67862660571324533702443114986666233918366106026626913499884976055568855064095612384649480248013973<98>

11234321827921433174867669812024514743374959<44>
6040654844216834979500238535767959586811972858326905147<55>

Number: 72223_122
N=67862660571324533702443114986666233918366106026626913499884976055568855064095612384649480248013973
  ( 98 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=11234321827921433174867669812024514743374959 (pp44)
 r2=6040654844216834979500238535767959586811972858326905147 (pp55)
Version: GGNFS-0.77.1-20060513-k8
Total time: 2.78 hours.
Scaled time: 5.49 units (timescale=1.977).
Factorization parameters were as follows:
name: 72223_122
n: 67862660571324533702443114986666233918366106026626913499884976055568855064095612384649480248013973
m: 5000000000000000000000000
deg: 5
c5: 52
c0: 175
skew: 1.27
type: snfs
lss: 1
rlim: 850000
alim: 850000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 850000/850000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [425000, 675001)
Primes: RFBsize:67617, AFBsize:67460, largePrimes:2468450 encountered
Relations: rels:2389203, finalFF:214856
Max relations in full relation-set: 28
Initial matrix: 135144 x 214856 with sparse part having weight 16202448.
Pruned matrix : 112573 x 113312 with weight 5963078.
Total sieving time: 2.61 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,125,5,0,0,0,0,0,0,0,0,850000,850000,26,26,46,46,2.3,2.3,50000
total time: 2.78 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

537624798765651370372182957215632388524131277277257415040186469316725900027661524584873859219275425292106297115927<114>

31760089599647095470964140303933168837398685341<47>
16927685203118105408193075223017693529147950521552388939439515578947<68>

SNFS difficulty: 125 digits.
Divisors found:
 r1=31760089599647095470964140303933168837398685341 (pp47)
 r2=16927685203118105408193075223017693529147950521552388939439515578947 (pp68)
Version: Msieve v. 1.44 SVN130
Total time: 1.07 hours.
Scaled time: 2.57 units (timescale=2.400).
Factorization parameters were as follows:
n: 537624798765651370372182957215632388524131277277257415040186469316725900027661524584873859219275425292106297115927
m: 5000000000000000000000000
deg: 5
c5: 104
c0: 35
skew: 0.80
type: snfs
lss: 1
rlim: 860000
alim: 860000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 860000/860000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [537500, 837501)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 114687 x 114917
Total sieving time: 0.98 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,125.000,5,0,0,0,0,0,0,0,0,860000,860000,26,26,46,46,2.3,2.3,50000
total time: 1.07 hours.

25018553648044706659806696982403245276792059272573860134171871212230208677668993529533362509883455693874247<107>

2779713843164198342229108373215405036999849001718309<52>
9000406178344471728392191196472373929710255397699359483<55>

SNFS difficulty: 126 digits.
Divisors found:
 r1=2779713843164198342229108373215405036999849001718309 (pp52)
 r2=9000406178344471728392191196472373929710255397699359483 (pp55)
Version: Msieve v. 1.44 SVN130
Total time: 1.10 hours.
Scaled time: 2.64 units (timescale=2.400).
Factorization parameters were as follows:
n: 25018553648044706659806696982403245276792059272573860134171871212230208677668993529533362509883455693874247
m: 10000000000000000000000000
deg: 5
c5: 13
c0: 14
skew: 1.01
type: snfs
lss: 1
rlim: 890000
alim: 890000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 890000/890000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [556250, 856251)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 121199 x 121429
Total sieving time: 1.01 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,126.000,5,0,0,0,0,0,0,0,0,890000,890000,26,26,46,46,2.3,2.3,50000
total time: 1.10 hours.

17348033114652005022752627590558703019224037688666980158306193742390894985894433406088781202803253598064633340230060739<119>

85683277507409068791600540542053437197885827<44>
202466964608723252374887795280215191067174586508857815139998546556449041857<75>

Number: 72223_129
N=17348033114652005022752627590558703019224037688666980158306193742390894985894433406088781202803253598064633340230060739
  ( 119 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=85683277507409068791600540542053437197885827 (pp44)
 r2=202466964608723252374887795280215191067174586508857815139998546556449041857 (pp75)
Version: Msieve-1.40
Total time: 2.64 hours.
Scaled time: 2.63 units (timescale=0.995).
Factorization parameters were as follows:
n: 17348033114652005022752627590558703019224037688666980158306193742390894985894433406088781202803253598064633340230060739
m: 100000000000000000000000000
deg: 5
c5: 13
c0: 14
skew: 1.01
type: snfs
lss: 1
rlim: 1070000
alim: 1070000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1070000/1070000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [535000, 935001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 145078 x 145303
Total sieving time: 2.52 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,131.000,5,0,0,0,0,0,0,0,0,1070000,1070000,26,26,47,47,2.3,2.3,50000
total time: 2.64 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

72222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223<131>

46485863897376296550853545500186122961951356602030151<53>
1553638378791073916029398963967193954361536667650255332339812815429978361841273<79>

Number: s131
N=72222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223
  ( 131 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=46485863897376296550853545500186122961951356602030151 (pp53)
 r2=1553638378791073916029398963967193954361536667650255332339812815429978361841273 (pp79)
Version: Msieve-1.40
Total time: 2.03 hours.
Scaled time: 3.81 units (timescale=1.877).
Factorization parameters were as follows:
n: 72222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223
m: 100000000000000000000000000
deg: 5
c5: 65
c0: 7
skew: 0.64
type: snfs
lss: 1
rlim: 1100000
alim: 1100000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1100000/1100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [550000, 950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 157737 x 157962
Total sieving time: 1.93 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,131.000,5,0,0,0,0,0,0,0,0,1100000,1100000,26,26,47,47,2.3,2.3,50000
total time: 2.03 hours.
 --------- CPU info (if available) ----------

4647920156400974489982688051665613882176378983480078042769794813814236946086858104526358893394750640417706768879<112>

190061403203275865525088244967<30>
1244841026681448907106941991207<31>
19644945785038727533820766473773169516200342274306591<53>

GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 4647920156400974489982688051665613882176378983480078042769794813814236946086858104526358893394750640417706768879 (112 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=6061696595
Step 1 took 3495ms
Step 2 took 3822ms
********** Factor found in step 2: 190061403203275865525088244967
Found probable prime factor of 30 digits: 190061403203275865525088244967
Composite cofactor 24454834480149011868325660087316764591350057434391682905368504067395322836744145337 has 83 digits

10/27/09 21:28:44 v1.10 @ 조영욱-PC, starting SIQS on c83: 24454834480149011868325660087316764591350057434391682905368504067395322836744145337
10/27/09 21:28:44 v1.10 @ 조영욱-PC, random seeds: 2880975533, 481832920
10/27/09 21:28:45 v1.10 @ 조영욱-PC, ==== sieve params ====
10/27/09 21:28:45 v1.10 @ 조영욱-PC, n = 83 digits, 274 bits
10/27/09 21:28:45 v1.10 @ 조영욱-PC, factor base: 49771 primes (max prime = 1295131)
10/27/09 21:28:45 v1.10 @ 조영욱-PC, single large prime cutoff: 123037445 (95 * pmax)
10/27/09 21:28:45 v1.10 @ 조영욱-PC, double large prime range from 42 to 49 bits
10/27/09 21:28:45 v1.10 @ 조영욱-PC, double large prime cutoff: 364810346638489
10/27/09 21:28:45 v1.10 @ 조영욱-PC, using 14 large prime slices of factor base
10/27/09 21:28:45 v1.10 @ 조영욱-PC, buckets hold 1024 elements
10/27/09 21:28:45 v1.10 @ 조영욱-PC, sieve interval: 7 blocks of size 65536
10/27/09 21:28:45 v1.10 @ 조영욱-PC, polynomial A has ~ 10 factors
10/27/09 21:28:45 v1.10 @ 조영욱-PC, using multiplier of 1
10/27/09 21:28:45 v1.10 @ 조영욱-PC, using small prime variation correction of 18 bits
10/27/09 21:28:45 v1.10 @ 조영욱-PC, using SSE2 for trial division and x128 sieve scanning
10/27/09 21:28:45 v1.10 @ 조영욱-PC, trial factoring cutoff at 94 bits
10/27/09 21:28:45 v1.10 @ 조영욱-PC, ==== sieving started ====
10/27/09 21:40:57 v1.10 @ 조영욱-PC, sieve time = 340.0500, relation time = 136.3560, poly_time = 255.6500
10/27/09 21:40:57 v1.10 @ 조영욱-PC, 49848 relations found: 21802 full + 28046 from 290299 partial, using 172944 polys (244 A polys)
10/27/09 21:40:57 v1.10 @ 조영욱-PC, on average, sieving found 1.80 rels/poly and 426.07 rels/sec
10/27/09 21:40:57 v1.10 @ 조영욱-PC, trial division touched 6239436 sieve locations out of 158676811776
10/27/09 21:40:57 v1.10 @ 조영욱-PC, ==== post processing stage (msieve-1.38) ====
10/27/09 21:40:57 v1.10 @ 조영욱-PC, begin with 312101 relations
10/27/09 21:40:57 v1.10 @ 조영욱-PC, reduce to 79841 relations in 7 passes
10/27/09 21:40:58 v1.10 @ 조영욱-PC, recovered 79841 relations
10/27/09 21:40:58 v1.10 @ 조영욱-PC, recovered 63984 polynomials
10/27/09 21:40:58 v1.10 @ 조영욱-PC, attempting to build 49848 cycles
10/27/09 21:40:58 v1.10 @ 조영욱-PC, found 49848 cycles in 3 passes
10/27/09 21:40:58 v1.10 @ 조영욱-PC, distribution of cycle lengths:
10/27/09 21:40:58 v1.10 @ 조영욱-PC,    length 1 : 21802
10/27/09 21:40:58 v1.10 @ 조영욱-PC,    length 2 : 20836
10/27/09 21:40:58 v1.10 @ 조영욱-PC,    length 3 : 5377
10/27/09 21:40:58 v1.10 @ 조영욱-PC,    length 4 : 1388
10/27/09 21:40:58 v1.10 @ 조영욱-PC,    length 5 : 329
10/27/09 21:40:58 v1.10 @ 조영욱-PC,    length 6 : 97
10/27/09 21:40:58 v1.10 @ 조영욱-PC,    length 7 : 16
10/27/09 21:40:58 v1.10 @ 조영욱-PC,    length 9+: 3
10/27/09 21:40:58 v1.10 @ 조영욱-PC, largest cycle: 9 relations
10/27/09 21:40:58 v1.10 @ 조영욱-PC, matrix is 49771 x 49848 (8.2 MB) with weight 1749155 (35.09/col)
10/27/09 21:40:58 v1.10 @ 조영욱-PC, sparse part has weight 1749155 (35.09/col)
10/27/09 21:40:58 v1.10 @ 조영욱-PC, filtering completed in 3 passes
10/27/09 21:40:58 v1.10 @ 조영욱-PC, matrix is 38980 x 39042 (6.8 MB) with weight 1458401 (37.35/col)
10/27/09 21:40:58 v1.10 @ 조영욱-PC, sparse part has weight 1458401 (37.35/col)
10/27/09 21:40:58 v1.10 @ 조영욱-PC, saving the first 48 matrix rows for later
10/27/09 21:40:58 v1.10 @ 조영욱-PC, matrix is 38932 x 39042 (4.7 MB) with weight 1118471 (28.65/col)
10/27/09 21:40:58 v1.10 @ 조영욱-PC, sparse part has weight 846197 (21.67/col)
10/27/09 21:40:58 v1.10 @ 조영욱-PC, matrix includes 64 packed rows
10/27/09 21:40:58 v1.10 @ 조영욱-PC, using block size 15616 for processor cache size 4096 kB
10/27/09 21:40:58 v1.10 @ 조영욱-PC, commencing Lanczos iteration
10/27/09 21:40:58 v1.10 @ 조영욱-PC, memory use: 4.6 MB
10/27/09 21:41:03 v1.10 @ 조영욱-PC, lanczos halted after 617 iterations (dim = 38926)
10/27/09 21:41:03 v1.10 @ 조영욱-PC, recovered 13 nontrivial dependencies
10/27/09 21:41:03 v1.10 @ 조영욱-PC, prp31 = 1244841026681448907106941991207
10/27/09 21:41:03 v1.10 @ 조영욱-PC, prp53 = 19644945785038727533820766473773169516200342274306591
10/27/09 21:41:03 v1.10 @ 조영욱-PC, Lanczos elapsed time = 6.0210 seconds.
10/27/09 21:41:03 v1.10 @ 조영욱-PC, Sqrt elapsed time = 0.5150 seconds.
10/27/09 21:41:03 v1.10 @ 조영욱-PC, SIQS elapsed time = 739.0400 seconds.
10/27/09 21:41:03 v1.10 @ 조영욱-PC, 
10/27/09 21:41:03 v1.10 @ 조영욱-PC, 

GMP-ECM v6.2.3 / YAFU v1.10

Core 2 Quad Q6600

24149411583252065135541995261870948312801057540026010846855723972400408737150851077914404918027851899317<104>

241431719926832113054176853658594117687436004218661<51>
100025844120941294664361239378525121327867816498537297<54>

Number: 72223_138
N=24149411583252065135541995261870948312801057540026010846855723972400408737150851077914404918027851899317
  ( 104 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=241431719926832113054176853658594117687436004218661 (pp51)
 r2=100025844120941294664361239378525121327867816498537297 (pp54)
Version: Msieve-1.40
Total time: 5.45 hours.
Scaled time: 5.30 units (timescale=0.971).
Factorization parameters were as follows:
n: 24149411583252065135541995261870948312801057540026010846855723972400408737150851077914404918027851899317
m: 5000000000000000000000000000
deg: 5
c5: 104
c0: 35
skew: 0.80
type: snfs
lss: 1
rlim: 1540000
alim: 1540000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1540000/1540000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [770000, 1570001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 229296 x 229521
Total sieving time: 5.25 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,140.000,5,0,0,0,0,0,0,0,0,1540000,1540000,26,26,48,48,2.3,2.3,100000
total time: 5.45 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

427659717908154394995200702825198766565175314645691050004375381571272656253058536994853204719480586679929186157431<114>

22106601597297777135014061131159201<35>
19345339717907152871106612963136797155474171896145552677486729052119091953982231<80>

GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 427659717908154394995200702825198766565175314645691050004375381571272656253058536994853204719480586679929186157431 (114 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=534140875
Step 1 took 3510ms
Step 2 took 3729ms
********** Factor found in step 2: 22106601597297777135014061131159201
Found probable prime factor of 35 digits: 22106601597297777135014061131159201
Probable prime cofactor 19345339717907152871106612963136797155474171896145552677486729052119091953982231 has 80 digits

Core 2 Quad Q6600

5129681982466832057731092630443713606341165636960782557122762815502036363357349113047653027331489112118869650858670674003273261595067<133>

12049710125367851790960582688070194854908188364815339<53>
425709990455910147905908526532864228292366077716772356573508558892819462447043953<81>

Number: 72223_141
N=5129681982466832057731092630443713606341165636960782557122762815502036363357349113047653027331489112118869650858670674003273261595067
  ( 133 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=12049710125367851790960582688070194854908188364815339 (pp53)
 r2=425709990455910147905908526532864228292366077716772356573508558892819462447043953 (pp81)
Version: Msieve v. 1.43
Total time: 11.54 hours.
Scaled time: 9.10 units (timescale=0.789).
Factorization parameters were as follows:
n: 5129681982466832057731092630443713606341165636960782557122762815502036363357349113047653027331489112118869650858670674003273261595067
m: 20000000000000000000000000000
deg: 5
c5: 325
c0: 112
skew: 0.81
type: snfs
lss: 1
rlim: 1760000
alim: 1760000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1760000/1760000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [880000, 1880001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 304431 x 304677
Total sieving time: 10.67 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.46 hours.
Time per square root: 0.30 hours.
Prototype def-par.txt line would be:
snfs,144.000,5,0,0,0,0,0,0,0,0,1760000,1760000,26,26,49,49,2.3,2.3,100000
total time: 11.54 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

7790122125145315739642133774374093649252747516149522405589712244873500401490909526720118889248432986972518846103141216936923980392861851172713<142>

215020535686146100995565648128067<33>
36229665693495144004165159106176063374327069676193814029155021451148871281621766835872766224697315800096474339<110>

Number: 72223_145
N=7790122125145315739642133774374093649252747516149522405589712244873500401490909526720118889248432986972518846103141216936923980392861851172713
  ( 142 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=215020535686146100995565648128067 (pp33)
 r2=36229665693495144004165159106176063374327069676193814029155021451148871281621766835872766224697315800096474339 (pp110)
Version: Msieve-1.40
Total time: 8.81 hours.
Scaled time: 9.16 units (timescale=1.039).
Factorization parameters were as follows:
n: 7790122125145315739642133774374093649252747516149522405589712244873500401490909526720118889248432986972518846103141216936923980392861851172713
m: 100000000000000000000000000000
deg: 5
c5: 65
c0: 7
skew: 0.64
type: snfs
lss: 1
rlim: 1960000
alim: 1960000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1960000/1960000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [980000, 2180001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 308284 x 308510
Total sieving time: 8.34 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.20 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,146.000,5,0,0,0,0,0,0,0,0,1960000,1960000,26,26,49,49,2.3,2.3,100000
total time: 8.81 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

103027421144396893326993184339831986051672214297035980345538120145823426850530987478205737834839118719289903312727849104453954667934696465366936123<147>

3755550574749161555183061499920779<34>
46814150630339904680428759046932495299316986541<47>
586006004706828862487443318948487124438444839144237964283793539957<66>

Number: 72223_148
N=103027421144396893326993184339831986051672214297035980345538120145823426850530987478205737834839118719289903312727849104453954667934696465366936123
  ( 147 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=3755550574749161555183061499920779 (pp34)
 r2=46814150630339904680428759046932495299316986541 (pp47)
 r3=586006004706828862487443318948487124438444839144237964283793539957 (pp66)
Version: Msieve v. 1.43
Total time: 25.27 hours.
Scaled time: 19.91 units (timescale=0.788).
Factorization parameters were as follows:
n: 103027421144396893326993184339831986051672214297035980345538120145823426850530987478205737834839118719289903312727849104453954667934696465366936123
m: 500000000000000000000000000000
deg: 5
c5: 104
c0: 35
skew: 0.80
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1150000, 1850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 363568 x 363798
Total sieving time: 23.94 hours.
Total relation processing time: 0.33 hours.
Matrix solve time: 0.74 hours.
Time per square root: 0.26 hours.
Prototype def-par.txt line would be:
snfs,150.000,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 25.27 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

80246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580247<149>

105819244784386683109998203139936629<36>
758339503780763218629421606198547022990365677947048506292345087129713241005798463428316768844290881088734441938843<114>

Number: 72223_149
N=80246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580247
  ( 149 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=105819244784386683109998203139936629 (pp36)
 r2=758339503780763218629421606198547022990365677947048506292345087129713241005798463428316768844290881088734441938843 (pp114)
Version: Msieve-1.40
Total time: 17.34 hours.
Scaled time: 34.91 units (timescale=2.013).
Factorization parameters were as follows:
name: 72223_149
n: 80246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580247
m: 1000000000000000000000000000000
deg: 5
c5: 13
c0: 14
skew: 1.01
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1150000, 1850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 373221 x 373469
Total sieving time: 16.65 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.49 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,151.000,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 17.34 hours.
 --------- CPU info (if available) ----------

21171013171707276297284205554612886487286809273598944016623603709651069407896630669000876694960644238838461982364112370634325579<128>

10514619222825497091683354104111810879<38>
2013483581578352610412684711209758302904144260026256812619717594875763736046702067763469301<91>

GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 21171013171707276297284205554612886487286809273598944016623603709651069407896630669000876694960644238838461982364112370634325579 (128 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=6792566349
Step 1 took 4196ms
Step 2 took 5756ms
********** Factor found in step 2: 10514619222825497091683354104111810879
Found probable prime factor of 38 digits: 10514619222825497091683354104111810879
Probable prime cofactor 2013483581578352610412684711209758302904144260026256812619717594875763736046702067763469301 has 91 digits

Core 2 Quad Q6600

19418406852824315665554762157458974239206989197334760372678432542908053342430535858752210495531479837429994703<110>

7392507812931635296203627398671630725771305605141003<52>
2626768526217301127090637292882797495139799918052500317901<58>

N=19418406852824315665554762157458974239206989197334760372678432542908053342430535858752210495531479837429994703
  ( 110 digits)
Divisors found:
 r1=7392507812931635296203627398671630725771305605141003 (pp52)
 r2=2626768526217301127090637292882797495139799918052500317901 (pp58)
Version: Msieve-1.40
Total time: 15.75 hours.
Scaled time: 31.01 units (timescale=1.969).
Factorization parameters were as follows:
name: g110
n: 19418406852824315665554762157458974239206989197334760372678432542908053342430535858752210495531479837429994703
skew: 29767.14
# norm 3.00e+015
c5: 16560
c4: 3825657986
c3: 19567041570883
c2: -2418931829640980736
c1: 30620557498708644779402
c0: -74115411399096749338291340
# alpha -6.43
Y1: 203416736417
Y0: -1032349374499642407141
# Murphy_E 1.04e-009
# M 4165853837495179387505368821618801681724638475605636957434987794044042429718757847059943296685210951731399213
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1600000, 2300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 391563 x 391788
Polynomial selection time: 1.42 hours.
Total sieving time: 13.33 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.44 hours.
Time per square root: 0.50 hours.
Prototype def-par.txt line would be:
gnfs,109,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 15.75 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

11711819333835319928165105661331302323679010383699021378394648311182679336332640173810606187552354084695192694563499592518778100483445883917131490757843<152>

7031297053478820252836704940982133<34>
216618954992476495307119418561129767797475183<45>
7689400150761544910067260025642464616112812856275284452144717121553857737<73>

Number: s152
N=11711819333835319928165105661331302323679010383699021378394648311182679336332640173810606187552354084695192694563499592518778100483445883917131490757843
  ( 152 digits)
SNFS difficulty: 159 digits.
Divisors found:
 r1=7031297053478820252836704940982133 (pp34)
 r2=216618954992476495307119418561129767797475183 (pp45)
 r3=7689400150761544910067260025642464616112812856275284452144717121553857737 (pp73)
Version: Msieve-1.40
Total time: 20.84 hours.
Scaled time: 39.70 units (timescale=1.905).
Factorization parameters were as follows:
n: 11711819333835319928165105661331302323679010383699021378394648311182679336332640173810606187552354084695192694563499592518778100483445883917131490757843
m: 20000000000000000000000000000000
deg: 5
c5: 325
c0: 112
skew: 0.81
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 3100000/3100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1550000, 2750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 563522 x 563750
Total sieving time: 19.98 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.39 hours.
Time per square root: 0.39 hours.
Prototype def-par.txt line would be:
snfs,159.000,5,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000
total time: 20.84 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

3975785135643726702230450539778066801184587100157871451338767600314164799713954972226106445526223512112153625343514325724755468276601912413892029<145>

340269928723054252687708121264854816897562029160532745490903501797972559<72>
11684209505564680196886999355587721293576873890219180545631517614669025331<74>

Number: 72223_157
N=3975785135643726702230450539778066801184587100157871451338767600314164799713954972226106445526223512112153625343514325724755468276601912413892029
  ( 145 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=340269928723054252687708121264854816897562029160532745490903501797972559
 r2=11684209505564680196886999355587721293576873890219180545631517614669025331
Version: 
Total time: 16.06 hours.
Scaled time: 38.37 units (timescale=2.389).
Factorization parameters were as follows:
n: 3975785135643726702230450539778066801184587100157871451338767600314164799713954972226106445526223512112153625343514325724755468276601912413892029
m: 50000000000000000000000000000000
deg: 5
c5: 52
c0: 175
skew: 1.27
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1600000, 3000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9396692
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 601720 x 601968
Total sieving time: 14.61 hours.
Total relation processing time: 0.65 hours.
Matrix solve time: 0.73 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,51,51,2.4,2.4,100000
total time: 16.06 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

17207891835383235758484443528762219892183657200193172828691880569359507978042076647634841544083820217197423030516824039230894905196218677170418908238467<152>

1953853962358201528535638767049885845979<40>
8807153537009589409364235375690005448212234630799533315826453435493873992751942939736651790454264854292839358073<112>

N=17207891835383235758484443528762219892183657200193172828691880569359507978042076647634841544083820217197423030516824039230894905196218677170418908238467
  ( 152 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=1953853962358201528535638767049885845979 (pp40)
 r2=8807153537009589409364235375690005448212234630799533315826453435493873992751942939736651790454264854292839358073 (pp112)
Version: Msieve-1.40
Total time: 22.98 hours.
Scaled time: 43.39 units (timescale=1.888).
Factorization parameters were as follows:
n: 17207891835383235758484443528762219892183657200193172828691880569359507978042076647634841544083820217197423030516824039230894905196218677170418908238467
m: 100000000000000000000000000000000
deg: 5
c5: 13
c0: 14
skew: 1.01
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, 3000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 645407 x 645633
Total sieving time: 22.28 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.55 hours.
Time per square root: 0.07 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: 22.98 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

1301034567014673497892919265231793046878598035690062464234773174782366433468283011049257436954506807102849869231615244025133<124>

20357986503829909242696372348001111417687352381<47>
63907821471927606482939461715126003027541213468536152840468146898123845327793<77>

Number: 72223_160
N=1301034567014673497892919265231793046878598035690062464234773174782366433468283011049257436954506807102849869231615244025133
  ( 124 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=20357986503829909242696372348001111417687352381 (pp47)
 r2=63907821471927606482939461715126003027541213468536152840468146898123845327793 (pp77)
Version: Msieve-1.40
Total time: 26.08 hours.
Scaled time: 86.65 units (timescale=3.322).
Factorization parameters were as follows:
name: 72223_160
n: 1301034567014673497892919265231793046878598035690062464234773174782366433468283011049257436954506807102849869231615244025133
m: 100000000000000000000000000000000
deg: 5
c5: 65
c0: 7
skew: 0.64
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1750000, 3150001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 611722 x 611970
Total sieving time: 25.21 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.69 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,161.000,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 26.08 hours.
 --------- CPU info (if available) ----------

9511684882134657103583478171233840687877877382184865824492238380051531346401527161234078799<91>

2848409643006055036625993604980263881331<40>
3339296686306871044335539412177570631478147640034229<52>

Tue Oct 27 16:31:08 2009  Msieve v. 1.42
Tue Oct 27 16:31:08 2009  random seeds: b1198b50 756956c1
Tue Oct 27 16:31:08 2009  factoring 9511684882134657103583478171233840687877877382184865824492238380051531346401527161234078799 (91 digits)
Tue Oct 27 16:31:09 2009  searching for 15-digit factors
Tue Oct 27 16:31:10 2009  commencing quadratic sieve (91-digit input)
Tue Oct 27 16:31:10 2009  using multiplier of 23
Tue Oct 27 16:31:10 2009  using 32kb Intel Core sieve core
Tue Oct 27 16:31:10 2009  sieve interval: 36 blocks of size 32768
Tue Oct 27 16:31:10 2009  processing polynomials in batches of 6
Tue Oct 27 16:31:10 2009  using a sieve bound of 1753553 (65751 primes)
Tue Oct 27 16:31:10 2009  using large prime bound of 177108853 (27 bits)
Tue Oct 27 16:31:10 2009  using double large prime bound of 702801048059511 (42-50 bits)
Tue Oct 27 16:31:10 2009  using trial factoring cutoff of 50 bits
Tue Oct 27 16:31:10 2009  polynomial 'A' values have 12 factors
Tue Oct 27 18:27:20 2009  65975 relations (16850 full + 49125 combined from 800521 partial), need 65847
Tue Oct 27 18:27:21 2009  begin with 817371 relations
Tue Oct 27 18:27:22 2009  reduce to 165324 relations in 10 passes
Tue Oct 27 18:27:22 2009  attempting to read 165324 relations
Tue Oct 27 18:27:24 2009  recovered 165324 relations
Tue Oct 27 18:27:24 2009  recovered 147877 polynomials
Tue Oct 27 18:27:25 2009  attempting to build 65975 cycles
Tue Oct 27 18:27:25 2009  found 65975 cycles in 6 passes
Tue Oct 27 18:27:25 2009  distribution of cycle lengths:
Tue Oct 27 18:27:25 2009     length 1 : 16850
Tue Oct 27 18:27:25 2009     length 2 : 12355
Tue Oct 27 18:27:25 2009     length 3 : 11631
Tue Oct 27 18:27:25 2009     length 4 : 8792
Tue Oct 27 18:27:25 2009     length 5 : 6353
Tue Oct 27 18:27:25 2009     length 6 : 4131
Tue Oct 27 18:27:25 2009     length 7 : 2598
Tue Oct 27 18:27:25 2009     length 9+: 3265
Tue Oct 27 18:27:25 2009  largest cycle: 22 relations
Tue Oct 27 18:27:25 2009  matrix is 65751 x 65975 (16.1 MB) with weight 3946793 (59.82/col)
Tue Oct 27 18:27:25 2009  sparse part has weight 3946793 (59.82/col)
Tue Oct 27 18:27:26 2009  filtering completed in 3 passes
Tue Oct 27 18:27:26 2009  matrix is 62108 x 62171 (15.2 MB) with weight 3745410 (60.24/col)
Tue Oct 27 18:27:26 2009  sparse part has weight 3745410 (60.24/col)
Tue Oct 27 18:27:26 2009  saving the first 48 matrix rows for later
Tue Oct 27 18:27:26 2009  matrix is 62060 x 62171 (8.8 MB) with weight 2840677 (45.69/col)
Tue Oct 27 18:27:26 2009  sparse part has weight 1934538 (31.12/col)
Tue Oct 27 18:27:26 2009  matrix includes 64 packed rows
Tue Oct 27 18:27:26 2009  using block size 24868 for processor cache size 1024 kB
Tue Oct 27 18:27:27 2009  commencing Lanczos iteration
Tue Oct 27 18:27:27 2009  memory use: 9.5 MB
Tue Oct 27 18:27:49 2009  lanczos halted after 983 iterations (dim = 62058)
Tue Oct 27 18:27:49 2009  recovered 16 nontrivial dependencies
Tue Oct 27 18:27:50 2009  prp40 factor: 2848409643006055036625993604980263881331
Tue Oct 27 18:27:50 2009  prp52 factor: 3339296686306871044335539412177570631478147640034229
Tue Oct 27 18:27:50 2009  elapsed time 01:56:42

892243222151303127585237134646888700719111322344662705134948669982776787671783703532461989654078209429613406012214041099368896840129135168614444569<147>

813256512052658243117005216012106187806335489002678159581152113487081<69>
1097123981090889200601269157296277423248544642116547145585024451148021609609649<79>

Number: 72223_163
N=892243222151303127585237134646888700719111322344662705134948669982776787671783703532461989654078209429613406012214041099368896840129135168614444569
  ( 147 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=813256512052658243117005216012106187806335489002678159581152113487081
 r2=1097123981090889200601269157296277423248544642116547145585024451148021609609649
Version: 
Total time: 24.00 hours.
Scaled time: 57.32 units (timescale=2.388).
Factorization parameters were as follows:
n: 892243222151303127585237134646888700719111322344662705134948669982776787671783703532461989654078209429613406012214041099368896840129135168614444569
m: 1000000000000000000000000000000000
deg: 5
c5: 13
c0: 140
skew: 1.61
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2100000, 4100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9802166
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 762660 x 762908
Total sieving time: 21.69 hours.
Total relation processing time: 0.96 hours.
Matrix solve time: 1.27 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
total time: 24.00 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

82174278126434783823391208352460875362453913579954847715282054703599326256843388185088845857667117607706749934491923336032382214386373130028033751518707<152>

312974659587106130775379744870042305659798659750210394695905699474058989043<75>
262558886508076207744801887760311254273758547653064352203241793866965567029249<78>

Number: 72223_165
N=82174278126434783823391208352460875362453913579954847715282054703599326256843388185088845857667117607706749934491923336032382214386373130028033751518707
  ( 152 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=312974659587106130775379744870042305659798659750210394695905699474058989043 (pp75)
 r2=262558886508076207744801887760311254273758547653064352203241793866965567029249 (pp78)
Version: Msieve v. 1.43
Total time: 48.54 hours.
Scaled time: 138.34 units (timescale=2.850).
Factorization parameters were as follows:
n: 82174278126434783823391208352460875362453913579954847715282054703599326256843388185088845857667117607706749934491923336032382214386373130028033751518707
m: 1000000000000000000000000000000000
deg: 5
c5: 65
c0: 7
skew: 0.64
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2100000, 4200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 816606 x 816831
Total sieving time: 47.76 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.67 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,166.000,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
total time: 48.54 hours.
 --------- CPU info (if available) ----------

ggnfs

i7 860, Windows 7 64-bit

20613285410791399847963020339554469179698463914900500958799711548129558742190112372718542216136149007590964668940930881388402543974107<134>

38193230406948684571552583999784827600729778787<47>
539710445834430443984846773683208596167589324890419490136744654630000672122515072536361<87>

Number: 72223_166
N=20613285410791399847963020339554469179698463914900500958799711548129558742190112372718542216136149007590964668940930881388402543974107
  ( 134 digits)
SNFS difficulty: 167 digits.
Divisors found:
 r1=38193230406948684571552583999784827600729778787 (pp47)
 r2=539710445834430443984846773683208596167589324890419490136744654630000672122515072536361 (pp87)
Version: Msieve-1.40
Total time: 47.56 hours.
Scaled time: 150.04 units (timescale=3.155).
Factorization parameters were as follows:
name: 72223_166
n: 20613285410791399847963020339554469179698463914900500958799711548129558742190112372718542216136149007590964668940930881388402543974107
m: 1000000000000000000000000000000000
deg: 5
c5: 650
c0: 7
skew: 0.40
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, 4600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 838484 x 838732
Total sieving time: 45.99 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.39 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,167.000,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,51,51,2.4,2.4,100000
total time: 47.56 hours.
 --------- CPU info (if available) ----------

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

59958925299595297086244453399779390186664025171463241073729820594906940002338310582528151986714927499592983234449557494670905727371433<134>

407472492373182348128619759077424424756614058339612861<54>
147148400007041730925598805726120104816302456398803867508118771308307372532341853<81>

total time: ~48 hours

Msieve v. 1.44
Mon Jan 25 13:32:19 2010
random seeds: 0a15ab3b 249182e7
factoring 59958925299595297086244453399779390186664025171463241073729820594906940002338310582528151986714927499592983234449557494670905727371433 (134 digits)
searching for 15-digit factors
commencing number field sieve (134-digit input)
R0: -1000000000000000000000000000000000
R1:  1
A0:  7
A1:  0
A2:  0
A3:  0
A4:  0
A5:  65000
skew 0.16, size 4.868731e-12, alpha -0.331572, combined = 2.184700e-10

commencing relation filtering
estimated available RAM is 8010.2 MB
commencing duplicate removal, pass 1
found 931400 hash collisions in 10512758 relations
added 3210 free relations
commencing duplicate removal, pass 2
found 650337 duplicates and 9865631 unique relations
memory use: 34.6 MB
reading ideals above 100000
commencing singleton removal, initial pass
memory use: 344.5 MB
reading all ideals from disk
memory use: 353.3 MB
keeping 11072790 ideals with weight <= 200, target excess is 53431
commencing in-memory singleton removal
begin with 9865631 relations and 11072790 unique ideals
reduce to 3779555 relations and 3699040 ideals in 20 passes
max relations containing the same ideal: 107
removing 162453 relations and 153185 ideals in 9268 cliques
commencing in-memory singleton removal
begin with 3617102 relations and 3699040 unique ideals
reduce to 3610938 relations and 3539657 ideals in 10 passes
max relations containing the same ideal: 104
removing 114991 relations and 105723 ideals in 9268 cliques
commencing in-memory singleton removal
begin with 3495947 relations and 3539657 unique ideals
reduce to 3492374 relations and 3430348 ideals in 7 passes
max relations containing the same ideal: 103
relations with 0 large ideals: 1178
relations with 1 large ideals: 3836
relations with 2 large ideals: 38080
relations with 3 large ideals: 192261
relations with 4 large ideals: 476896
relations with 5 large ideals: 597238
relations with 6 large ideals: 775783
relations with 7+ large ideals: 1407102
commencing 2-way merge
reduce to 2032126 relation sets and 1970101 unique ideals
ignored 1 oversize relation sets
commencing full merge
memory use: 224.1 MB
found 1022477 cycles, need 1020301
weight of 1020301 cycles is about 71709505 (70.28/cycle)
distribution of cycle lengths:
1 relations: 159150
2 relations: 137349
3 relations: 121060
4 relations: 102161
5 relations: 85693
6 relations: 70531
7 relations: 59851
8 relations: 49218
9 relations: 40823
10+ relations: 194465
heaviest cycle: 28 relations
commencing cycle optimization
start with 6038205 relations
pruned 124038 relations
memory use: 201.2 MB
distribution of cycle lengths:
1 relations: 159150
2 relations: 139980
3 relations: 124839
4 relations: 103747
5 relations: 86863
6 relations: 71011
7 relations: 59574
8 relations: 48806
9 relations: 40455
10+ relations: 185876
heaviest cycle: 28 relations
RelProcTime: 262

commencing linear algebra
read 1020301 cycles
cycles contain 3407454 unique relations
read 3407454 relations
using 20 quadratic characters above 134217174
building initial matrix
memory use: 416.6 MB
read 1020301 cycles
matrix is 1020124 x 1020301 (306.8 MB) with weight 91183065 (89.37/col)
sparse part has weight 69213266 (67.84/col)
filtering completed in 2 passes
matrix is 1019058 x 1019235 (306.7 MB) with weight 91144105 (89.42/col)
sparse part has weight 69200652 (67.89/col)
read 1019235 cycles
matrix is 1019058 x 1019235 (306.7 MB) with weight 91144105 (89.42/col)
sparse part has weight 69200652 (67.89/col)
saving the first 48 matrix rows for later
matrix is 1019010 x 1019235 (290.5 MB) with weight 72457524 (71.09/col)
sparse part has weight 65954254 (64.71/col)
matrix includes 64 packed rows
using block size 65536 for processor cache size 4096 kB
commencing Lanczos iteration (4 threads)
memory use: 306.3 MB
linear algebra at 0.1%, ETA 1h 7m019235 dimensions (0.1%, ETA 1h 7m)
linear algebra completed 1018886 of 1019235 dimensions (100.0%, ETA 0h 0m)
lanczos halted after 16115 iterations (dim = 1019009)
recovered 39 nontrivial dependencies
BLanczosTime: 5143

commencing square root phase
reading relations for dependency 1
read 509864 cycles
cycles contain 1703386 unique relations
read 1703386 relations
multiplying 1703386 relations
multiply complete, coefficients have about 62.81 million bits
initial square root is modulo 1040616961
sqrtTime: 284
prp54 factor: 407472492373182348128619759077424424756614058339612861
prp81 factor: 147148400007041730925598805726120104816302456398803867508118771308307372532341853

6432790690906832654728138446237614910959037859336903912051851936251399619164574787907261232969646433644675018209025684924194948225060275630789<142>

16755539813811419577324028768476793049<38>
2033261506695711968567171206558801965737<40>
188819897611386026982238522704043786485667381321427555249205867653<66>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2005714314
Step 1 took 26762ms
Step 2 took 11953ms
********** Factor found in step 2: 2033261506695711968567171206558801965737
Found probable prime factor of 40 digits: 2033261506695711968567171206558801965737
Probable prime cofactor 188819897611386026982238522704043786485667381321427555249205867653 has 66 digits

GMP-ECM 6.2.1

108404338174837852126476175228107743905591495763058136412683641118265797430650409351458538676166222208880149831472948114348231424916653741534038128307374663738081776897201<171>

28045218294644002661656500892213117<35>
3865341215601827188809187731591195001845176710932875113565226610209954285454175288779980587070108534688701518416552656964627055137706053<136>

Number: 72223_174
N=108404338174837852126476175228107743905591495763058136412683641118265797430650409351458538676166222208880149831472948114348231424916653741534038128307374663738081776897201
  ( 171 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=28045218294644002661656500892213117 (pp35)
 r2=3865341215601827188809187731591195001845176710932875113565226610209954285454175288779980587070108534688701518416552656964627055137706053 (pp136)
Version: Msieve-1.40
Total time: 77.49 hours.
Scaled time: 134.75 units (timescale=1.739).
Factorization parameters were as follows:
n: 108404338174837852126476175228107743905591495763058136412683641118265797430650409351458538676166222208880149831472948114348231424916653741534038128307374663738081776897201
m: 100000000000000000000000000000000000
deg: 5
c5: 13
c0: 14
skew: 1.01
type: snfs
lss: 1
rlim: 6000000
alim: 6000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3000000, 6700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1284651 x 1284877
Total sieving time: 74.58 hours.
Total relation processing time: 0.35 hours.
Matrix solve time: 2.34 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,176.000,5,0,0,0,0,0,0,0,0,6000000,6000000,28,28,53,53,2.5,2.5,100000
total time: 77.49 hours.

GGNFS, Msieve

80246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580247<176>

4442942910712936991397591050639207179<37>
18061657597884841998286548530250959539096033255123941595949495422393933276866461274947045522461378351677425535396899275108324213821248779493<140>

 Factor=4442942910712936991397591050639207179  Method=ECM  B1=11000000  Sigma=1661063128

ECMNET

72222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223<179>

4546037810993042721512544690503200646940652284786594915763822514701850550736979210131<85>
15886850313382215611347659103956660765448868131186254125303005503365575849391011481816610070933<95>

N=72222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223
  ( 179 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=4546037810993042721512544690503200646940652284786594915763822514701850550736979210131 (pp85)
 r2=15886850313382215611347659103956660765448868131186254125303005503365575849391011481816610070933 (pp95)
Version: Msieve-1.40
Total time: 138.67 hours.
Scaled time: 255.70 units (timescale=1.844).
Factorization parameters were as follows:
n: 72222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223
m: 500000000000000000000000000000000000
deg: 5
c5: 104
c0: 35
skew: 0.80
type: snfs
lss: 1
rlim: 7100000
alim: 7100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7100000/7100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3550000, 5850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1505997 x 1506225
Total sieving time: 135.42 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 2.90 hours.
Time per square root: 0.18 hours.
Prototype def-par.txt line would be:
snfs,180.000,5,0,0,0,0,0,0,0,0,7100000,7100000,28,28,53,53,2.5,2.5,100000
total time: 138.67 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

2641612133315706428642348518340379880734437609588052470800585732661239403723045498591927742547718898153510375051891667268833036527731008998514728812305282327<157>

493647735228353362073308311675286177799<39>
209595005972561013332632059079704561015085621463<48>
25531184928883200137302725472969694427440403989596397197904169601876471<71>

GMP-ECM 6.4.4 [configured with GMP 5.1.3, --enable-asm-redc] [ECM]
Input number is 2641612133315706428642348518340379880734437609588052470800585732661239403723045498591927742547718898153510375051891667268833036527731008998514728812305282327 (157 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=6892517898
Step 1 took 29906ms
********** Factor found in step 1: 493647735228353362073308311675286177799
Found probable prime factor of 39 digits: 493647735228353362073308311675286177799
Composite cofactor 5351208857655834063211434129876727561151847500996865412466137018988163994729412616401932008847074096847490855992297073 has 118 digits

Number: 72223_182
N=5351208857655834063211434129876727561151847500996865412466137018988163994729412616401932008847074096847490855992297073
  ( 118 digits)
Divisors found:
 r1=209595005972561013332632059079704561015085621463
 r2=25531184928883200137302725472969694427440403989596397197904169601876471
Version: 
Total time: 15.55 hours.
Scaled time: 81.37 units (timescale=5.232).
Factorization parameters were as follows:
name: 72223_182
n: 5351208857655834063211434129876727561151847500996865412466137018988163994729412616401932008847074096847490855992297073
skew: 16040.71
# norm 9.58e+15
c5: 135840
c4: -30785074726
c3: 215040863440611
c2: 2993547443805970272
c1: -35027799799194277786816
c0: -59097269626122868448494536
# alpha -5.73
Y1: 6729528904637
Y0: -33043714011110806209725
# Murphy_E 3.83e-10
# M 195137398105483261020368741844518993687401760848895731689646113669407945519435555553595175089776252935355248781071546
type: gnfs
rlim: 4000000
alim: 4000000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2000000, 3700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 10842229
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 618598 x 618846
Polynomial selection time: 1.98 hours.
Total sieving time: 12.71 hours.
Total relation processing time: 0.44 hours.
Matrix solve time: 0.35 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
gnfs,117,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4000000,4000000,27,27,54,54,2.5,2.5,100000
total time: 15.55 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49374320k/51380224k available (5220k kernel code, 1085960k absent, 919944k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.06 BogoMIPS (lpj=3400031)
Total of 12 processors activated (81600.74 BogoMIPS).

GMP-ECM 6.4.4 / GGNFS / Msieve v1.39

Core i7 4930K

593714599265207931095882105169915118008212788115964717133704224562898959960527460053467811384892608666876228125936544633972771159552346337<138>

21849812748236144008464710337280850879<38>
27172525737692482212391401687104134737901694575685983842308802500321577962738259082419630105067070303<101>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3570817345
Step 1 took 42646ms
Step 2 took 14810ms
********** Factor found in step 2: 21849812748236144008464710337280850879
Found probable prime factor of 38 digits: 21849812748236144008464710337280850879
Probable prime cofactor 27172525737692482212391401687104134737901694575685983842308802500321577962738259082419630105067070303 has 101 digits

GMP-ECM 6.2.1

9992446704268870091349555229592036018757643712556585565191313293208836305561679227859167928740895364038098122944741172457685676504373513938077406528133<151>

2073505790294797188975313568077629723158130851<46>
163537875289367801478215117275547495105574621911<48>
29467835518892384997669539978253348159905498508076485528353<59>

Number: 72223_185
N = 9992446704268870091349555229592036018757643712556585565191313293208836305561679227859167928740895364038098122944741172457685676504373513938077406528133 (151 digits)
SNFS difficulty: 187 digits.
Divisors found:
r1=2073505790294797188975313568077629723158130851 (pp46)
r2=163537875289367801478215117275547495105574621911 (pp48)
r3=29467835518892384997669539978253348159905498508076485528353 (pp59)
Version: Msieve v. 1.52 (SVN 959M)
Total time: 13.46 hours.
Factorization parameters were as follows:
n: 9992446704268870091349555229592036018757643712556585565191313293208836305561679227859167928740895364038098122944741172457685676504373513938077406528133
m: 10000000000000000000000000000000000000
deg: 5
c5: 65
c0: 7
skew: 0.64
# Murphy_E = 5.617e-11
type: snfs
lss: 1
rlim: 9100000
alim: 9100000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9100000/9100000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 21341759
Relations: 3348282 relations
Pruned matrix : 1978007 x 1978236
Polynomial selection time: 0.00 hours.
Total sieving time: 11.97 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.26 hours.
time per square root: 0.12 hours.
Prototype def-par.txt line would be: snfs,187,5,0,0,0,0,0,0,0,0,9100000,9100000,28,28,54,54,2.5,2.5,200000
total time: 13.46 hours.
Intel64 Family 6 Model 62 Stepping 4, GenuineIntel
Windows-7-6.1.7600
processors: 12, speed: 3.40GHz

1063108039973289495008722644717309009995319086930738440376172409901464563665049488603438861011183010708304884647593099827926970051983811048405823409<148>

16831840893591172568062336443752145698066070465644543066931807007<65>
63160532867089686586992836601484646262729790712462092828560112822327191600914973487<83>

Wed Mar 28 14:12:09 2018  
Wed Mar 28 14:12:09 2018  
Wed Mar 28 14:12:09 2018  Msieve v. 1.54 (SVN 1018)
Wed Mar 28 14:12:09 2018  random seeds: 1825f03c 2a32de93
Wed Mar 28 14:12:09 2018  factoring 1063108039973289495008722644717309009995319086930738440376172409901464563665049488603438861011183010708304884647593099827926970051983811048405823409 (148 digits)
Wed Mar 28 14:12:10 2018  searching for 15-digit factors
Wed Mar 28 14:12:10 2018  commencing number field sieve (148-digit input)
Wed Mar 28 14:12:10 2018  R0: -10000000000000000000000000000000000000
Wed Mar 28 14:12:10 2018  R1: 1
Wed Mar 28 14:12:10 2018  A0: 7
Wed Mar 28 14:12:10 2018  A1: 0
Wed Mar 28 14:12:10 2018  A2: 0
Wed Mar 28 14:12:10 2018  A3: 0
Wed Mar 28 14:12:10 2018  A4: 0
Wed Mar 28 14:12:10 2018  A5: 6500
Wed Mar 28 14:12:10 2018  skew 0.25, size 2.341e-013, alpha 0.375, combined = 3.482e-011 rroots = 1
Wed Mar 28 14:12:10 2018  
Wed Mar 28 14:12:10 2018  commencing relation filtering
Wed Mar 28 14:12:10 2018  estimated available RAM is 16307.6 MB
Wed Mar 28 14:12:10 2018  commencing duplicate removal, pass 1
Wed Mar 28 14:16:18 2018  found 4677143 hash collisions in 25895929 relations
Wed Mar 28 14:16:48 2018  added 720788 free relations
Wed Mar 28 14:16:48 2018  commencing duplicate removal, pass 2
Wed Mar 28 14:17:02 2018  found 4461625 duplicates and 22155092 unique relations
Wed Mar 28 14:17:02 2018  memory use: 165.2 MB
Wed Mar 28 14:17:02 2018  reading ideals above 720000
Wed Mar 28 14:17:03 2018  commencing singleton removal, initial pass
Wed Mar 28 14:20:12 2018  memory use: 689.0 MB
Wed Mar 28 14:20:13 2018  reading all ideals from disk
Wed Mar 28 14:20:13 2018  memory use: 708.2 MB
Wed Mar 28 14:20:14 2018  keeping 22442717 ideals with weight <= 200, target excess is 120019
Wed Mar 28 14:20:16 2018  commencing in-memory singleton removal
Wed Mar 28 14:20:17 2018  begin with 22155092 relations and 22442717 unique ideals
Wed Mar 28 14:20:31 2018  reduce to 11753561 relations and 10247573 ideals in 15 passes
Wed Mar 28 14:20:31 2018  max relations containing the same ideal: 137
Wed Mar 28 14:20:36 2018  removing 2014841 relations and 1614841 ideals in 400000 cliques
Wed Mar 28 14:20:37 2018  commencing in-memory singleton removal
Wed Mar 28 14:20:37 2018  begin with 9738720 relations and 10247573 unique ideals
Wed Mar 28 14:20:42 2018  reduce to 9457349 relations and 8339269 ideals in 8 passes
Wed Mar 28 14:20:42 2018  max relations containing the same ideal: 120
Wed Mar 28 14:20:46 2018  removing 1583900 relations and 1183900 ideals in 400000 cliques
Wed Mar 28 14:20:47 2018  commencing in-memory singleton removal
Wed Mar 28 14:20:47 2018  begin with 7873449 relations and 8339269 unique ideals
Wed Mar 28 14:20:51 2018  reduce to 7670883 relations and 6944436 ideals in 8 passes
Wed Mar 28 14:20:51 2018  max relations containing the same ideal: 98
Wed Mar 28 14:20:54 2018  removing 1457769 relations and 1057769 ideals in 400000 cliques
Wed Mar 28 14:20:54 2018  commencing in-memory singleton removal
Wed Mar 28 14:20:55 2018  begin with 6213114 relations and 6944436 unique ideals
Wed Mar 28 14:20:58 2018  reduce to 6012494 relations and 5676384 ideals in 9 passes
Wed Mar 28 14:20:58 2018  max relations containing the same ideal: 84
Wed Mar 28 14:21:00 2018  removing 810601 relations and 613714 ideals in 196887 cliques
Wed Mar 28 14:21:01 2018  commencing in-memory singleton removal
Wed Mar 28 14:21:01 2018  begin with 5201893 relations and 5676384 unique ideals
Wed Mar 28 14:21:03 2018  reduce to 5131255 relations and 4989967 ideals in 7 passes
Wed Mar 28 14:21:03 2018  max relations containing the same ideal: 73
Wed Mar 28 14:21:06 2018  relations with 0 large ideals: 2901
Wed Mar 28 14:21:06 2018  relations with 1 large ideals: 1040
Wed Mar 28 14:21:06 2018  relations with 2 large ideals: 19171
Wed Mar 28 14:21:06 2018  relations with 3 large ideals: 136623
Wed Mar 28 14:21:06 2018  relations with 4 large ideals: 514258
Wed Mar 28 14:21:06 2018  relations with 5 large ideals: 1110112
Wed Mar 28 14:21:06 2018  relations with 6 large ideals: 1493202
Wed Mar 28 14:21:06 2018  relations with 7+ large ideals: 1853948
Wed Mar 28 14:21:06 2018  commencing 2-way merge
Wed Mar 28 14:21:08 2018  reduce to 3267924 relation sets and 3126636 unique ideals
Wed Mar 28 14:21:08 2018  commencing full merge
Wed Mar 28 14:22:04 2018  memory use: 388.6 MB
Wed Mar 28 14:22:05 2018  found 1719557 cycles, need 1698836
Wed Mar 28 14:22:05 2018  weight of 1698836 cycles is about 119299685 (70.22/cycle)
Wed Mar 28 14:22:05 2018  distribution of cycle lengths:
Wed Mar 28 14:22:05 2018  1 relations: 161607
Wed Mar 28 14:22:05 2018  2 relations: 190175
Wed Mar 28 14:22:05 2018  3 relations: 199496
Wed Mar 28 14:22:05 2018  4 relations: 189346
Wed Mar 28 14:22:05 2018  5 relations: 179256
Wed Mar 28 14:22:05 2018  6 relations: 161928
Wed Mar 28 14:22:05 2018  7 relations: 141271
Wed Mar 28 14:22:05 2018  8 relations: 119316
Wed Mar 28 14:22:05 2018  9 relations: 96704
Wed Mar 28 14:22:05 2018  10+ relations: 259737
Wed Mar 28 14:22:05 2018  heaviest cycle: 20 relations
Wed Mar 28 14:22:05 2018  commencing cycle optimization
Wed Mar 28 14:22:07 2018  start with 9672632 relations
Wed Mar 28 14:22:22 2018  pruned 267841 relations
Wed Mar 28 14:22:22 2018  memory use: 310.8 MB
Wed Mar 28 14:22:22 2018  distribution of cycle lengths:
Wed Mar 28 14:22:22 2018  1 relations: 161607
Wed Mar 28 14:22:22 2018  2 relations: 194330
Wed Mar 28 14:22:22 2018  3 relations: 207168
Wed Mar 28 14:22:22 2018  4 relations: 194921
Wed Mar 28 14:22:22 2018  5 relations: 185060
Wed Mar 28 14:22:22 2018  6 relations: 165600
Wed Mar 28 14:22:22 2018  7 relations: 143705
Wed Mar 28 14:22:22 2018  8 relations: 119699
Wed Mar 28 14:22:22 2018  9 relations: 95411
Wed Mar 28 14:22:22 2018  10+ relations: 231335
Wed Mar 28 14:22:22 2018  heaviest cycle: 20 relations
Wed Mar 28 14:22:24 2018  RelProcTime: 614
Wed Mar 28 14:22:24 2018  
Wed Mar 28 14:22:24 2018  commencing linear algebra
Wed Mar 28 14:22:24 2018  read 1698836 cycles
Wed Mar 28 14:22:26 2018  cycles contain 5029756 unique relations
Wed Mar 28 14:23:04 2018  read 5029756 relations
Wed Mar 28 14:23:12 2018  using 20 quadratic characters above 4294917295
Wed Mar 28 14:23:37 2018  building initial matrix
Wed Mar 28 14:24:16 2018  memory use: 639.9 MB
Wed Mar 28 14:24:18 2018  read 1698836 cycles
Wed Mar 28 14:24:18 2018  matrix is 1698659 x 1698836 (508.7 MB) with weight 150980571 (88.87/col)
Wed Mar 28 14:24:18 2018  sparse part has weight 114669471 (67.50/col)
Wed Mar 28 14:24:30 2018  filtering completed in 2 passes
Wed Mar 28 14:24:31 2018  matrix is 1698201 x 1698378 (508.7 MB) with weight 150965638 (88.89/col)
Wed Mar 28 14:24:31 2018  sparse part has weight 114664067 (67.51/col)
Wed Mar 28 14:24:34 2018  matrix starts at (0, 0)
Wed Mar 28 14:24:34 2018  matrix is 1698201 x 1698378 (508.7 MB) with weight 150965638 (88.89/col)
Wed Mar 28 14:24:34 2018  sparse part has weight 114664067 (67.51/col)
Wed Mar 28 14:24:34 2018  saving the first 48 matrix rows for later
Wed Mar 28 14:24:35 2018  matrix includes 64 packed rows
Wed Mar 28 14:24:35 2018  matrix is 1698153 x 1698378 (482.3 MB) with weight 120267412 (70.81/col)
Wed Mar 28 14:24:35 2018  sparse part has weight 109452709 (64.45/col)
Wed Mar 28 14:24:35 2018  using block size 8192 and superblock size 1966080 for processor cache size 20480 kB
Wed Mar 28 14:24:41 2018  commencing Lanczos iteration (32 threads)
Wed Mar 28 14:24:41 2018  memory use: 387.8 MB
Wed Mar 28 14:24:44 2018  linear algebra at 0.1%, ETA 0h56m
Wed Mar 28 14:24:45 2018  checkpointing every 1820000 dimensions
Wed Mar 28 15:09:46 2018  lanczos halted after 26857 iterations (dim = 1698153)
Wed Mar 28 15:09:48 2018  recovered 40 nontrivial dependencies
Wed Mar 28 15:09:48 2018  BLanczosTime: 2844
Wed Mar 28 15:09:48 2018  
Wed Mar 28 15:09:48 2018  commencing square root phase
Wed Mar 28 15:09:48 2018  reading relations for dependency 1
Wed Mar 28 15:09:48 2018  read 849376 cycles
Wed Mar 28 15:09:49 2018  cycles contain 2515434 unique relations
Wed Mar 28 15:10:11 2018  read 2515434 relations
Wed Mar 28 15:10:20 2018  multiplying 2515434 relations
Wed Mar 28 15:11:48 2018  multiply complete, coefficients have about 86.22 million bits
Wed Mar 28 15:11:48 2018  initial square root is modulo 1545241
Wed Mar 28 15:13:25 2018  GCD is 1, no factor found
Wed Mar 28 15:13:25 2018  reading relations for dependency 2
Wed Mar 28 15:13:26 2018  read 851185 cycles
Wed Mar 28 15:13:27 2018  cycles contain 2518716 unique relations
Wed Mar 28 15:13:48 2018  read 2518716 relations
Wed Mar 28 15:13:57 2018  multiplying 2518716 relations
Wed Mar 28 15:15:25 2018  multiply complete, coefficients have about 86.33 million bits
Wed Mar 28 15:15:25 2018  initial square root is modulo 1574071
Wed Mar 28 15:17:03 2018  sqrtTime: 435
Wed Mar 28 15:17:03 2018  p65 factor: 16831840893591172568062336443752145698066070465644543066931807007
Wed Mar 28 15:17:03 2018  p83 factor: 63160532867089686586992836601484646262729790712462092828560112822327191600914973487
Wed Mar 28 15:17:03 2018  elapsed time 01:04:54

1347572669301109953949998348172900968329488051278258747576035982677855617296089367339361336974878944198897<106>

1138013643656600919904580369595610705548818987<46>
1184144563479191562090572761473075877638386411991788655406931<61>

Number: 72223_188
N=1347572669301109953949998348172900968329488051278258747576035982677855617296089367339361336974878944198897
  ( 106 digits)
Divisors found:
 r1=1138013643656600919904580369595610705548818987 (pp46)
 r2=1184144563479191562090572761473075877638386411991788655406931 (pp61)
Version: Msieve-1.40
Total time: 9.28 hours.
Scaled time: 9.54 units (timescale=1.028).
Factorization parameters were as follows:
name: 72223_188
n: 1347572669301109953949998348172900968329488051278258747576035982677855617296089367339361336974878944198897
skew: 20299.51
# norm 3.91e+014
c5: 25380
c4: -407224297
c3: -35695951343608
c2: 270716599948667212
c1: 6171660106286066625728
c0: 10630957816144681327805185
# alpha -5.87
Y1: 230111174513
Y0: -139641470087173881524
# Murphy_E 1.71e-009
# M 1023586989596875295902999083337639354687779000129821085247661007333863292560625974576569941944116155178271
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 307925 x 308152
Polynomial selection time: 0.84 hours.
Total sieving time: 8.08 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.21 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
gnfs,105,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 9.28 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

3204622386772186500542986287026391938826618145725617963357953214583832206760658734289523630910130999539964130908134273283590691627026720289366555111296288983183670072588641211019897697607<187>

118834665715891285931165470846193431620288838834047092736312205484095567675973<78>
26967066953625848663939436195401563148230353806727837165947530112005691081992771892268095959171730752991762459<110>

Number: n
N=3204622386772186500542986287026391938826618145725617963357953214583832206760658734289523630910130999539964130908134273283590691627026720289366555111296288983183670072588641211019897697607
  ( 187 digits)
SNFS difficulty: 193 digits.
Divisors found:

Tue Feb 23 01:45:08 2010  prp78 factor: 118834665715891285931165470846193431620288838834047092736312205484095567675973
Tue Feb 23 01:45:08 2010  prp110 factor: 26967066953625848663939436195401563148230353806727837165947530112005691081992771892268095959171730752991762459
Tue Feb 23 01:45:08 2010  elapsed time 11:12:11 (Msieve 1.42 - dependency 3)

Version: 
Total time: 19.93 hours.
Scaled time: 16.76 units (timescale=0.841).
Factorization parameters were as follows:
name: KA_7_2_191_3
n: 3204622386772186500542986287026391938826618145725617963357953214583832206760658734289523630910130999539964130908134273283590691627026720289366555111296288983183670072588641211019897697607
m: 100000000000000000000000000000000000000
deg: 5
c5: 6500
c0: 7
skew: 0.25
type: snfs
lss: 1
rlim: 11900000
alim: 11900000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 11900000/11900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 10632709)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3121277 hash collisions in 25406501 relations
Msieve: matrix is 1984331 x 1984558 (535.8 MB)

Total sieving time: 19.93 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,193,5,0,0,0,0,0,0,0,0,11900000,11900000,28,28,56,56,2.5,2.5,100000
total time: 19.93 hours.
 --------- CPU info (if available) ----------

393032755241953593732816329453761524767489971171371628345316905987298129697039820901710232272039378167981544786502958004246117036761736023556336864693<150>

7624190601160779016659090250310483321<37>

51550751522675018522266287786788814275048077732851829746459474778039978537603238494488272159493076802130222223133<113>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1441488083
Step 1 took 47275ms
Step 2 took 16303ms
********** Factor found in step 2: 7624190601160779016659090250310483321
Found probable prime factor of 37 digits: 7624190601160779016659090250310483321
Composite cofactor 51550751522675018522266287786788814275048077732851829746459474778039978537603238494488272159493076802130222223133 has 113 digits

GMP-ECM 6.2.1

51550751522675018522266287786788814275048077732851829746459474778039978537603238494488272159493076802130222223133<113>

273052063919366325763016102592425759636306414864987143<54>
188794586580741684905644457692277873007482836138123024351931<60>

Number: 72223_194
N=51550751522675018522266287786788814275048077732851829746459474778039978537603238494488272159493076802130222223133
  ( 113 digits)
Divisors found:
 r1=273052063919366325763016102592425759636306414864987143 (pp54)
 r2=188794586580741684905644457692277873007482836138123024351931 (pp60)
Version: Msieve-1.40
Total time: 26.12 hours.
Scaled time: 26.30 units (timescale=1.007).
Factorization parameters were as follows:
name: 72223_194
n: 51550751522675018522266287786788814275048077732851829746459474778039978537603238494488272159493076802130222223133
skew: 28101.07
# norm 2.49e+015
c5: 87480
c4: 1004856129
c3: -222070576128524
c2: -740136820656606496
c1: 74425772279683296958096
c0: 159258230282416511732846400
# alpha -5.86
Y1: 1063974041153
Y0: -3581499945924918201797
# Murphy_E 7.00e-010
# M 40610620651381900874736357795463379534833466793705614090822895704528946406243335529977265381704063465118931453860
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 2750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 432800 x 433031
Polynomial selection time: 2.11 hours.
Total sieving time: 23.07 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.42 hours.
Time per square root: 0.42 hours.
Prototype def-par.txt line would be:
gnfs,112,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 26.12 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

395222745611455244377133055398643621737601874661068091978907552810240494204375378168328192925530037816824981979904904130557048375217351994808537991854682219862901449462369674881544973<183>

5754783689304120658127798005794393634928558512673865943969645138492069142273252536693493353<91>
68677254776060284419185081006717211280238279999747605249532202287474689739742286466788897541<92>

Number: n
N=395222745611455244377133055398643621737601874661068091978907552810240494204375378168328192925530037816824981979904904130557048375217351994808537991854682219862901449462369674881544973
  ( 183 digits)
SNFS difficulty: 196 digits.
Divisors found:

Sun Nov 25 12:28:50 2012  prp91 factor: 5754783689304120658127798005794393634928558512673865943969645138492069142273252536693493353
Sun Nov 25 12:28:50 2012  prp92 factor: 68677254776060284419185081006717211280238279999747605249532202287474689739742286466788897541
Sun Nov 25 12:28:50 2012  elapsed time 05:02:34 (Msieve 1.44 - dependency 2)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.099).
Factorization parameters were as follows:
name: KA_72223_195
n: 395222745611455244377133055398643621737601874661068091978907552810240494204375378168328192925530037816824981979904904130557048375217351994808537991854682219862901449462369674881544973
m: 1000000000000000000000000000000000000000
#  c183, diff: 196.81
skew: 0.64
deg: 5
c5: 65
c0: 7
# Murphy_E = 2.176e-11
type: snfs
lss: 1
rlim: 13300000
alim: 13300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 13300000/13300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 59850000)
Primes: RFBsize:867482, AFBsize:867027,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 3793014 hash collisions in 31754529 relations (29834330 unique)
Msieve: matrix is 1877772 x 1877997 (528.4 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13300000,13300000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5660.56 BogoMIPS (lpj=2830282)
Calibrating delay using timer specific routine.. 5660.90 BogoMIPS (lpj=2830452)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830458)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830459)
Total of 4 processors activated (22643.30 BogoMIPS).

464142686722745340584875603187502457411514811527611553534963221118191014197348831891220028736852891836264497194345563592210127154892374031093028232828843<153>

154500199270762649390624096718116043331664607407248992726331<60>
3004155909917838534518784539008087283871015639145256391150442042312246326788707416762757814353<94>

464142686722745340584875603187502457411514811527611553534963221118191014197348831891220028736852891836264497194345563592210127154892374031093028232828843=154500199270762649390624096718116043331664607407248992726331*3004155909917838534518784539008087283871015639145256391150442042312246326788707416762757814353

cado polynomial
n: 464142686722745340584875603187502457411514811527611553534963221118191014197348831891220028736852891836264497194345563592210127154892374031093028232828843
skew: 0.40
type: snfs
c0: 7
c5: 650
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 650*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: 3004155909917838534518784539008087283871015639145256391150442042312246326788707416762757814353 154500199270762649390624096718116043331664607407248992726331
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: 5.81/2.33258
Info:Generate Free Relations: Total cpu/real time for freerel: 102.53/26.4068
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 30964820
Info:Lattice Sieving: Average J: 1895.18 for 4555696 special-q, max bucket fill -bkmult 1.0,1s:1.113690
Info:Lattice Sieving: Total time: 1.17099e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 59.58/154.713
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 153.89999999999998s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 532.29/535.279
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 468.59999999999997s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 463.04/545.454
Info:Filtering - Merging: Merged matrix has 2914822 rows and total weight 501627396 (172.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 403.71/173.605
Info:Filtering - Merging: Total cpu/real time for replay: 113/99.3802
Info:Linear Algebra: Total cpu/real time for bwc: 160008/40829.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 26104.96, iteration CPU time 0.27, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (91136 iterations)
Info:Linear Algebra: Lingen CPU time 607.41, WCT time 175.04
Info:Linear Algebra: Mksol: WCT time 14217.65, iteration CPU time 0.3, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (45568 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 100.56/43.1292
Info:Square Root: Total cpu/real time for sqrt: 839.63/266.273
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.32408e+06/628789
Info:root: Cleaning up computation data in /tmp/cado.6zpvysf3
3004155909917838534518784539008087283871015639145256391150442042312246326788707416762757814353 154500199270762649390624096718116043331664607407248992726331

cado-nfs-3.0.0

6 x 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)

14604470136743711992003208442234116616943504198812624154110250744937150951805482471954106894529188169138921637084253036229448338429620819716492322387366000127131251<164>

6169711486855697338854111302960147268456581<43>
2367123676343359333775115071705940803189862326749955967311815590283020060718559703077102605413200328904153463155290194071<121>

Number: n
N=14604470136743711992003208442234116616943504198812624154110250744937150951805482471954106894529188169138921637084253036229448338429620819716492322387366000127131251
  ( 164 digits)
SNFS difficulty: 198 digits.
Divisors found:

Sun Nov 25 20:43:36 2012  prp43 factor: 6169711486855697338854111302960147268456581
Sun Nov 25 20:43:36 2012  prp121 factor: 2367123676343359333775115071705940803189862326749955967311815590283020060718559703077102605413200328904153463155290194071
Sun Nov 25 20:43:36 2012  elapsed time 07:37:26 (Msieve 1.44 - dependency 2)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.096).
Factorization parameters were as follows:
name: KA_72223_197
n: 14604470136743711992003208442234116616943504198812624154110250744937150951805482471954106894529188169138921637084253036229448338429620819716492322387366000127131251
m: 1000000000000000000000000000000000000000
#  c164, diff: 198.81
skew: 0.255
deg: 5
c5: 6500
c0: 7
# Murphy_E = 1.513e-11
type: snfs
lss: 1
rlim: 14400000
alim: 14400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 14400000/14400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 64200000)
Primes: RFBsize:934441, AFBsize:932875,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 4002767 hash collisions in 31521203 relations (29294458 unique)
Msieve: matrix is 2251918 x 2252143 (636.1 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14400000,14400000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5660.56 BogoMIPS (lpj=2830282)
Calibrating delay using timer specific routine.. 5660.90 BogoMIPS (lpj=2830452)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830458)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830459)
Total of 4 processors activated (22643.30 BogoMIPS).

5403807023100080283587782116126146392334801229541979203546272667727482370157942337823025958972868979131224130399843237121207128736842492770815854080413016276242727420062184578677320402236619<190>

1857422443646461804004533126195852255862943353<46>
2909304257404908617736421035216363307298630434718956401255332986844695822913790217206298505069631077287048033756416036016372120160538477581671523<145>

N=5403807023100080283587782116126146392334801229541979203546272667727482370157942337823025958972868979131224130399843237121207128736842492770815854080413016276242727420062184578677320402236619
  ( 190 digits)
SNFS difficulty: 199 digits.
Divisors found:
 r1=1857422443646461804004533126195852255862943353 (pp46)
 r2=2909304257404908617736421035216363307298630434718956401255332986844695822913790217206298505069631077287048033756416036016372120160538477581671523 (pp145)
Version: Msieve v. 1.49
Total time:
Scaled time: 78.68 units (timescale=0.625).
Factorization parameters were as follows:
n: 5403807023100080283587782116126146392334801229541979203546272667727482370157942337823025958972868979131224130399843237121207128736842492770815854080413016276242727420062184578677320402236619
m: 1000000000000000000000000000000000000000
deg: 5
c5: 65000
c0: 7
skew: 0.16
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [7500000, 19500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2706959 x 2707183
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,199.000,5,0,0,0,0,0,0,0,0,15000000,15000000,28,28,55,55,2.5,2.5,100000
total time:

2192373445386446159292097653762615511078340885179461470685039212352882523130578498116804364714658400311014673550857990145080280053785256476503276052469579897917563566475858222982430917987<187>

56008036091892942359792301591215493858715217<44>
4963138169698660263207643172319626599564078096411676249<55>
7886927032243482168332551427767195774074878228896410728245603189611657187204512978016939<88>

Number: n
N=2192373445386446159292097653762615511078340885179461470685039212352882523130578498116804364714658400311014673550857990145080280053785256476503276052469579897917563566475858222982430917987
  ( 187 digits)
SNFS difficulty: 200 digits.
Divisors found:

Sun Sep 16 02:52:23 2012  prp44 factor: 56008036091892942359792301591215493858715217
Sun Sep 16 02:52:23 2012  prp55 factor: 4963138169698660263207643172319626599564078096411676249
Sun Sep 16 02:52:23 2012  prp88 factor: 7886927032243482168332551427767195774074878228896410728245603189611657187204512978016939
Sun Sep 16 02:52:23 2012  elapsed time 05:44:38 (Msieve 1.44 - dependency 3)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.082).
Factorization parameters were as follows:
name: KA_72223_199
n: 2192373445386446159292097653762615511078340885179461470685039212352882523130578498116804364714658400311014673550857990145080280053785256476503276052469579897917563566475858222982430917987
m: 5000000000000000000000000000000000000000
#  c187, diff: 200.81
skew: 0.507
deg: 5
c5: 208
c0: 7
# Murphy_E = 1.481e-11
type: snfs
lss: 1
rlim: 15600000
alim: 15600000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 15600000/15600000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 19200000)
Primes: RFBsize:1006966, AFBsize:1007882,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9704835 hash collisions in 68849447 relations (60591495 unique)
Msieve: matrix is 1831498 x 1831724 (517.1 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,200,5,0,0,0,0,0,0,0,0,15600000,15600000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.42 BogoMIPS (lpj=2830713)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830455)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830461)
Total of 4 processors activated (22644.15 BogoMIPS).

139413836348122816475758270803018785533746868379684176923548316966027339800693226989787594761467249845428189058188540984795769825120578439077368782494651116683599020036313942103956903<183>

803490353560382377284800853066400209987069465741423986923331115035450702861162924858933<87>
173510280155025972289592644494014527226110604805283283415459039178776807689218986315752157018091<96>

Number: n
N=139413836348122816475758270803018785533746868379684176923548316966027339800693226989787594761467249845428189058188540984795769825120578439077368782494651116683599020036313942103956903
  ( 183 digits)
SNFS difficulty: 201 digits.
Divisors found:

Fri Sep 21 01:34:56 2012  prp87 factor: 803490353560382377284800853066400209987069465741423986923331115035450702861162924858933
Fri Sep 21 01:34:56 2012  prp96 factor: 173510280155025972289592644494014527226110604805283283415459039178776807689218986315752157018091
Fri Sep 21 01:34:56 2012  elapsed time 06:02:57 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.100).
Factorization parameters were as follows:
name: KA_72223_200
n: 139413836348122816475758270803018785533746868379684176923548316966027339800693226989787594761467249845428189058188540984795769825120578439077368782494651116683599020036313942103956903
m: 10000000000000000000000000000000000000000
#  c183, diff: 201.81
skew: 0.64
deg: 5
c5: 65
c0: 7
# Murphy_E = 1.346e-11
type: snfs
lss: 1
rlim: 16200000
alim: 16200000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 16200000/16200000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 23300000)
Primes: RFBsize:1043113, AFBsize:1042980,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9099014 hash collisions in 61463033 relations (54664143 unique)
Msieve: matrix is 2010631 x 2010856 (567.2 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,16200000,16200000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.42 BogoMIPS (lpj=2830713)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830455)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830461)
Total of 4 processors activated (22644.15 BogoMIPS).

3523113531674570616825900887318780177722306771588929263956540448947660240676374895266737141910509127671449295247849177844257468544047538263679618043460864316521465137051757217629935671831<187>

22645215349336610902432133661097942218242995781<47>
2446028514816938506957106736717500929393237091932834358807407<61>
63604620811982234420491185158007344382450060404228478227201698239440393152642693<80>

#
# N = 65x10^201+7 = 72(200)3
#
n: 3523113531674570616825900887318780177722306771588929263956540448947660240676374895266737141910509127671449295247849177844257468544047538263679618043460864316521465137051757217629935671831
m: 10000000000000000000000000000000000000000
deg: 5
c5: 650
c0: 7
skew: 0.40
# Murphy_E = 1.14e-11
type: snfs
lss: 1
rlim: 16800000
alim: 16800000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 3523113531674570616825900887318780177722306771588929263956540448947660240676374895266737141910509127671449295247849177844257468544047538263679618043460864316521465137051757217629935671831
 (187 digits)
Using B1=51080000, B2=288592384096, polynomial Dickson(12), sigma=1:2824006405
Step 1 took 137553ms
Step 2 took 45313ms
********** Factor found in step 2: 22645215349336610902432133661097942218242995781
Found prime factor of 47 digits: 22645215349336610902432133661097942218242995781
Composite cofactor 155578716180227442215667389333667764992527316179736251993427414659865014165414068259094021632757583977749357937491679553950955042241872827051 has 141 digits



CADO:

N = 155578716180227442215667389333667764992527316179736251993427414659865014165414068259094021632757583977749357937491679553950955042241872827051
lim0 = 16496796
lim1 = 20245449
lpb0 = 28
lpb1 = 28
name = c140
slaves.basepath = /tmp/cado.fbgttyd8/client
slaves.hostnames = localhost
slaves.nrclients = 8
slaves.scriptpath = /home/bob/cado-nfs/cado-nfs-2.3.0
tasks.I = 13
tasks.execpath = /home/bob/cado-nfs/cado-nfs-2.3.0/build/linux-6
tasks.threads = 16
tasks.workdir = /tmp/cado.fbgttyd8
tasks.filter.maxlevel = 25
tasks.filter.target_density = 170.0
tasks.filter.purge.keep = 160
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.bwc.cpubinding = /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/misc/cpubinding.conf
tasks.linalg.bwc.interleaving = 0
tasks.linalg.bwc.interval = 1000
tasks.linalg.characters.nchar = 50
tasks.polyselect.P = 200000
tasks.polyselect.admax = 4e5
tasks.polyselect.adrange = 4e3
tasks.polyselect.degree = 5
tasks.polyselect.incr = 60
tasks.polyselect.nq = 3125
tasks.polyselect.nrkeep = 100
tasks.polyselect.ropteffort = 10
tasks.polyselect.threads = 2
tasks.sieve.lambda0 = 2.10
tasks.sieve.lambda1 = 2.29
tasks.sieve.mfb0 = 62
tasks.sieve.mfb1 = 61
tasks.sieve.ncurves0 = 10
tasks.sieve.ncurves1 = 13
tasks.sieve.qrange = 10000
tasks.sieve.las.threads = 2
tasks.sqrt.threads = 8



Info:Quadratic Characters: Starting
Info:Square Root: Starting
Info:Square Root: Creating file of (a,b) values
Info:Square Root: finished
Info:Square Root: Factors: 2446028514816938506957106736717500929393237091932834358807407 63604620811982234420491185158007344382450060404228478227201698239440393152642693
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 65655.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 66489/42.190/50.484/55.890/0.956
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 66489/40.640/45.273/51.150/1.324
Info:Polynomial Selection (size optimized): Total time: 27847.9
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 3547.63
Info:Polynomial Selection (root optimized): Rootsieve time: 3546.69
Info:Generate Factor Base: Total cpu/real time for makefb: 26.6/2.40171
Info:Generate Free Relations: Total cpu/real time for freerel: 301.54/20.0242
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25440094
Info:Lattice Sieving: Average J: 3787.74 for 952005 special-q, max bucket fill: 0.709229
Info:Lattice Sieving: Total CPU time: 901117s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 69.17/91.1867
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 90.89999999999999s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 456.58/173.917
Info:Filtering - Singleton removal: Total cpu/real time for purge: 238.33/127.523
Info:Filtering - Merging: Total cpu/real time for merge: 1040.93/873.527
Info:Filtering - Merging: Total cpu/real time for replay: 83.73/65.8675
Info:Linear Algebra: Total cpu/real time for bwc: 142576/0.000296354
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 6151.94
Info:Linear Algebra: Lingen CPU time 572.77, WCT time 55.44
Info:Linear Algebra: Mksol: WCT time 3356.69
Info:Quadratic Characters: Total cpu/real time for characters: 85.37/20.9048
Info:Square Root: Total cpu/real time for sqrt: 2796.56/382.8
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 1.08019e+06/71357.7
Info:root: Cleaning up computation data in /tmp/cado.nk1ak2ud
2446028514816938506957106736717500929393237091932834358807407 63604620811982234420491185158007344382450060404228478227201698239440393152642693

1799317160856374046343701459625693018610637334636726466765589619038897165388363223068381437026104576589661005124972761863471805841291060236536075262851<151>

92189186224083686264321547017330786878757942651<47>

19517659657856019283637972531168314297126308912540678328500863591863254779645450766592311502548360290201<104>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3554458842
Step 1 took 21360ms
Step 2 took 10640ms
********** Factor found in step 2: 92189186224083686264321547017330786878757942651
Found prime factor of 47 digits: 92189186224083686264321547017330786878757942651
Composite cofactor 19517659657856019283637972531168314297126308912540678328500863591863254779645450766592311502548360290201 has 104 digits
 

GMP-ECM

19517659657856019283637972531168314297126308912540678328500863591863254779645450766592311502548360290201<104>

6785830136920862366129455979244159741397935331511<49>
2876237580964906183628668170859342498175917343176415791<55>

N=19517659657856019283637972531168314297126308912540678328500863591863254779645450766592311502548360290201
  ( 104 digits)
Divisors found:
p49 factor: 6785830136920862366129455979244159741397935331511
p55 factor: 2876237580964906183628668170859342498175917343176415791
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 4.23 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 19517659657856019283637972531168314297126308912540678328500863591863254779645450766592311502548360290201
skew: 640989.79
c0: 1172369630591682718432696809
c1: -9083675983186948880218
c2: 3991099392856771
c3: 53648703878
c4: 11760
Y0: -6382696986945352806205168
Y1: 11308630121389
rlim: 2360000
alim: 2360000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 2360000/2360000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1180000, 1680001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 242760 x 242987
Total sieving time: 4.14 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,103,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2360000,2360000,26,26,52,52,2.5,2.5,100000
total time: 4.23 hours.

1382087950669620698675207186676360859957562551759866535310454976939413093015292970616647529226208599383838836537110233369034942084000118967563190886669600479057290520034900182246578463<184>

7024961383007402492369574471269125943<37>

196739579809326381806941152892584410262878650104117273158626578102753282321708733904938840077723652265306919386153793132865676583532357073689143641<147>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3169988549
Step 1 took 30882ms
Step 2 took 10899ms
********** Factor found in step 2: 7024961383007402492369574471269125943
Found probable prime factor of 37 digits: 7024961383007402492369574471269125943

196739579809326381806941152892584410262878650104117273158626578102753282321708733904938840077723652265306919386153793132865676583532357073689143641<147>

9713015742998367816858283432257468960448981<43>
20255251820336665760049878488028042311797768911099767083803445079594956054398995890886169113672411391861<104>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 196739579809326381806941152892584410262878650104117273158626578102753282321708733904938840077723652265306919386153793132865676583532357073689143641 (147 digits)
Using B1=44260000, B2=240492041806, polynomial Dickson(12), sigma=1:2522902799
Step 1 took 89761ms
Step 2 took 32943ms
********** Factor found in step 2: 9713015742998367816858283432257468960448981
Found prime factor of 43 digits: 9713015742998367816858283432257468960448981
Prime cofactor 20255251820336665760049878488028042311797768911099767083803445079594956054398995890886169113672411391861 has 104 digits

4841963111734421693560177556858846159229485599149769135339879936506998581632601358913874927618771377212891623444255482925032430530282768351651088530400121894925235463331853092969953<181>

48386677952760029700722355522747414975550976482023303039639001<62>
100068103796289465145797452619522500246463626176280921648055113162741616423496035798041390559481923310878188056039002953<120>

Number: n
N=4841963111734421693560177556858846159229485599149769135339879936506998581632601358913874927618771377212891623444255482925032430530282768351651088530400121894925235463331853092969953  ( 181 digits)
SNFS difficulty: 205 digits.
Divisors found:

Sat Oct 30 17:57:07 2021  p62 factor: 48386677952760029700722355522747414975550976482023303039639001
Sat Oct 30 17:57:07 2021  p120 factor: 100068103796289465145797452619522500246463626176280921648055113162741616423496035798041390559481923310878188056039002953
Sat Oct 30 17:57:07 2021  elapsed time 01:55:11 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.323).
Factorization parameters were as follows:
#
# N = 65x10^204+7 = 72(203)3
#
n: 4841963111734421693560177556858846159229485599149769135339879936506998581632601358913874927618771377212891623444255482925032430530282768351651088530400121894925235463331853092969953
m: 10000000000000000000000000000000000
deg: 6
c6: 65
c0: 7
skew: 0.69
# Murphy_E = 9.157e-12
type: snfs
lss: 1
rlim: 18900000
alim: 18900000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18900000/18900000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 43850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10051192 hash collisions in 65967204 relations (58911613 unique)
Msieve: matrix is 2190903 x 2191130 (753.5 MB)

Sieving start time : 2021/10/30 01:50:55
Sieving end time  : 2021/10/30 16:00:46

Total sieving time: 14hrs 9min 51secs.

Total relation processing time: 1hrs 32min 29sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 12sec.

Prototype def-par.txt line would be:
snfs,205,6,0,0,0,0,0,0,0,0,18900000,18900000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118892] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2728K init, 4972K bss, 487280K reserved, 0K cma-reserved)
[    0.152618] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.04 BogoMIPS (lpj=12798084)
[    0.150210] smpboot: Total of 16 processors activated (102384.67 BogoMIPS)

1239477547037850078148119654670267355007005425200315675193942632466892032424236135468096186824706530180362047329401477091096423024158178121493570210373192425084062980958830472889870872567997012207<196>

243681194371047141948557544375727<33>

5086471897172866027981094182809269996321681820857190879838867078768927736555817555189475343134455259131763759107706306449649175935719781068074528054473580290306241<163>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3046961802
Step 1 took 12293ms
Step 2 took 7082ms
********** Factor found in step 2: 243681194371047141948557544375727
Found probable prime factor of 33 digits: 243681194371047141948557544375727
Composite cofactor 5086471897172866027981094182809269996321681820857190879838867078768927736555817555189475343134455259131763759107706306449649175935719781068074528054473580290306241 has 163 digits

GMP-ECM 6.3

5086471897172866027981094182809269996321681820857190879838867078768927736555817555189475343134455259131763759107706306449649175935719781068074528054473580290306241<163>

2159373633096504458371831004183424753999598444436269694522419<61>
2355531168489333299360548816244800279598962628811518396327098030900938001692451561080666308664922510139<103>

Number: n
N=5086471897172866027981094182809269996321681820857190879838867078768927736555817555189475343134455259131763759107706306449649175935719781068074528054473580290306241  ( 163 digits)
SNFS difficulty: 207 digits.
Divisors found:

Sat Nov 16 14:32:47 2024  prp61 factor: 2159373633096504458371831004183424753999598444436269694522419
Sat Nov 16 14:32:47 2024  prp103 factor: 2355531168489333299360548816244800279598962628811518396327098030900938001692451561080666308664922510139
Sat Nov 16 14:32:47 2024  elapsed time 03:08:11 (Msieve 1.44 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.130).
Factorization parameters were as follows:
#
# N = 65x10^206+7 = 72(205)3
#
n: 5086471897172866027981094182809269996321681820857190879838867078768927736555817555189475343134455259131763759107706306449649175935719781068074528054473580290306241
m: 100000000000000000000000000000000000000000
deg: 5
c5: 650
c0: 7
skew: 0.40
# Murphy_E = 7.019e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
q0: 50000
qintsize: 50000
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [50000, 56050000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8700430 hash collisions in 28292175 relations (17537888 unique)
Msieve: matrix is 2378044 x 2378269 (669.5 MB)

Sieving start time: 2024/11/15 05:03:02
Sieving end time  : 2024/11/16 11:17:48

Total sieving time: 30hrs 14min 46secs.

Total relation processing time: 2hrs 59min 6sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 54sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,20000000,20000000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

19720643162783032740548232605635762378928999834774076567607300478161625237491797562787679892827833048162488139970378919670001945557042870050991204818091917830240696398841095767052230723715617<191>

803508752611575031818449117537<30>

24543159111443069167767046560175769783198662411334682235755090292705254069350471608231367276576774691168424076483281768481745341560832783690966058889236360091841<161>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=857418346
Step 1 took 10187ms
Step 2 took 6162ms
********** Factor found in step 2: 803508752611575031818449117537
Found probable prime factor of 30 digits: 803508752611575031818449117537
Composite cofactor 24543159111443069167767046560175769783198662411334682235755090292705254069350471608231367276576774691168424076483281768481745341560832783690966058889236360091841 has 161 digits

GMP-ECM 6.3

86228699404155760008933116374288279628683299177712398458739540659129069114132634669787541434672407762862567161440449649957186646332229175228689360999950870689460038834862759768824137771056303199299<197>

195947330060247151010078503549731286494144191648894467<54>
3664868738298291098985077740806099019523646301155409091<55>
120075405218392086364315468084900671646485827871582425996336460700245203841285205378689067<90>

#
# N = 65x10^209+7 = 72(208)3
#
n: 86228699404155760008933116374288279628683299177712398458739540659129069114132634669787541434672407762862567161440449649957186646332229175228689360999950870689460038834862759768824137771056303199299
m: 500000000000000000000000000000000000000000
deg: 5
c5: 208
c0: 7
skew: 0.51
# Murphy_E = 5.607e-12
type: snfs
lss: 1
rlim: 23000000
alim: 23000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
#
# 197-b 72223_209   65 * 10 ^ 209 + 7  9        86228699404155760008933116374288279628683299177712398458739540659129069114132634669787541434672407762862567161440449649957186646332229175228689360999950870
689460038834862759768824137771056303199299
#
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 8622869940415576000893311637428827962868329917771239845873954065912906911413263466978754143467240776286256716144044964995718664633222917522868936099995087068946003883486275976882413777105
6303199299 (197 digits)
Using B1=41410000, B2=192394462276, polynomial Dickson(12), sigma=1:4155674749
Step 1 took 133307ms
Step 2 took 37559ms
********** Factor found in step 2: 3664868738298291098985077740806099019523646301155409091
Found prime factor of 55 digits: 3664868738298291098985077740806099019523646301155409091
Composite cofactor 23528455058446197287005859651061442226293662514837493900233829769948220053306332684006912082002535390850358115961587324068435592449772289692289 has 143 digits

#
# CADO factors:
#
PID227406 2021-04-28 08:57:56,652 Debug:Command: Process with PID 275536 finished successfully
PID227406 2021-04-28 08:57:56,674 Info:Square Root: finished
PID227406 2021-04-28 08:57:56,675 Info:Square Root: Factors: 195947330060247151010078503549731286494144191648894467 120075405218392086364315468084900671646485827871582425996336460700245203841285205378689
067
PID227406 2021-04-28 08:57:56,675 Debug:Square Root: Exit SqrtTask.run(sqrt)
PID227406 2021-04-28 08:57:56,675 Info:Square Root: Total cpu/real time for sqrt: 4310.66/607.623
PID227406 2021-04-28 08:57:56,675 Info:Polynomial Selection (size optimized): Aggregate statistics:
PID227406 2021-04-28 08:57:56,675 Info:Polynomial Selection (size optimized): potential collisions: 77228.6
PID227406 2021-04-28 08:57:56,675 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 78325/42.720/51.302/56.890/0.946
PID227406 2021-04-28 08:57:56,675 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 78325/41.630/45.870/52.240/1.199
PID227406 2021-04-28 08:57:56,675 Info:Polynomial Selection (size optimized): Total time: 51050.2
PID227406 2021-04-28 08:57:56,675 Info:Polynomial Selection (root optimized): Aggregate statistics:
PID227406 2021-04-28 08:57:56,675 Info:Polynomial Selection (root optimized): Total time: 1605.1
PID227406 2021-04-28 08:57:56,675 Info:Polynomial Selection (root optimized): Rootsieve time: 1604.21
PID227406 2021-04-28 08:57:56,675 Info:Generate Factor Base: Total cpu/real time for makefb: 25.79/2.31231
PID227406 2021-04-28 08:57:56,676 Info:Generate Free Relations: Total cpu/real time for freerel: 620.81/42.4358
PID227406 2021-04-28 08:57:56,676 Info:Lattice Sieving: Aggregate statistics:
PID227406 2021-04-28 08:57:56,676 Info:Lattice Sieving: Total number of relations: 48627579
PID227406 2021-04-28 08:57:56,676 Info:Lattice Sieving: Average J: 3800.21 for 916691 special-q, max bucket fill: 0.724081
PID227406 2021-04-28 08:57:56,676 Info:Lattice Sieving: Total CPU time: 2.41107e+06s
PID227406 2021-04-28 08:57:56,676 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 130.86/181.408
PID227406 2021-04-28 08:57:56,676 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
PID227406 2021-04-28 08:57:56,676 Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 181.3s
PID227406 2021-04-28 08:57:56,676 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 843.44/266.625
PID227406 2021-04-28 08:57:56,676 Info:Filtering - Singleton removal: Total cpu/real time for purge: 436.1/187.583
PID227406 2021-04-28 08:57:56,676 Info:Filtering - Merging: Total cpu/real time for merge: 1463.09/1224.44
PID227406 2021-04-28 08:57:56,676 Info:Filtering - Merging: Total cpu/real time for replay: 125.37/100.044
PID227406 2021-04-28 08:57:56,676 Info:Linear Algebra: Total cpu/real time for bwc: 316978/0.000246048
PID227406 2021-04-28 08:57:56,676 Info:Linear Algebra: Aggregate statistics:
PID227406 2021-04-28 08:57:56,677 Info:Linear Algebra: Krylov: WCT time 13825.92
PID227406 2021-04-28 08:57:56,677 Info:Linear Algebra: Lingen CPU time 799.21, WCT time 77.11
PID227406 2021-04-28 08:57:56,677 Info:Linear Algebra: Mksol: WCT time 7516.98
PID227406 2021-04-28 08:57:56,677 Info:Quadratic Characters: Total cpu/real time for characters: 134.72/31.6767
PID227406 2021-04-28 08:57:56,677 Info:Square Root: Total cpu/real time for sqrt: 4310.66/607.623
PID227406 2021-04-28 08:57:56,677 Info:HTTP server: Shutting down HTTP server
PID227406 2021-04-28 08:57:57,115 Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 2.78879e+06/182297
PID227406 2021-04-28 08:57:57,116 Info:root: Cleaning up computation data in /tmp/cado.4w5ec9ze

98583664148379212312359445478037748152266989242123996074595319202100331698515457017792913999609289746849325120207185351225636086532440222226997186023602211215323510957713550278261564305653933<191>

2707839491011671268961463300231341768521<40>
36406760620640604734108421506675755802415989704731148189745879924574899712139840152897427906660282445016643694392621473682174852060350197259126020923973<152>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3735920156
Step 1 took 119336ms
Step 2 took 38060ms
********** Factor found in step 2: 2707839491011671268961463300231341768521
Found probable prime factor of 40 digits: 2707839491011671268961463300231341768521

1395015031200266200247048981001775341641211472695337885386006304378790294047411618037133554931223868679416784492659653905782064345956809425334357005555789242656679815232676601631<178>

587254760089602152172868638390743801<36>

2375485268075847708365121167001608069433367572031731609859455793522729964581531456637198093361211694808133752729818101187103210810626757103831<142>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3635367275
Step 1 took 10249ms
Step 2 took 6069ms
********** Factor found in step 2: 587254760089602152172868638390743801
Found probable prime factor of 36 digits: 587254760089602152172868638390743801
Composite cofactor 2375485268075847708365121167001608069433367572031731609859455793522729964581531456637198093361211694808133752729818101187103210810626757103831 has 142 digits

GMP-ECM 6.3

2375485268075847708365121167001608069433367572031731609859455793522729964581531456637198093361211694808133752729818101187103210810626757103831<142>

10496778183892999173809534838582881<35>
144906099639082082636323365200994374463101849<45>
1561743311364832469461681524333547054806400726445002606166853199<64>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1924071424
Step 1 took 5288ms
Step 2 took 4134ms
********** Factor found in step 2: 10496778183892999173809534838582881
Found probable prime factor of 35 digits: 10496778183892999173809534838582881
Composite cofactor 226306131887302406908614055304135285905776372823567618341232904055588167609449154755193737008590944968464951 has 108 digits

N = 226306131887302406908614055304135285905776372823567618341232904055588167609449154755193737008590944968464951 (108 digits)
Divisors found:
r1=144906099639082082636323365200994374463101849 (pp45)
r2=1561743311364832469461681524333547054806400726445002606166853199 (pp64)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 2.08 hours.
Factorization parameters were as follows:
n: 226306131887302406908614055304135285905776372823567618341232904055588167609449154755193737008590944968464951
Y0: -554420810548122466974
Y1: 146008188569
c0: 71456319470123344909151311
c1: 6598168191968302538080
c2: -433834164094934038
c3: -24174756870715
c4: 564982206
c5: 4320
skew: 31282.72  
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: 5423662
Relations: 419270 relations
Pruned matrix : 268983 x 269209
Polynomial selection time: 0.00 hours.
Total sieving time: 1.99 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
time per square root: 0.02 hours.
Prototype def-par.txt line would be: gnfs,107,5,59,2000,0.0006,0.25,200,15,15000,2000,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 2.08 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

GMP-ECM 6.3

209613416292821193392905171900553167444191590443266923136395478198413937359692929875852363224983974829251328523746617858353127081474594516319897446908772550413051266569274186182216466079501269<192>

185224324165528094149412898258850913280461199787106305919040857993006744830266194431585087878453148682383008624257957754992963884267910991729414049357731330227781789117798499379411583324167<189>

5665338125295509080683272707294863521<37>

32694310572304389773490849579088048654182153727375714852885938319683695831565386112953339506005297021164028066984762333913691006799445115358765959817127<152>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=770124280
Step 1 took 31957ms
Step 2 took 11464ms
********** Factor found in step 2: 5665338125295509080683272707294863521
Found probable prime factor of 37 digits: 5665338125295509080683272707294863521

146981775538702164621917161329974737334469480634888414680792945276552888507445356279660066844349994809687109983294964995363185722768674089405910831722135259<156>

249011861181231885727566644619406620323379127248468616397336403961325663111854403383945029971706314238576069806124399933485163553023643992117652722031879710078105869<165>

2634734089208961353520763564542610175217798641334653818717656278778501661042742739030017628221902180892747801363085917904912307634765622262395057517050436007604577832977422569958453379805966249<193>

15869680487652835552217066123163357971<38>

166023133941409613787224037992544384079496368767817835525189436538672114168064329504045645614412099510598902724448810956718737753988450954866384505510628819<156>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=742611546
Step 1 took 33266ms
Step 2 took 11857ms
********** Factor found in step 2: 15869680487652835552217066123163357971
Found probable prime factor of 38 digits: 15869680487652835552217066123163357971

166023133941409613787224037992544384079496368767817835525189436538672114168064329504045645614412099510598902724448810956718737753988450954866384505510628819<156>

23137172114291401153722750495072693350416532347411989365433536257<65>
7175601803076885523969283502542751394533876923554230317376725373071170386613598033676742867<91>

Number: 72223_220
N = 166023133941409613787224037992544384079496368767817835525189436538672114168064329504045645614412099510598902724448810956718737753988450954866384505510628819 (156 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=23137172114291401153722750495072693350416532347411989365433536257 (pp65)
r2=7175601803076885523969283502542751394533876923554230317376725373071170386613598033676742867 (pp91)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 62.30 hours.
Factorization parameters were as follows:
n: 166023133941409613787224037992544384079496368767817835525189436538672114168064329504045645614412099510598902724448810956718737753988450954866384505510628819
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 65
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: 8184326 relations
Pruned matrix : 7178960 x 7179185
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 30.33 hours.
Total relation processing time: 0.31 hours.
Matrix solve time: 31.04 hours.
time per square root: 0.62 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: 62.30 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 8, speed: 3.50GHz

GgNFS, NFS_factory, Msieve

3549290816272398291920800902752736134588567128357297135372173741870497425852357662548523728846623594985434126063044120773499550672738167425445414667239773<154>

2393264731240399403780503984889905738991453<43>
206146947894985112136113944195390548971922943<45>
7194058007190066068711581862900075688822105776637167131388013221887<67>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3785969771
Step 1 took 56387ms
Step 2 took 29357ms
********** Factor found in step 2: 2393264731240399403780503984889905738991453
Found probable prime factor of 43 digits: 2393264731240399403780503984889905738991453
Composite cofactor 1483033101161710981071894520499729152178025402754587805353449858634619033691241153155174717905252009615325053441 has 112 digits

GNFS
prp67 = 7194058007190066068711581862900075688822105776637167131388013221887
prp45 = 206146947894985112136113944195390548971922943
NFS elapsed time = 5042.3457 seconds.

59618754021576361174008229936560842223304042296802606340545514897566742654602288038114089360425499910593377326788707417504200656553938129789169033590991683884825617218700090052181<179>

2337288745055735346997482919813016900395541172240201366414958647968356706220783890686803308162531463502337288745055735346997482919813016900395541172240201366414958647968356706220783890686803308162531463502337288745055735347<223>

225934639264693600970157803697115296667342180294680045319<57>
10344977435343528787904790731401602086596330151721349024889843038609104647887774355779686962117007434166482327631635190569187814183827184786044964883575697416594589813<167>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2532198938
Step 1 took 119975ms
Step 2 took 36510ms
********** Factor found in step 2: 225934639264693600970157803697115296667342180294680045319
Found probable prime factor of 57 digits: 225934639264693600970157803697115296667342180294680045319

2258333927553487793944618946918444243141425722451142146158530811115091905587207502824171812987773084568796585894880147936311770985737962710988942918551545274398169323176728652390644513558774639272153<199>

20509507616446456609497309980981538773196884676497934834341860009327233277527357117108147628555254790182444005324485761729013060458616953703511499387794723494497739233916843293600626200329638619409585277<203>

153502697975828114793244570194672667<36>
133610079085880719201604737767964605439619076921065184449119494354553254476536131304948965863171396635062112733518937302899756147161244843631502135194278276766563797831<168>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=972279645
Step 1 took 35122ms
Step 2 took 12238ms
********** Factor found in step 2: 153502697975828114793244570194672667
Found probable prime factor of 36 digits: 153502697975828114793244570194672667

3914311140796462136434783876085490621396421854046280207658444908137512815406569178258940656117078577173389109947152528586736734024601681780225238603950290186580502412961077755148267549534388267547073324087663<208>

8335754419517354910381781303306450798332219321323336167961913586116181761895411921726660209895870531273223485235538997041400467590677577739625567737760590403134492161521052254496359683199668874683346666489752353999<214>

85659406707451228578086261925228178094298062064330545951285420402518488318082649456186745501506298131915691048870945901565254492058744670660748335925409444726049177296510568668924206957274341403364012019<203>

2442334490988368686204428811557969277194926927648856529171794779549294187204093691550957070563085063849885083145242438907946997334165500192212075174950091758410035766054240303727642967285629557005807321559710279171<214>

8236914095902646456324276134676338881755296583581611380585755836118264911120898216927585080688840753695042520255566199477936967951338184818700832604505439526731209902626203001685615190908778168710383346254631<208>

1152292263864291880948708812199406835397709242979437787740673966881347579211229354024956877677971540153839881012528076044198385727176192578174166316547094184824133609174373729154589757362704376760569622384961345026440675562362943699<232>

4322867701291443983808402036776810699760857<43>
266557374291155837033974274080074931892809296070763909821851094484167739330256706075264922915889553712442055886671267030947166305618658126422779465460129106363659399356194428389471556276107<189>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=391970292
Step 1 took 44169ms
Step 2 took 14811ms
********** Factor found in step 2: 4322867701291443983808402036776810699760857
Found probable prime factor of 43 digits: 4322867701291443983808402036776810699760857

10876801510760868722770546238018278635215952080153985981816129887689587093712516991884464552064670035188476493433672686761493405083075996854002541690384956245030440641958693558620491<182>

232044494196500042353072397116138692001<39>
46873775430112855276389216365006123569535785416754686416879409295458091218336589393957902240888396448151717892532247269598807591451410644848491<143>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1015311009
Step 1 took 32410ms
Step 2 took 10988ms
********** Factor found in step 2: 232044494196500042353072397116138692001
Found probable prime factor of 39 digits: 232044494196500042353072397116138692001

1510424316814658144231294060950484336330029317246568441345295042534993544197856143805299432393851076531881308956685462340606565235735678509127260648718190782417356954922890356873608181260460064377981992043479215123294638350877<226>

17885020837221071800550160656658305057<38>

84451918203599027018237828111419849152577875080196642495278357188535136235432063515463803367363865966601446440096826136307172372716131753315303499957351167642891212025407691701559693083261<188>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=318200786
Step 1 took 42310ms
Step 2 took 14397ms
********** Factor found in step 2: 17885020837221071800550160656658305057
Found probable prime factor of 38 digits: 17885020837221071800550160656658305057

8656753323854799869753882480081117498481668655814979932440322032024647197029574741998343336246315953391777641888039197051969321534237184095370435980133375915028756440588338924858339316574540058923202637348737<208>

10150455621971299925150253152423363590414550856891782028140119733449236292745489023128278563025311904475660685616066151211067458066928704141839708978821749366355881274554768002739950805907<188>

1696281137970867594708557179089469<34>

5983946525582144792189414365150771180821662703354823879563848248610098167756870108845876964949014641746435672283989285687826882501308976910768555465087503<154>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=297034466
Step 1 took 8580ms
Step 2 took 5398ms
********** Factor found in step 2: 1696281137970867594708557179089469
Found probable prime factor of 34 digits: 1696281137970867594708557179089469
Composite cofactor 5983946525582144792189414365150771180821662703354823879563848248610098167756870108845876964949014641746435672283989285687826882501308976910768555465087503 has 154 digits

GMP-ECM 6.3

2667053011224787620105104383750162033154449709786412409703591517516800833328443872102417164408644187930038660898408740910025951665030978877920492456935687276159407475860055689982855472336677497799017194253978678254865405361<223>

18263902016199401291539355552869<32>
1124875039648699164962999439880526726363717<43>

129817666783170962449805455960480375456556132965002526619772782436617227174359848421913637258311793659081198616686414920360471427699420342355819878457<150>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=596026418
Step 1 took 11450ms
Step 2 took 6474ms
********** Factor found in step 2: 1124875039648699164962999439880526726363717
Found probable prime factor of 43 digits: 1124875039648699164962999439880526726363717
Composite cofactor 2370977146099458186380852152350621267443857569483933235022346479618378940527633858692110671486623999633238459257569304416355567214817480949008299115361388353941937376451955617643133 has 181 digits

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3914132280
Step 1 took 8611ms
Step 2 took 5226ms
********** Factor found in step 2: 18263902016199401291539355552869
Found probable prime factor of 32 digits: 18263902016199401291539355552869
Composite cofactor 129817666783170962449805455960480375456556132965002526619772782436617227174359848421913637258311793659081198616686414920360471427699420342355819878457 has 150 digits

GMP-ECM 6.3

129817666783170962449805455960480375456556132965002526619772782436617227174359848421913637258311793659081198616686414920360471427699420342355819878457<150>

2102566791387466632448419655029903561085790971150084562135149<61>
61742469877737080442278649390467103244337617054848672724667378258844197673925682100250493<89>

Thu May 26 06:54:34 2022  
Thu May 26 06:54:34 2022  
Thu May 26 06:54:34 2022  Msieve v. 1.53 (SVN 988)
Thu May 26 06:54:34 2022  random seeds: 85e8fbe0 e55239de
Thu May 26 06:54:34 2022  factoring 129817666783170962449805455960480375456556132965002526619772782436617227174359848421913637258311793659081198616686414920360471427699420342355819878457 (150 digits)
Thu May 26 06:54:35 2022  searching for 15-digit factors
Thu May 26 06:54:35 2022  commencing number field sieve (150-digit input)
Thu May 26 06:54:35 2022  R0: -164298396051191790722449606195
Thu May 26 06:54:35 2022  R1: 93233641257001561513
Thu May 26 06:54:35 2022  A0: 34617515787230129839625730867644402988
Thu May 26 06:54:35 2022  A1: 3081739492886546863251106667244
Thu May 26 06:54:35 2022  A2: -21474125538701418035417899
Thu May 26 06:54:35 2022  A3: -312685900016742871
Thu May 26 06:54:35 2022  A4: 15495420378
Thu May 26 06:54:35 2022  A5: 2160
Thu May 26 06:54:35 2022  skew 1.00, size 1.804e-014, alpha -7.962, combined = 3.371e-014 rroots = 3
Thu May 26 06:54:35 2022  
Thu May 26 06:54:35 2022  commencing relation filtering
Thu May 26 06:54:35 2022  setting target matrix density to 130.0
Thu May 26 06:54:35 2022  estimated available RAM is 12041.5 MB
Thu May 26 06:54:35 2022  commencing duplicate removal, pass 1
Thu May 26 07:01:34 2022  error -15 reading relation 33454209
Thu May 26 07:01:34 2022  error -1 reading relation 33468646
Thu May 26 07:02:06 2022  error -1 reading relation 36006286
Thu May 26 07:02:11 2022  error -5 reading relation 36385981
Thu May 26 07:03:48 2022  error -9 reading relation 43829560
Thu May 26 07:05:01 2022  error -15 reading relation 49518968
Thu May 26 07:07:57 2022  skipped 5 relations with composite factors
Thu May 26 07:07:57 2022  found 10729626 hash collisions in 63076961 relations
Thu May 26 07:08:33 2022  added 121405 free relations
Thu May 26 07:08:33 2022  commencing duplicate removal, pass 2
Thu May 26 07:09:23 2022  found 9554919 duplicates and 53643447 unique relations
Thu May 26 07:09:23 2022  memory use: 330.4 MB
Thu May 26 07:09:23 2022  reading ideals above 720000
Thu May 26 07:09:23 2022  commencing singleton removal, initial pass
Thu May 26 07:20:21 2022  memory use: 1378.0 MB
Thu May 26 07:20:21 2022  reading all ideals from disk
Thu May 26 07:20:25 2022  memory use: 1868.4 MB
Thu May 26 07:20:32 2022  keeping 46913982 ideals with weight <= 200, target excess is 286291
Thu May 26 07:20:38 2022  commencing in-memory singleton removal
Thu May 26 07:20:43 2022  begin with 53643447 relations and 46913982 unique ideals
Thu May 26 07:21:26 2022  reduce to 36129068 relations and 27718851 ideals in 13 passes
Thu May 26 07:21:26 2022  max relations containing the same ideal: 169
Thu May 26 07:21:44 2022  removing 4259120 relations and 3259120 ideals in 1000000 cliques
Thu May 26 07:21:46 2022  commencing in-memory singleton removal
Thu May 26 07:21:49 2022  begin with 31869948 relations and 27718851 unique ideals
Thu May 26 07:22:10 2022  reduce to 31477348 relations and 24053886 ideals in 8 passes
Thu May 26 07:22:10 2022  max relations containing the same ideal: 149
Thu May 26 07:22:26 2022  removing 3356998 relations and 2356998 ideals in 1000000 cliques
Thu May 26 07:22:28 2022  commencing in-memory singleton removal
Thu May 26 07:22:30 2022  begin with 28120350 relations and 24053886 unique ideals
Thu May 26 07:22:46 2022  reduce to 27847425 relations and 21415481 ideals in 7 passes
Thu May 26 07:22:46 2022  max relations containing the same ideal: 140
Thu May 26 07:23:01 2022  removing 3113820 relations and 2113820 ideals in 1000000 cliques
Thu May 26 07:23:02 2022  commencing in-memory singleton removal
Thu May 26 07:23:05 2022  begin with 24733605 relations and 21415481 unique ideals
Thu May 26 07:23:19 2022  reduce to 24484969 relations and 19044879 ideals in 7 passes
Thu May 26 07:23:19 2022  max relations containing the same ideal: 128
Thu May 26 07:23:31 2022  removing 2994234 relations and 1994234 ideals in 1000000 cliques
Thu May 26 07:23:33 2022  commencing in-memory singleton removal
Thu May 26 07:23:35 2022  begin with 21490735 relations and 19044879 unique ideals
Thu May 26 07:23:46 2022  reduce to 21245123 relations and 16796200 ideals in 7 passes
Thu May 26 07:23:46 2022  max relations containing the same ideal: 116
Thu May 26 07:23:58 2022  removing 2926898 relations and 1926898 ideals in 1000000 cliques
Thu May 26 07:23:59 2022  commencing in-memory singleton removal
Thu May 26 07:24:01 2022  begin with 18318225 relations and 16796200 unique ideals
Thu May 26 07:24:09 2022  reduce to 18059743 relations and 14600430 ideals in 6 passes
Thu May 26 07:24:09 2022  max relations containing the same ideal: 102
Thu May 26 07:24:19 2022  removing 2888525 relations and 1888525 ideals in 1000000 cliques
Thu May 26 07:24:20 2022  commencing in-memory singleton removal
Thu May 26 07:24:22 2022  begin with 15171218 relations and 14600430 unique ideals
Thu May 26 07:24:30 2022  reduce to 14884416 relations and 12411549 ideals in 7 passes
Thu May 26 07:24:30 2022  max relations containing the same ideal: 92
Thu May 26 07:24:38 2022  removing 2871663 relations and 1871663 ideals in 1000000 cliques
Thu May 26 07:24:39 2022  commencing in-memory singleton removal
Thu May 26 07:24:40 2022  begin with 12012753 relations and 12411549 unique ideals
Thu May 26 07:24:46 2022  reduce to 11672318 relations and 10180420 ideals in 7 passes
Thu May 26 07:24:46 2022  max relations containing the same ideal: 78
Thu May 26 07:24:53 2022  removing 2869886 relations and 1869886 ideals in 1000000 cliques
Thu May 26 07:24:53 2022  commencing in-memory singleton removal
Thu May 26 07:24:54 2022  begin with 8802432 relations and 10180420 unique ideals
Thu May 26 07:24:59 2022  reduce to 8373672 relations and 7850100 ideals in 8 passes
Thu May 26 07:24:59 2022  max relations containing the same ideal: 60
Thu May 26 07:25:04 2022  removing 770273 relations and 578799 ideals in 191474 cliques
Thu May 26 07:25:04 2022  commencing in-memory singleton removal
Thu May 26 07:25:05 2022  begin with 7603399 relations and 7850100 unique ideals
Thu May 26 07:25:09 2022  reduce to 7549526 relations and 7216254 ideals in 7 passes
Thu May 26 07:25:09 2022  max relations containing the same ideal: 58
Thu May 26 07:25:14 2022  relations with 0 large ideals: 858
Thu May 26 07:25:14 2022  relations with 1 large ideals: 5814
Thu May 26 07:25:14 2022  relations with 2 large ideals: 76364
Thu May 26 07:25:14 2022  relations with 3 large ideals: 427097
Thu May 26 07:25:14 2022  relations with 4 large ideals: 1225558
Thu May 26 07:25:14 2022  relations with 5 large ideals: 2012192
Thu May 26 07:25:14 2022  relations with 6 large ideals: 2009580
Thu May 26 07:25:14 2022  relations with 7+ large ideals: 1792063
Thu May 26 07:25:14 2022  commencing 2-way merge
Thu May 26 07:25:19 2022  reduce to 4874670 relation sets and 4541398 unique ideals
Thu May 26 07:25:19 2022  commencing full merge
Thu May 26 07:27:35 2022  memory use: 607.3 MB
Thu May 26 07:27:36 2022  found 2164804 cycles, need 2143598
Thu May 26 07:27:36 2022  weight of 2143598 cycles is about 279056935 (130.18/cycle)
Thu May 26 07:27:36 2022  distribution of cycle lengths:
Thu May 26 07:27:36 2022  1 relations: 46641
Thu May 26 07:27:36 2022  2 relations: 101489
Thu May 26 07:27:36 2022  3 relations: 128461
Thu May 26 07:27:36 2022  4 relations: 140552
Thu May 26 07:27:36 2022  5 relations: 149992
Thu May 26 07:27:36 2022  6 relations: 153957
Thu May 26 07:27:36 2022  7 relations: 155779
Thu May 26 07:27:36 2022  8 relations: 151479
Thu May 26 07:27:36 2022  9 relations: 144879
Thu May 26 07:27:36 2022  10+ relations: 970369
Thu May 26 07:27:36 2022  heaviest cycle: 28 relations
Thu May 26 07:27:37 2022  commencing cycle optimization
Thu May 26 07:27:42 2022  start with 20608865 relations
Thu May 26 07:28:49 2022  pruned 1105438 relations
Thu May 26 07:28:49 2022  memory use: 522.5 MB
Thu May 26 07:28:49 2022  distribution of cycle lengths:
Thu May 26 07:28:49 2022  1 relations: 46641
Thu May 26 07:28:49 2022  2 relations: 104579
Thu May 26 07:28:49 2022  3 relations: 134697
Thu May 26 07:28:49 2022  4 relations: 147424
Thu May 26 07:28:49 2022  5 relations: 159598
Thu May 26 07:28:49 2022  6 relations: 163486
Thu May 26 07:28:49 2022  7 relations: 166226
Thu May 26 07:28:49 2022  8 relations: 160856
Thu May 26 07:28:49 2022  9 relations: 153992
Thu May 26 07:28:49 2022  10+ relations: 906099
Thu May 26 07:28:49 2022  heaviest cycle: 28 relations
Thu May 26 07:28:52 2022  RelProcTime: 2057
Thu May 26 07:28:52 2022  
Thu May 26 07:28:52 2022  commencing linear algebra
Thu May 26 07:28:53 2022  read 2143598 cycles
Thu May 26 07:28:59 2022  cycles contain 7376387 unique relations
Thu May 26 07:30:22 2022  read 7376387 relations
Thu May 26 07:30:38 2022  using 20 quadratic characters above 4294917295
Thu May 26 07:31:29 2022  building initial matrix
Thu May 26 07:33:55 2022  memory use: 1014.0 MB
Thu May 26 07:33:58 2022  read 2143598 cycles
Thu May 26 07:33:58 2022  matrix is 2143419 x 2143598 (1071.1 MB) with weight 328483905 (153.24/col)
Thu May 26 07:33:58 2022  sparse part has weight 255057638 (118.99/col)
Thu May 26 07:34:31 2022  filtering completed in 2 passes
Thu May 26 07:34:32 2022  matrix is 2143375 x 2143554 (1071.1 MB) with weight 328481659 (153.24/col)
Thu May 26 07:34:32 2022  sparse part has weight 255056998 (118.99/col)
Thu May 26 07:34:40 2022  matrix starts at (0, 0)
Thu May 26 07:34:41 2022  matrix is 2143375 x 2143554 (1071.1 MB) with weight 328481659 (153.24/col)
Thu May 26 07:34:41 2022  sparse part has weight 255056998 (118.99/col)
Thu May 26 07:34:41 2022  saving the first 48 matrix rows for later
Thu May 26 07:34:42 2022  matrix includes 64 packed rows
Thu May 26 07:34:42 2022  matrix is 2143327 x 2143554 (1041.1 MB) with weight 281825306 (131.48/col)
Thu May 26 07:34:42 2022  sparse part has weight 251491522 (117.32/col)
Thu May 26 07:34:42 2022  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
Thu May 26 07:35:02 2022  commencing Lanczos iteration (6 threads)
Thu May 26 07:35:02 2022  memory use: 850.6 MB
Thu May 26 07:35:11 2022  linear algebra at 0.1%, ETA 3h 8m
Thu May 26 07:35:15 2022  checkpointing every 610000 dimensions
Thu May 26 11:07:05 2022  lanczos halted after 33899 iterations (dim = 2143327)
Thu May 26 11:07:08 2022  recovered 29 nontrivial dependencies
Thu May 26 11:07:09 2022  BLanczosTime: 13097
Thu May 26 11:07:09 2022  
Thu May 26 11:07:09 2022  commencing square root phase
Thu May 26 11:07:09 2022  handling dependencies 1 to 64
Thu May 26 11:07:09 2022  reading relations for dependency 1
Thu May 26 11:07:09 2022  read 1072335 cycles
Thu May 26 11:07:12 2022  cycles contain 3691534 unique relations
Thu May 26 11:08:00 2022  read 3691534 relations
Thu May 26 11:08:22 2022  multiplying 3691534 relations
Thu May 26 11:11:56 2022  multiply complete, coefficients have about 173.95 million bits
Thu May 26 11:11:57 2022  initial square root is modulo 1748711
Thu May 26 11:16:02 2022  sqrtTime: 533
Thu May 26 11:16:02 2022  p61 factor: 2102566791387466632448419655029903561085790971150084562135149
Thu May 26 11:16:02 2022  p89 factor: 61742469877737080442278649390467103244337617054848672724667378258844197673925682100250493
Thu May 26 11:16:02 2022  elapsed time 04:21:28

Msieve v. 1.53 (SVN 988)

Core i7-10750H with 16 GB memory, Windows 10

7222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223<247>

17268044166578737329822980916589249367027788169329<50>

418242051766371995620668783407457238379808693746093034558327811328814651311387478162968111956540859723729724997438974257702137820144846992335539274427606385081389314121899977533710383507126516671487<198>

GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
Input number is 7222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223 (247 digits)
[Tue Oct 01 22:21:59 2013]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=3688288219
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35    40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+007        3.6e+008
Step 1 took 792329ms
Using 29 small primes for NTT
Estimated memory usage: 841M
Initializing tables of differences for F took 531ms
Computing roots of F took 24367ms
Building F from its roots took 20670ms
Computing 1/F took 8066ms
Initializing table of differences for G took 453ms
Computing roots of G took 20529ms
Building G from its roots took 19516ms
Computing roots of G took 20452ms
Building G from its roots took 19390ms
Computing G * H took 4649ms
Reducing  G * H mod F took 4415ms
Computing roots of G took 20326ms
Building G from its roots took 19298ms
Computing G * H took 4587ms
Reducing  G * H mod F took 4305ms
Computing roots of G took 20421ms
Building G from its roots took 19859ms
Computing G * H took 4696ms
Reducing  G * H mod F took 4337ms
Computing polyeval(F,G) took 38283ms
Computing product of all F(g_i) took 187ms
Step 2 took 280723ms
********** Factor found in step 2: 17268044166578737329822980916589249367027788169329
Found probable prime factor of 50 digits: 17268044166578737329822980916589249367027788169329
Composite cofactor 418242051766371995620668783407457238379808693746093034558327811328814651311387478162968111956540859723729724997438974257702137820144846992335539274427606385081389314121899977533710383507126516671487 has 198 digits

GMP-ECM

9888293406737524852157677273070259195925818599755274542489167514003785365744623131380353449793400773952182460947089732840620270907751003340895701422667904121<157>

55821438930822163317091367115512504988881984008013810948059029128373043835969<77>
177141499684230472580237210794478285055760291123104109730231768487345853722071609<81>

p77 factor: 55821438930822163317091367115512504988881984008013810948059029128373043835969
p81 factor: 177141499684230472580237210794478285055760291123104109730231768487345853722071609

Complete log at: https://pastebin.com/Z12nv0gb

GGNFS + Msieve

7297832100598695704107250725798714854173854287970162870348528402343652669216001290649809638556126878605330876508057394991286104207521757588586028081406733620190814325979089923248876032820988568323332292600112170195331<217>

3253556838802870708897041036352533588467578637118488201220745885768601344735629967623262278366780198472119815305822366021990808452899458320355384841897447870652129188591957515767067096548703175898074034608548710842644402092979<226>

3744979317094633807970762702208946396097564018022143276953817941073790561167688959149593191654797115735369818423350310823118018315346969746187666479808661977443292248500599895265434279983722231912053575958735785455491776312389679<229>

150777081883553699837624681048480630944096497332405474367896079795871027603804221758292739503595453491069357457666434701925307353282301090234284388772906518209232196706100672697749942008814660171653908605891904430526559962885641382509858501507770818835537<255>

31368028401264622284374275453639055730266951405501255562547235099065744374312228140644911509290019505361456540509907636705978436396139948072571618948095292171924339324461591460676187796401009885470108304984497<209>