue Apr 10 19:46:57 2018  cannot handle negative leading algebraic polynomial coefficient
Tue Apr 10 19:46:57 2018  sqrtTime: 0
Tue Apr 10 19:46:57 2018  elapsed time 01:28:50
Tue Apr 10 19:52:09 2018  
Tue Apr 10 19:52:09 2018  
Tue Apr 10 19:52:09 2018  Msieve v. 1.54 (SVN 1018)
Tue Apr 10 19:52:09 2018  random seeds: f29600c8 ea430a59
Tue Apr 10 19:52:09 2018  factoring 546558541555361419979824736859907679081808710476199151683311585864568247659143825374982685229718740694584427541595096909076248273770953382268619 (144 digits)
Tue Apr 10 19:52:09 2018  searching for 15-digit factors
Tue Apr 10 19:52:10 2018  commencing number field sieve (144-digit input)
Tue Apr 10 19:52:10 2018  R0: -5796985340582969915559114005
Tue Apr 10 19:52:10 2018  R1: 112914446726273147887
Tue Apr 10 19:52:10 2018  A0: 639170902476186546189719271990
Tue Apr 10 19:52:10 2018  A1: 806617182609759034840977643
Tue Apr 10 19:52:10 2018  A2: -15644289668867291975373
Tue Apr 10 19:52:10 2018  A3: -145036956049078276
Tue Apr 10 19:52:10 2018  A4: 46435248480
Tue Apr 10 19:52:10 2018  A5: 2503800
Tue Apr 10 19:52:10 2018  skew 129763.45, size 5.521e-014, alpha -5.639, combined = 1.223e-011 rroots = 3
Tue Apr 10 19:52:10 2018  
Tue Apr 10 19:52:10 2018  commencing square root phase
Tue Apr 10 19:52:10 2018  reading relations for dependency 1
Tue Apr 10 19:52:10 2018  read 1308502 cycles
Tue Apr 10 19:52:11 2018  cycles contain 3670606 unique relations
Tue Apr 10 19:52:33 2018  read 3670606 relations
Tue Apr 10 19:52:45 2018  multiplying 3670606 relations
Tue Apr 10 19:55:45 2018  multiply complete, coefficients have about 194.28 million bits
Tue Apr 10 19:55:46 2018  initial square root is modulo 9382273
Tue Apr 10 20:00:39 2018  GCD is 1, no factor found
Tue Apr 10 20:00:39 2018  reading relations for dependency 2
Tue Apr 10 20:00:40 2018  read 1308179 cycles
Tue Apr 10 20:00:42 2018  cycles contain 3669398 unique relations
Tue Apr 10 20:01:14 2018  read 3669398 relations
Tue Apr 10 20:01:33 2018  multiplying 3669398 relations
Tue Apr 10 20:05:34 2018  multiply complete, coefficients have about 194.22 million bits
Tue Apr 10 20:05:35 2018  initial square root is modulo 9331019
Tue Apr 10 20:10:30 2018  sqrtTime: 1100
Tue Apr 10 20:10:30 2018  p68 factor: 14484158243700009470879322204090426168500406613729967242716847909589
Tue Apr 10 20:10:30 2018  p77 factor: 37734919237926101352551353121630937102676213494165248181178876325662429930271
Tue Apr 10 20:10:30 2018  elapsed time 00:18:21

7843910994210650072019040543289445541555625686135025383787578520006533994225641270846536716351992182318866877821674591600392188555174888667354211158489535252733840376397992534481656825650562821<193>

2428441698962203592022208829822054398523828750603723<52>
164613569130128615999412815790700633383220493300977091<54>
19621822562513157799712390534622191639298675314778719978802669608806704084255447948775397<89>

Number: n
N=7843910994210650072019040543289445541555625686135025383787578520006533994225641270846536716351992182318866877821674591600392188555174888667354211158489535252733840376397992534481656825650562821
  ( 193 digits)
SNFS difficulty: 207 digits.
Divisors found:

Thu Jul  1 15:39:36 2021  found factor: 19621822562513157799712390534622191639298675314778719978802669608806704084255447948775397
Thu Jul  1 15:43:06 2021  found factor: 19621822562513157799712390534622191639298675314778719978802669608806704084255447948775397
Thu Jul  1 15:46:35 2021  found factor: 19621822562513157799712390534622191639298675314778719978802669608806704084255447948775397
Thu Jul  1 16:00:33 2021  p52 factor: 2428441698962203592022208829822054398523828750603723
Thu Jul  1 16:00:33 2021  p54 factor: 164613569130128615999412815790700633383220493300977091
Thu Jul  1 16:00:33 2021  p89 factor: 19621822562513157799712390534622191639298675314778719978802669608806704084255447948775397
Thu Jul  1 16:00:33 2021  elapsed time 02:45:03 (Msieve 1.54 - dependency 7)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 83x10^206+7 = 92(205)3
#
n: 7843910994210650072019040543289445541555625686135025383787578520006533994225641270846536716351992182318866877821674591600392188555174888667354211158489535252733840376397992534481656825650562821
m: 100000000000000000000000000000000000000000
deg: 5
c5: 830
c0: 7
skew: 0.38
# Murphy_E = 6.225e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 51600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9318689 hash collisions in 60283781 relations (53049761 unique)
Msieve: matrix is 2524250 x 2524477 (880.9 MB)

Sieving start time : 2021/06/30 16:32:24
Sieving end time  : 2021/07/01 13:14:15

Total sieving time: 20hrs 41min 51secs.

Total relation processing time: 2hrs 4min 27sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 24min 27sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,20000000,20000000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117292] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239972K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2736K init, 4964K bss, 487264K reserved, 0K cma-reserved)
[    0.153499] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.03 BogoMIPS (lpj=12798064)
[    0.152047] smpboot: Total of 16 processors activated (102384.51 BogoMIPS)

69615686143495431080488560943127732124193229838499698588574074640418509641038684667324406494170235209780586744497910154553282794202791284920791441182681820951410126213961110895758299061873860207629<197>

2355134640554900665721663946691<31>

29559110950486066790611731539296596347170106930431923461851156924793143577419280294575164591028249646005240543798050549630155066465030012877823245018525207335490625519<167>

Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=1567213724
Step 1 took 6022ms
Step 2 took 4111ms
********** Factor found in step 2: 2355134640554900665721663946691
Found probable prime factor of 31 digits: 2355134640554900665721663946691
Composite cofactor 

29559110950486066790611731539296596347170106930431923461851156924793143577419280294575164591028249646005240543798050549630155066465030012877823245018525207335490625519<167>

919332478314583946253965772077359052679165698779817061902227997202918591997<75>
32152797434804987810369069446115680920401909838535750504096976441104494110581894229389652827<92>

Number: n
N=29559110950486066790611731539296596347170106930431923461851156924793143577419280294575164591028249646005240543798050549630155066465030012877823245018525207335490625519  ( 167 digits)
SNFS difficulty: 208 digits.
Divisors found:

Sat Oct 12 11:07:05 2024  prp75 factor: 919332478314583946253965772077359052679165698779817061902227997202918591997
Sat Oct 12 11:07:05 2024  prp92 factor: 32152797434804987810369069446115680920401909838535750504096976441104494110581894229389652827
Sat Oct 12 11:07:05 2024  elapsed time 04:05:18 (Msieve 1.44 - dependency 3)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.140).
Factorization parameters were as follows:
#
# N = 83x10^207+7 = 92(206)3
#
n: 29559110950486066790611731539296596347170106930431923461851156924793143577419280294575164591028249646005240543798050549630155066465030012877823245018525207335490625519
m: 100000000000000000000000000000000000000000
deg: 5
c5: 8300
c0: 7
skew: 0.24
# Murphy_E = 4.829e-12
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 27
lpba: 27
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
q0:       50000
qintsize: 50000
Factor base limits: 21000000/21000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 57/57
Sieved  special-q in [50000, 74050000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8651570 hash collisions in 27745627 relations (16903844 unique)
Msieve: matrix is 2704716 x 2704941 (761.3 MB)

Sieving start time: 2024/10/10 16:14:03
Sieving end time  : 2024/10/12 06:55:33

Total sieving time: 38hrs 41min 30secs.

Total relation processing time: 3hrs 48min 40sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 10min 36sec.

Prototype def-par.txt line would be:
snfs,208,5,0,0,0,0,0,0,0,0,21000000,21000000,27,27,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

56120727075687437178004937772394626824282858602463505810456097781786509578331652066521541772318482314735988423892738875297361644843738282505241363854576993889690000124345090417669<179>

922222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223<210>

44818303409121073177773172034528071479837474471193475378600256743855665586277016438589<86>
20576910593954761681636186506519850931791980031135779130294644173655351719337396884038815041725174612362575450532893986398907<125>

Number: 92223_209
N=922222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223
  ( 210 digits)
SNFS difficulty: 211 digits.
Divisors found:
 r1=44818303409121073177773172034528071479837474471193475378600256743855665586277016438589
 r2=20576910593954761681636186506519850931791980031135779130294644173655351719337396884038815041725174612362575450532893986398907
Version: 
Total time: 612.69 hours.
Scaled time: 3212.94 units (timescale=5.244).
Factorization parameters were as follows:
n: 922222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223
m: 100000000000000000000000000000000000
deg: 6
c6: 83
c0: 70
skew: 0.97
# Murphy_E = 3.622e-12
type: snfs
lss: 1
rlim: 30000000
alim: 30000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 30000000/30000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved rational special-q in [15000000, 33800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 44249753
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 4758558 x 4758804
Total sieving time: 547.95 hours.
Total relation processing time: 13.24 hours.
Matrix solve time: 50.45 hours.
Time per square root: 1.04 hours.
Prototype def-par.txt line would be:
snfs,211,6,0,0,0,0,0,0,0,0,30000000,30000000,29,29,57,57,2.6,2.6,100000
total time: 612.69 hours.
 --------- CPU info (if available) ----------

GGNFS / Msieve v1.39

Core i7-4930K

3935550881692527436177125701656056715252925535317020071465739989747071154480487821448842015719974676602141959334502927819519302293797964045233838040594871617459455541362432699974112030871<187>

3363057172325920492698633734609<31>

1170230144785396306910561152508807666410413974795805988494392905283358157438181586432474213250336132692740230109515468619672196407238187743853735088562783719<157>

Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=2416093582
Step 1 took 5225ms
Step 2 took 86ms
********** Factor found in step 2: 3363057172325920492698633734609
Found probable prime factor of 31 digits: 3363057172325920492698633734609
Composite cofactor

85947427381465801772010319670912561276207146090759618092017344718414912925454562556712674938497504431363566017571404022939346473679179327162489902366622918995222236040439844843030626092774135977883823<200>

322482489630539345222664100113895159625304419142956764596227081932442101<72>
266518121588349685231181441937988962097865625344502799299580395753880764077070533445459286417596361151494211454673988547964165523<129>

Number: n
N=85947427381465801772010319670912561276207146090759618092017344718414912925454562556712674938497504431363566017571404022939346473679179327162489902366622918995222236040439844843030626092774135977883823  ( 200 digits)
SNFS difficulty: 212 digits.
Divisors found:

Thu Oct 15 02:26:09 2020  prp72 factor: 322482489630539345222664100113895159625304419142956764596227081932442101
Thu Oct 15 02:26:09 2020  prp129 factor: 266518121588349685231181441937988962097865625344502799299580395753880764077070533445459286417596361151494211454673988547964165523
Thu Oct 15 02:26:09 2020  elapsed time 05:15:13 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.095).
Factorization parameters were as follows:
#
# N = 83x10^211+7 = 92(210)3
#
n: 85947427381465801772010319670912561276207146090759618092017344718414912925454562556712674938497504431363566017571404022939346473679179327162489902366622918995222236040439844843030626092774135977883823
m: 100000000000000000000000000000000000
deg: 6
c6: 830
c0: 7
skew: 0.45
# Murphy_E = 4.515e-12
type: snfs
lss: 1
rlim: 25000000
alim: 25000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 25000000/25000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 38100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10307225 hash collisions in 64371583 relations (56746760 unique)
Msieve: matrix is 3000903 x 3001128 (861.8 MB)

Sieving start time: 2020/10/14 06:49:33
Sieving end time  : 2020/10/14 21:09:53

Total sieving time: 14hrs 20min 20secs.

Total relation processing time: 4hrs 50min 59sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 42sec.

Prototype def-par.txt line would be:
snfs,212,6,0,0,0,0,0,0,0,0,25000000,25000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.113540] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16228504K/16703460K available (14339K kernel code, 2398K rwdata, 4956K rodata, 2716K init, 4988K bss, 474956K reserved, 0K cma-reserved)
[    0.148670] x86/mm: Memory block size: 128MB
[    0.000008] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.64 BogoMIPS (lpj=11977280)
[    0.146244] smpboot: Total of 16 processors activated (95818.24 BogoMIPS)

24318089351510360931455366246261690727350507336432084913236382619282594155562096828602083511195985344794278911063734199251858961914265380596014630219616752830198569007012923854445640747946024588477206196323<206>

25736548139763206442936772467825813368771345784255584788000687752399160427138484077067588175250496887<101>
944885429835040174637935035306872498045068154907021182422729145341392782513829028406080490313523141971829<105>

Number: n
N=24318089351510360931455366246261690727350507336432084913236382619282594155562096828602083511195985344794278911063734199251858961914265380596014630219616752830198569007012923854445640747946024588477206196323
  ( 206 digits)
SNFS difficulty: 213 digits.
Divisors found:

Mon Jan 20 19:34:50 2020  p101 factor: 25736548139763206442936772467825813368771345784255584788000687752399160427138484077067588175250496887
Mon Jan 20 19:34:50 2020  p105 factor: 944885429835040174637935035306872498045068154907021182422729145341392782513829028406080490313523141971829
Mon Jan 20 19:34:50 2020  elapsed time 05:54:58 (Msieve 1.54 - dependency 4)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.131).
Factorization parameters were as follows:
#
# N = 83x10^212+7 = 92(211)3
#
n: 24318089351510360931455366246261690727350507336432084913236382619282594155562096828602083511195985344794278911063734199251858961914265380596014630219616752830198569007012923854445640747946024588477206196323
m: 100000000000000000000000000000000000
deg: 6
c6: 8300
c0: 7
skew: 0.31
# Murphy_E = 3.112e-12
type: snfs
lss: 1
rlim: 26000000
alim: 26000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 26000000/26000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 81800000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9994946 hash collisions in 60328276 relations (52645078 unique)
Msieve: matrix is 3500140 x 3500365 (1225.5 MB)

Sieving start time: 2020/01/18 23:17:18
Sieving end time  : 2020/01/20 13:38:24

Total sieving time: 38hrs 21min 6secs.

Total relation processing time: 5hrs 3min 58sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 32min 26sec.

Prototype def-par.txt line would be:
snfs,213,6,0,0,0,0,0,0,0,0,26000000,26000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149937] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283572K/16703460K available (12300K kernel code, 2481K rwdata, 4264K rodata, 2428K init, 2388K bss, 419888K reserved, 0K cma-reserved)
[    0.184567] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.57 BogoMIPS (lpj=11977148)
[    0.182215] smpboot: Total of 16 processors activated (95817.18 BogoMIPS)

2001665248747377461191108477229613926313124579778820514060008703813115092732364113966438373087902023984558438735441633698120298254048893482264390376369333606554357273089002057048536313036817033<193>

322676795215018113867562965668382187201444980430614188489595322567182333099863879389058146410737014946635835767462150944880674353401507520324108389507562424440794228235741306985550858214327<189>

7255707750581986437945778008561735145686743996776018050102847471910357916195701299121360016854222341110927532963204819887982362510894488896581687467819187762855496897966391212026641560169486339600341630191437041<211>

100425146477062779779004848743<30>
3389730404545266705936608578555367<34>
21314352747275220932083100090844224524196192843095117466450555167437233667168961089503005472296630326690865974929001171984998221983271408740195362561<149>

Run 9 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2652562094
Step 1 took 18812ms
Step 2 took 6518ms
********** Factor found in step 2: 100425146477062779779004848743
Found probable prime factor of 30 digits: 100425146477062779779004848743
Composite cofactor 72249909560641751460976966507746936864220284093180846984349960729375106104510690990867773791303741488419998600671720022381900703942196166073825739443372212520311473933268726177414887 has 182 digits
--
Run 147 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=342702127
Step 1 took 16113ms
Step 2 took 5504ms
********** Factor found in step 2: 3389730404545266705936608578555367
Found probable prime factor of 34 digits: 3389730404545266705936608578555367
Probable prime cofactor 21314352747275220932083100090844224524196192843095117466450555167437233667168961089503005472296630326690865974929001171984998221983271408740195362561 has 149 digits

GMP-ECM 6.4.4

Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

12901088328413155942214943135412208317080176952781276314020679010717014036127667448407963617599668305388192719510820432563056871360919871938321748862873952396593333859160099176038779297785506644304987<200>

7909410394646439931014552291055651<34>

1631106199413470940851610892879033271300213530514899652241651926705003162659328326272541572370672720143676526101552427374317500998010412075741196974817926619871160937<166>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3461371121
Step 1 took 17378ms
Step 2 took 6799ms
********** Factor found in step 2: 7909410394646439931014552291055651
Found probable prime factor of 34 digits: 7909410394646439931014552291055651
Composite cofactor

11352345904472650136324516299374227971912127836173345832457108886876927020972062029527280819576780517589283261684740359712096876718512230201784380236942306671180472271876315800059712670100378687797<197>

13866911541026101436683697066477<32>
818664334223669352607401635428368341492559948688558809213158893442643634918757212759119210158285923944437704879972768722717259038888201886995800955693702326081805161<165>

Run 89 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2078554457
Step 1 took 18841ms
Step 2 took 6163ms
********** Factor found in step 2: 13866911541026101436683697066477
Found probable prime factor of 32 digits: 13866911541026101436683697066477
Probable prime cofactor 818664334223669352607401635428368341492559948688558809213158893442643634918757212759119210158285923944437704879972768722717259038888201886995800955693702326081805161 has 165 digits

GMP-ECM 6.4.4

Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

1074541737078279588768993334345732897664917235040987294126541918844134872853877988763400538798530285829396691421260106032671506247295035371195264559296125966326969068604052472332815870282357202789199638591480334009<214>

23210796331431873780606240688124842357<38>

46294910425935873969843294303450228535478545161921526992005943147059578529800627939784461710393812225861532017919524464627928064567021982351722797858962465763252556193818432437<176>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1121747650
Step 1 took 30715ms
********** Factor found in step 1: 23210796331431873780606240688124842357
Found probable prime factor of 38 digits: 23210796331431873780606240688124842357

104758930752974557768688360846010827567283675305968655953405477247366449352730477165999903851841892131692208743212868475409452364067689987392315580828763263667465238799501195214558410165612896325373791876453087<210>

56266440585788203723203555501391<32>
1861836818933853145493177525809393429062709504846738618318935034506937605196195868051768687377909900157921937234023308597635087457664289644828644025061888296545083636268443071857<178>

Run 59 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1076366604
Step 1 took 18791ms
Step 2 took 6285ms
********** Factor found in step 2: 56266440585788203723203555501391
Found probable prime factor of 32 digits: 56266440585788203723203555501391
Probable prime cofactor 1861836818933853145493177525809393429062709504846738618318935034506937605196195868051768687377909900157921937234023308597635087457664289644828644025061888296545083636268443071857 has 178 digits

GMP-ECM 6.4.4

Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

12557128433723241339462196989659101510586219071278580993899221833866326979152428631314964597276783150045647033616419656456451904370430979299802281019531409829120776930516253<173>

49187146782147429465710805841281535173462447249015173118143296671891877051721<77>
255292881478558856212414020098185314340760317179948924715055773294731986035943981741094036522293<96>

Number: 92223_220
N = 12557128433723241339462196989659101510586219071278580993899221833866326979152428631314964597276783150045647033616419656456451904370430979299802281019531409829120776930516253 (173 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=49187146782147429465710805841281535173462447249015173118143296671891877051721 (pp77)
r2=255292881478558856212414020098185314340760317179948924715055773294731986035943981741094036522293 (pp96)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 70.47 hours.
Factorization parameters were as follows:
n: 12557128433723241339462196989659101510586219071278580993899221833866326979152428631314964597276783150045647033616419656456451904370430979299802281019531409829120776930516253
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 83
c0: 7
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/28
Relations: 7403684 relations
Pruned matrix : 6536218 x 6536443
Total pre-computation time approximately 300 CPU-days.
Pre-computation saved approximately 8 G relations.
Total batch smoothness checking time: 33.69 hours.
Total relation processing time: 0.38 hours.
Matrix solve time: 35.81 hours.
time per square root: 0.59 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000
total time: 70.47 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

7942923774168268326095908378017293383836688314644277111334663294569801051696074065995948841200047296427704859313661468614811986834848774977233177622345384679371350987792102815224714640039<187>

5869529009085025308114998228609077<34>

1353247213170593951627970553293230987952846278272449972374000853625737270336280703540422834564277341328034202778723342421397874810584994635702171835894507<154>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=997491191
Step 1 took 16149ms
Step 2 took 6288ms
********** Factor found in step 2: 5869529009085025308114998228609077
Found probable prime factor of 34 digits: 5869529009085025308114998228609077
Composite cofactor 

1353247213170593951627970553293230987952846278272449972374000853625737270336280703540422834564277341328034202778723342421397874810584994635702171835894507<154>

64266657213851656252355640379026591239652851998312415195663783<62>
21056754339463653148080994007939450319459548247743905033390238012516725703210760099853625629<92>

p62 factor: 64266657213851656252355640379026591239652851998312415195663783
p92 factor: 21056754339463653148080994007939450319459548247743905033390238012516725703210760099853625629

Complete log at: https://pastebin.com/GHUZ9Cr7

GGNFS + Msieve

1657339083005550851889902413959883506250109438094157408818643747274159963772119726557974207693220257890615668814735386912022806690767927488557934549714129355484850481664902094430611710255832942576062969906387799447<214>

4944444823358399185052697268655451894889707311561822308892001793147658246561151525142705199159168679453727156781220000404481667007869659447710830200886053638599536566010098190339637262430734264850923336645664524186165257<220>

22266629450829713747995945155251058469061980030971656037331239010296461628578898757644186169234323099855046195540518128408401711280675277454504703788786039591495544615536002561927763755023937738569902421431117487<212>

3267707529939878118446130266570131499637599423938595444815703263809902886094408401236689505186403029597949926909650248995376784394688676054829770154176740457801887947552900444762553803985579567300405077623801824168201111256780001<229>

205547997205350853329459497656564344784465065966371611604660290886024555906588132853224563403621736919131954292907939362744960994158513219668551044492894499244942463741455881287043184952525425239900190795922063<210>

8568239642486668342634607626207569<34>

23989524777775340269278117254853183295796669953734511283034688336995461031003716896045420993011872799863385129878986257892241934168612892593552922406665285131949581759926863327<176>

Run 263 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=224872059
Step 1 took 19352ms
Step 2 took 6301ms
********** Factor found in step 2: 8568239642486668342634607626207569
Found probable prime factor of 34 digits: 8568239642486668342634607626207569
Composite cofactor 23989524777775340269278117254853183295796669953734511283034688336995461031003716896045420993011872799863385129878986257892241934168612892593552922406665285131949581759926863327 has 176 digits

GMP-ECM 6.4.4

Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

159071281355965595156758230268907218710162303275585259048967155169003564670003779653030319417079750254697696910637857738213266632127710277402881826155523576765542888754571062677618284836536603539004549<201>

8670933509294755758956914187906673973309830860530516599946513294766512920431283878910643612615918429225785712097324058174038142193341557936071468781602621034339731647707233336934662230939487936743012919955738619314921<217>

7287131689268627466990390907204874897947232562486495759723426135394380006007054821442885437246777661095873982139152432835253492533455616670885301337381817868942429113548524966020456120009752464916192278783533646047859247032096127627<232>

28788299511979172017662908539744403083513214134800252779637038724681232012391974435095557529188404627613062637315736005799050954222094318518505987956484163732482330395932412421219407392599539112056979550668486927049950015337<224>

635911070395380527772362723443<30>
45270951949428902288397709546726578792488607441109748358735943626521219526632915356699636888677279100097707609218138511266966362484521441010843216013838910146499141137414959256846808191261185459<194>

Run 29 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1574996317
Step 1 took 21873ms
Step 2 took 6981ms
********** Factor found in step 2: 635911070395380527772362723443
Found probable prime factor of 30 digits: 635911070395380527772362723443
Probable prime cofactor 45270951949428902288397709546726578792488607441109748358735943626521219526632915356699636888677279100097707609218138511266966362484521441010843216013838910146499141137414959256846808191261185459 has 194 digits

GMP-ECM 6.4.4

Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

1305838983984473884500096003114723456907761065933188164092101337082658423317832612719349280611107944032975450224990102274619390522230550404123050771146325845716595947640299302653058254141<187>

38119382557856496599108098302080032332584723772257356351929162246196098963428356227926351515819543761510446088629860795363213418022660365486802886050602332171381069822767834589435879065110661026835126781392230075733568479404051677023197711<239>

308369194129999494807424945451813027119924664040174201403550007569836346382377679411530010275080128409953396130124997783639487171702140534205396427844088346547695484241526501761981181036251630575863097649594377805735496515488639893<231>