3077833405341810712476113127305730040923642415776050685760519168938813056630980470762313930543303<97>

123290814675728514277867589716453613<36>
24964012229434350382875423100742889170251821341837628816240131<62>

Number: 79993_102
N=3077833405341810712476113127305730040923642415776050685760519168938813056630980470762313930543303
  ( 97 digits)
SNFS difficulty: 102 digits.
Divisors found:
 r1=123290814675728514277867589716453613 (pp36)
 r2=24964012229434350382875423100742889170251821341837628816240131 (pp62)
Version: GGNFS-0.77.1-20060513-k8
Total time: 0.89 hours.
Scaled time: 1.79 units (timescale=1.999).
Factorization parameters were as follows:
name: 79993_102
n: 3077833405341810712476113127305730040923642415776050685760519168938813056630980470762313930543303
m: 200000000000000000000
c5: 25
c0: -7
skew: 0.78
type: snfs
Factor base limits: 450000/500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [250000, 310001)
Primes: RFBsize:37706, AFBsize:41317, largePrimes:1576393 encountered
Relations: rels:1849951, finalFF:427438
Max relations in full relation-set: 28
Initial matrix: 79087 x 427438 with sparse part having weight 15779526.
Pruned matrix : 37970 x 38429 with weight 2534723.
Total sieving time: 0.84 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,102,5,0,0,0,0,0,0,0,0,450000,500000,25,25,44,44,2.2,2.2,20000
total time: 0.89 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

374547992691324672010178946818039861713393421705423703090741037387853600337071824490467<87>

11645958539351398837968999925860551<35>
32161199219947116795810535309580815458905862060506117<53>

Sat Oct 13 14:18:15 2007  Msieve v. 1.28
Sat Oct 13 14:18:15 2007  random seeds: fd6310c0 0e9f8101
Sat Oct 13 14:18:15 2007  factoring 374547992691324672010178946818039861713393421705423703090741037387853600337071824490467 (87 digits)
Sat Oct 13 14:18:15 2007  commencing quadratic sieve (87-digit input)
Sat Oct 13 14:18:15 2007  using multiplier of 7
Sat Oct 13 14:18:15 2007  using 64kb Athlon XP sieve core
Sat Oct 13 14:18:15 2007  sieve interval: 10 blocks of size 65536
Sat Oct 13 14:18:15 2007  processing polynomials in batches of 11
Sat Oct 13 14:18:15 2007  using a sieve bound of 1483429 (56667 primes)
Sat Oct 13 14:18:15 2007  using large prime bound of 118674320 (26 bits)
Sat Oct 13 14:18:15 2007  using double large prime bound of 341855144981120 (42-49 bits)
Sat Oct 13 14:18:15 2007  using trial factoring cutoff of 49 bits
Sat Oct 13 14:18:15 2007  polynomial 'A' values have 11 factors
Sat Oct 13 15:27:24 2007  56771 relations (15604 full + 41167 combined from 595942 partial), need 56763
Sat Oct 13 15:27:25 2007  begin with 611546 relations
Sat Oct 13 15:27:25 2007  reduce to 136916 relations in 9 passes
Sat Oct 13 15:27:25 2007  attempting to read 136916 relations
Sat Oct 13 15:27:27 2007  recovered 136916 relations
Sat Oct 13 15:27:27 2007  recovered 116979 polynomials
Sat Oct 13 15:27:28 2007  attempting to build 56771 cycles
Sat Oct 13 15:27:28 2007  found 56771 cycles in 6 passes
Sat Oct 13 15:27:28 2007  distribution of cycle lengths:
Sat Oct 13 15:27:28 2007     length 1 : 15604
Sat Oct 13 15:27:28 2007     length 2 : 10981
Sat Oct 13 15:27:28 2007     length 3 : 9938
Sat Oct 13 15:27:28 2007     length 4 : 7431
Sat Oct 13 15:27:28 2007     length 5 : 5307
Sat Oct 13 15:27:28 2007     length 6 : 3290
Sat Oct 13 15:27:28 2007     length 7 : 1927
Sat Oct 13 15:27:28 2007     length 9+: 2293
Sat Oct 13 15:27:28 2007  largest cycle: 20 relations
Sat Oct 13 15:27:29 2007  matrix is 56667 x 56771 with weight 3278330 (avg 57.75/col)
Sat Oct 13 15:27:30 2007  filtering completed in 4 passes
Sat Oct 13 15:27:30 2007  matrix is 52445 x 52509 with weight 3068265 (avg 58.43/col)
Sat Oct 13 15:27:31 2007  saving the first 48 matrix rows for later
Sat Oct 13 15:27:31 2007  matrix is 52397 x 52509 with weight 2467820 (avg 47.00/col)
Sat Oct 13 15:27:31 2007  matrix includes 64 packed rows
Sat Oct 13 15:27:31 2007  using block size 10922 for processor cache size 256 kB
Sat Oct 13 15:27:32 2007  commencing Lanczos iteration
Sat Oct 13 15:28:04 2007  lanczos halted after 830 iterations
Sat Oct 13 15:28:04 2007  recovered 18 nontrivial dependencies
Sat Oct 13 15:28:05 2007  prp35 factor: 11645958539351398837968999925860551
Sat Oct 13 15:28:05 2007  prp53 factor: 32161199219947116795810535309580815458905862060506117
Sat Oct 13 15:28:05 2007  elapsed time 01:09:50

29317544513127637059005073107012633156477405810349541305000972214868654912800710809869<86>

3412752588243064179197971634430268240789861<43>
8590585972779452282610598329176427275489929<43>

Sat Oct 13 14:21:54 2007  Msieve v. 1.28
Sat Oct 13 14:21:54 2007  random seeds: 71c0a470 a1018f8f
Sat Oct 13 14:21:54 2007  factoring 29317544513127637059005073107012633156477405810349541305000972214868654912800710809869 (86 digits)
Sat Oct 13 14:21:54 2007  commencing quadratic sieve (85-digit input)
Sat Oct 13 14:21:54 2007  using multiplier of 1
Sat Oct 13 14:21:54 2007  using 64kb Opteron sieve core
Sat Oct 13 14:21:54 2007  sieve interval: 7 blocks of size 65536
Sat Oct 13 14:21:54 2007  processing polynomials in batches of 15
Sat Oct 13 14:21:54 2007  using a sieve bound of 1442579 (55333 primes)
Sat Oct 13 14:21:54 2007  using large prime bound of 115406320 (26 bits)
Sat Oct 13 14:21:54 2007  using double large prime bound of 325097179907280 (41-49 bits)
Sat Oct 13 14:21:54 2007  using trial factoring cutoff of 49 bits
Sat Oct 13 14:21:54 2007  polynomial 'A' values have 11 factors
Sat Oct 13 14:54:41 2007  55598 relations (16566 full + 39032 combined from 566706 partial), need 55429
Sat Oct 13 14:54:42 2007  begin with 583272 relations
Sat Oct 13 14:54:43 2007  reduce to 129047 relations in 9 passes
Sat Oct 13 14:54:43 2007  attempting to read 129047 relations
Sat Oct 13 14:54:44 2007  recovered 129047 relations
Sat Oct 13 14:54:44 2007  recovered 103401 polynomials
Sat Oct 13 14:54:45 2007  attempting to build 55598 cycles
Sat Oct 13 14:54:45 2007  found 55598 cycles in 5 passes
Sat Oct 13 14:54:45 2007  distribution of cycle lengths:
Sat Oct 13 14:54:45 2007     length 1 : 16566
Sat Oct 13 14:54:46 2007     length 2 : 11426
Sat Oct 13 14:54:46 2007     length 3 : 9845
Sat Oct 13 14:54:46 2007     length 4 : 7055
Sat Oct 13 14:54:46 2007     length 5 : 4727
Sat Oct 13 14:54:46 2007     length 6 : 2766
Sat Oct 13 14:54:46 2007     length 7 : 1568
Sat Oct 13 14:54:46 2007     length 9+: 1645
Sat Oct 13 14:54:46 2007  largest cycle: 19 relations
Sat Oct 13 14:54:46 2007  matrix is 55333 x 55598 with weight 2843187 (avg 51.14/col)
Sat Oct 13 14:54:47 2007  filtering completed in 3 passes
Sat Oct 13 14:54:47 2007  matrix is 49684 x 49748 with weight 2566866 (avg 51.60/col)
Sat Oct 13 14:54:48 2007  saving the first 48 matrix rows for later
Sat Oct 13 14:54:48 2007  matrix is 49636 x 49748 with weight 1895227 (avg 38.10/col)
Sat Oct 13 14:54:48 2007  matrix includes 64 packed rows
Sat Oct 13 14:54:48 2007  commencing Lanczos iteration
Sat Oct 13 14:56:13 2007  lanczos halted after 786 iterations
Sat Oct 13 14:56:13 2007  recovered 16 nontrivial dependencies
Sat Oct 13 14:56:14 2007  prp43 factor: 3412752588243064179197971634430268240789861
Sat Oct 13 14:56:14 2007  prp43 factor: 8590585972779452282610598329176427275489929
Sat Oct 13 14:56:14 2007  elapsed time 00:34:20

1947543346544406138446494012197593494161099060936009527105845848444968706122941158047420354746878569<100>

1766907794190056087078782907983423<34>
1102232585621228023273179280338960623464028098584925315433259382103<67>

Number: 79993_113
N=1947543346544406138446494012197593494161099060936009527105845848444968706122941158047420354746878569
  ( 100 digits)
SNFS difficulty: 113 digits.
Divisors found:
 r1=1766907794190056087078782907983423 (pp34)
 r2=1102232585621228023273179280338960623464028098584925315433259382103 (pp67)
Version: GGNFS-0.77.1-20060513-k8
Total time: 4.01 hours.
Scaled time: 7.94 units (timescale=1.983).
Factorization parameters were as follows:
name: 79993_113
n: 1947543346544406138446494012197593494161099060936009527105845848444968706122941158047420354746878569
m: 20000000000000000000000
c5: 250
c0: -7
skew: 0.49
type: snfs
n: 1947543346544406138446494012197593494161099060936009527105845848444968706122941158047420354746878569
m: 20000000000000000000000
c5: 250
c0: -7
skew: 0.49
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 550001)
Primes: RFBsize:49098, AFBsize:64168, largePrimes:2727503 encountered
Relations: rels:3846323, finalFF:1205129
Max relations in full relation-set: 28
Initial matrix: 113332 x 1205129 with sparse part having weight 90876931.
Pruned matrix : 49293 x 49923 with weight 10051860.
Total sieving time: 3.88 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,113,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 4.01 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

34646331568242768854785908039446078435215064959468101202644760634276801591160494336803753871126655437992709<107>

587132704218609332602624273840988912804671457773<48>
59009370997911180303851532975515874983963222792974758349433<59>

Number: 79993_114
N=34646331568242768854785908039446078435215064959468101202644760634276801591160494336803753871126655437992709
  ( 107 digits)
SNFS difficulty: 115 digits.
Divisors found:
 r1=587132704218609332602624273840988912804671457773 (pp48)
 r2=59009370997911180303851532975515874983963222792974758349433 (pp59)
Version: GGNFS-0.77.1-20060513-k8
Total time: 3.32 hours.
Scaled time: 6.61 units (timescale=1.994).
Factorization parameters were as follows:
name: 79993_114
n: 34646331568242768854785908039446078435215064959468101202644760634276801591160494336803753871126655437992709
m: 100000000000000000000000
c5: 4
c0: -35
skew: 1.54
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 550001)
Primes: RFBsize:49098, AFBsize:64193, largePrimes:2486912 encountered
Relations: rels:3148089, finalFF:767372
Max relations in full relation-set: 28
Initial matrix: 113355 x 767372 with sparse part having weight 60310023.
Pruned matrix : 62081 x 62711 with weight 6647029.
Total sieving time: 3.20 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,115,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 3.32 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz,  Windows  Vista)

25806451612903225806451612903225806451612903225806451612903225806451612903225806451612903225806451612903225806451612903<119>

65850038351296212647890397578950381287521<41>
391897290556327270259798161999635360467060860906617319029511693859070848809543<78>

Number: n
N=25806451612903225806451612903225806451612903225806451612903225806451612903225806451612903225806451612903225806451612903
  ( 119 digits)
SNFS difficulty: 120 digits.
Divisors found:
 r1=65850038351296212647890397578950381287521 (pp41)
 r2=391897290556327270259798161999635360467060860906617319029511693859070848809543 (pp78)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 1.48 hours.
Scaled time: 1.94 units (timescale=1.313).
Factorization parameters were as follows:
name: KA_7_9_118_3
n: 25806451612903225806451612903225806451612903225806451612903225806451612903225806451612903225806451612903225806451612903
skew: 1.54
deg: 5
c5: 4
c0: -35
m: 1000000000000000000000000
type: snfs
rlim: 800000
alim: 800000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 200001)
Primes: RFBsize:63951, AFBsize:64193, largePrimes:4027991 encountered
Relations: rels:3391987, finalFF:155362
Max relations in full relation-set: 48
Initial matrix: 128208 x 155362 with sparse part having weight 9403022.
Pruned matrix : 112183 x 112888 with weight 4664374.
Total sieving time: 1.28 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.12 hours.
Total square root time: 0.02 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,120,5,0,0,0,0,0,0,0,0,800000,800000,28,28,48,48,2.5,2.5,50000
total time: 1.48 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

1412107461708955027069290923954737312907713787250726572515699054670309444073066843051334153423<94>

212705206095827642161365792695450030873<39>
6638800655743115255251905310435410068403132728886029351<55>

Number: 79993_128
N=1412107461708955027069290923954737312907713787250726572515699054670309444073066843051334153423
  ( 94 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=212705206095827642161365792695450030873 (pp39)
 r2=6638800655743115255251905310435410068403132728886029351 (pp55)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 5.28 hours.
Scaled time: 3.57 units (timescale=0.676).
Factorization parameters were as follows:
name: 79993_128
n: 1412107461708955027069290923954737312907713787250726572515699054670309444073066843051334153423
m: 20000000000000000000000000
c5: 250
c0: -7
skew: 0.49
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [400000, 950001)
Primes: RFBsize:63951, AFBsize:64168, largePrimes:1487851 encountered
Relations: rels:1489577, finalFF:174328
Max relations in full relation-set: 28
Initial matrix: 128185 x 174328 with sparse part having weight 12264098.
Pruned matrix : 114449 x 115153 with weight 6368258.
Total sieving time: 4.96 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.20 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,128,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 5.28 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

50774727135741302668281681978154025666220800077589563173122909846534600529922377074914069545651920596921487<107>

37274544353516647698335148848851846484864657<44>
1362182369130717145175925548652388406862572932354777517395196191<64>

Number: 79993_131
N=50774727135741302668281681978154025666220800077589563173122909846534600529922377074914069545651920596921487
  ( 107 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=37274544353516647698335148848851846484864657 (pp44)
 r2=1362182369130717145175925548652388406862572932354777517395196191 (pp64)
Version: GGNFS-0.77.1-20060513-k8
Total time: 4.40 hours.
Scaled time: 8.79 units (timescale=1.999).
Factorization parameters were as follows:
name: 79993_131
n: 50774727135741302668281681978154025666220800077589563173122909846534600529922377074914069545651920596921487
m: 200000000000000000000000000
c5: 5
c0: -14
skew: 1.23
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [400000, 950001)
Primes: RFBsize:63951, AFBsize:63943, largePrimes:1469981 encountered
Relations: rels:1455868, finalFF:158326
Max relations in full relation-set: 28
Initial matrix: 127959 x 158326 with sparse part having weight 11756685.
Pruned matrix : 119410 x 120113 with weight 7188237.
Total sieving time: 4.24 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,132,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 4.40 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

18508899975309508283025996892062552559124843281306774880121900716696676128531676413045071788063922916268433<107>

48003731369287073342189922196135629754309<41>
385572109653783210030204978859579938448033879962204411809558451037<66>

Number: 79993_134
N=18508899975309508283025996892062552559124843281306774880121900716696676128531676413045071788063922916268433
  ( 107 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=48003731369287073342189922196135629754309 (pp41)
 r2=385572109653783210030204978859579938448033879962204411809558451037 (pp66)
Version: GGNFS-0.77.1-20060513-k8
Total time: 5.87 hours.
Scaled time: 11.71 units (timescale=1.996).
Factorization parameters were as follows:
name: 79993_134
n: 18508899975309508283025996892062552559124843281306774880121900716696676128531676413045071788063922916268433
m: 1000000000000000000000000000
c5: 4
c0: -35
skew: 1.54
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [400000, 1075001)
Primes: RFBsize:78498, AFBsize:64193, largePrimes:1523402 encountered
Relations: rels:1537466, finalFF:188576
Max relations in full relation-set: 28
Initial matrix: 142755 x 188576 with sparse part having weight 13498820.
Pruned matrix : 126954 x 127731 with weight 7386006.
Total sieving time: 5.68 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,135,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 5.87 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

994470736500895131291624755886395172525421692165650373010779297212968520824895570611922816043828312385730107<108>

110918576820312746668279691257635716599183<42>
8965772596523034939022478706473281787255547555025279231551238868629<67>

Number: 79993_136
N=994470736500895131291624755886395172525421692165650373010779297212968520824895570611922816043828312385730107
  ( 108 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=110918576820312746668279691257635716599183 (pp42)
 r2=8965772596523034939022478706473281787255547555025279231551238868629 (pp67)
Version: GGNFS-0.77.1-20060513-k8
Total time: 7.91 hours.
Scaled time: 15.72 units (timescale=1.988).
Factorization parameters were as follows:
name: 79993_136
n: 994470736500895131291624755886395172525421692165650373010779297212968520824895570611922816043828312385730107
m: 2000000000000000000000000000
c5: 5
c0: -14
skew: 1.23
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [400000, 1375001)
Primes: RFBsize:78498, AFBsize:63943, largePrimes:1589559 encountered
Relations: rels:1610836, finalFF:189841
Max relations in full relation-set: 28
Initial matrix: 142506 x 189841 with sparse part having weight 16890095.
Pruned matrix : 128981 x 129757 with weight 9843551.
Total sieving time: 7.67 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,137,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 7.91 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

1099763668623428964057555400254567520253691063597981621885075953108843075523576896430442484976881173696051081207012566599402325461<130>

141316153943199860951746141560760739245162925887<48>
7782292667443130880016248231198064453618474981570509859512503079754219269452839403<82>

Number: 79993_137
N=1099763668623428964057555400254567520253691063597981621885075953108843075523576896430442484976881173696051081207012566599402325461
  ( 130 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=141316153943199860951746141560760739245162925887 (pp48)
 r2=7782292667443130880016248231198064453618474981570509859512503079754219269452839403 (pp82)
Version: GGNFS-0.77.1-20060513-k8
Total time: 6.78 hours.
Scaled time: 13.49 units (timescale=1.990).
Factorization parameters were as follows:
name: 79993_137
n: 1099763668623428964057555400254567520253691063597981621885075953108843075523576896430442484976881173696051081207012566599402325461
m: 2000000000000000000000000000
c5: 25
c0: -7
skew: 0.78
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [400000, 1225001)
Primes: RFBsize:78498, AFBsize:63568, largePrimes:1548308 encountered
Relations: rels:1559004, finalFF:182026
Max relations in full relation-set: 28
Initial matrix: 142130 x 182026 with sparse part having weight 14809823.
Pruned matrix : 129678 x 130452 with weight 8882231.
Total sieving time: 6.56 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,137,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 6.78 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

28001400070003500175008750437521876093804690234511725586279313965698284914245712285614280714035701785089254462723136156807840392019600980049<140>

170295424162300840230361627660073534692518109605861209895558110069<66>
164428376204146486985826323441216525770957734599964780155385367813374589421<75>

Number: n
N=28001400070003500175008750437521876093804690234511725586279313965698284914245712285614280714035701785089254462723136156807840392019600980049
  ( 140 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=170295424162300840230361627660073534692518109605861209895558110069 (pp66)
 r2=164428376204146486985826323441216525770957734599964780155385367813374589421 (pp75)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 7.72 hours.
Scaled time: 9.22 units (timescale=1.194).
Factorization parameters were as follows:
name: KA_7_9_141_3
n: 28001400070003500175008750437521876093804690234511725586279313965698284914245712285614280714035701785089254462723136156807840392019600980049
type: snfs
skew: 0.65
deg: 5
c5: 25
c0: -7
m: 20000000000000000000000000000
rlim: 2000000
alim: 2000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 50000
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 850001)
Primes: RFBsize:148933, AFBsize:148500, largePrimes:5611558 encountered
Relations: rels:4989427, finalFF:361392
Max relations in full relation-set: 28
Initial matrix: 297497 x 361392 with sparse part having weight 17904087.
Pruned matrix : 240103 x 241654 with weight 9277622.
Total sieving time: 6.20 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 1.13 hours.
Total square root time: 0.19 hours, sqrts: 4.
Prototype def-par.txt line would be:
snfs,142,5,0,0,0,0,0,0,0,0,2000000,2000000,28,28,48,48,2.3,2.3,100000
total time: 7.72 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD XP 2700+

3070317901434701737005636645958802200607040503016177760156771811800164613700248026172643912484812419742745714980450551562516093<127>

1580183000642280038370796123881094831961607470495009<52>
1943014132025684712297993803987711508705879519397502794606730636362479155677<76>

Number: 79993_146
N=3070317901434701737005636645958802200607040503016177760156771811800164613700248026172643912484812419742745714980450551562516093
  ( 127 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=1580183000642280038370796123881094831961607470495009 (pp52)
 r2=1943014132025684712297993803987711508705879519397502794606730636362479155677 (pp76)
Version: GGNFS-0.77.1-20060513-k8
Total time: 19.55 hours.
Scaled time: 39.02 units (timescale=1.996).
Factorization parameters were as follows:
name: 79993_146
n: 3070317901434701737005636645958802200607040503016177760156771811800164613700248026172643912484812419742745714980450551562516093
m: 200000000000000000000000000000
c5: 5
c0: -14
skew: 1.23
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [750000, 2850001)
Primes: RFBsize:114155, AFBsize:114392, largePrimes:2881812 encountered
Relations: rels:2895290, finalFF:293370
Max relations in full relation-set: 28
Initial matrix: 228612 x 293370 with sparse part having weight 30568649.
Pruned matrix : 209081 x 210288 with weight 20114196.
Total sieving time: 18.83 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.52 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,147,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000
total time: 19.55 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

7827310904834559223584755757587750335344461821449169367211160089090463613553875031305565495631883<97>

5423671886025109442120246388749<31>
1443175595670302296287530288340641513337370692964945259930652789367<67>

Sun Oct 14 13:22:15 2007  Msieve v. 1.28
Sun Oct 14 13:22:15 2007  random seeds: bb320d00 c465a215
Sun Oct 14 13:22:15 2007  factoring 7827310904834559223584755757587750335344461821449169367211160089090463613553875031305565495631883 (97 digits)
Sun Oct 14 13:22:16 2007  commencing quadratic sieve (97-digit input)
Sun Oct 14 13:22:17 2007  using multiplier of 2
Sun Oct 14 13:22:17 2007  using 64kb Pentium 2 sieve core
Sun Oct 14 13:22:17 2007  sieve interval: 18 blocks of size 65536
Sun Oct 14 13:22:17 2007  processing polynomials in batches of 6
Sun Oct 14 13:22:17 2007  using a sieve bound of 2395621 (88235 primes)
Sun Oct 14 13:22:17 2007  using large prime bound of 359343150 (28 bits)
Sun Oct 14 13:22:17 2007  using double large prime bound of 2511405435485700 (43-52 bits)
Sun Oct 14 13:22:17 2007  using trial factoring cutoff of 52 bits
Sun Oct 14 13:22:17 2007  polynomial 'A' values have 13 factors
Tue Oct 16 05:45:50 2007  88486 relations (21837 full + 66649 combined from 1318373 partial), need 88331
Tue Oct 16 05:46:24 2007  begin with 1340210 relations
Tue Oct 16 05:49:03 2007  reduce to 229420 relations in 11 passes
Tue Oct 16 05:49:04 2007  attempting to read 229420 relations
Tue Oct 16 05:49:50 2007  recovered 229420 relations
Tue Oct 16 05:49:51 2007  recovered 215053 polynomials
Tue Oct 16 05:51:40 2007  attempting to build 88486 cycles
Tue Oct 16 05:51:49 2007  found 88486 cycles in 6 passes
Tue Oct 16 05:51:55 2007  distribution of cycle lengths:
Tue Oct 16 05:51:55 2007     length 1 : 21837
Tue Oct 16 05:51:55 2007     length 2 : 15474
Tue Oct 16 05:51:55 2007     length 3 : 15081
Tue Oct 16 05:51:55 2007     length 4 : 12029
Tue Oct 16 05:51:55 2007     length 5 : 8894
Tue Oct 16 05:51:55 2007     length 6 : 6072
Tue Oct 16 05:51:55 2007     length 7 : 3868
Tue Oct 16 05:51:55 2007     length 9+: 5231
Tue Oct 16 05:51:55 2007  largest cycle: 19 relations
Tue Oct 16 05:52:26 2007  matrix is 88235 x 88486 with weight 5849695 (avg 66.11/col)
Tue Oct 16 05:53:30 2007  filtering completed in 3 passes
Tue Oct 16 05:53:30 2007  matrix is 83979 x 84043 with weight 5585692 (avg 66.46/col)
Tue Oct 16 05:53:34 2007  saving the first 48 matrix rows for later
Tue Oct 16 05:53:35 2007  matrix is 83931 x 84043 with weight 4343397 (avg 51.68/col)
Tue Oct 16 05:53:35 2007  matrix includes 64 packed rows
Tue Oct 16 05:53:35 2007  using block size 10922 for processor cache size 256 kB
Tue Oct 16 05:53:38 2007  commencing Lanczos iteration
Tue Oct 16 05:59:52 2007  lanczos halted after 1329 iterations
Tue Oct 16 05:59:53 2007  recovered 18 nontrivial dependencies
Tue Oct 16 06:24:18 2007  prp31 factor: 5423671886025109442120246388749
Tue Oct 16 06:24:18 2007  prp67 factor: 1443175595670302296287530288340641513337370692964945259930652789367
Tue Oct 16 06:24:18 2007  elapsed time 41:02:03

Pentiu3 750MHz, Windows Me)

3039633449680265926335230629866243286215279582467641725078699207006615408808046094193646027979410320642927781189849969<118>

132196018950577432404812799228403<33>
22993381145741293920904930229003616713749210764279783545611429634014833752788402278923<86>

Number: 79993_152
N=3039633449680265926335230629866243286215279582467641725078699207006615408808046094193646027979410320642927781189849969
  ( 118 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=132196018950577432404812799228403 (pp33)
 r2=22993381145741293920904930229003616713749210764279783545611429634014833752788402278923 (pp86)
Version: GGNFS-0.77.1-20060513-k8
Total time: 21.25 hours.
Scaled time: 42.02 units (timescale=1.978).
Factorization parameters were as follows:
name: 79993_152
n: 3039633449680265926335230629866243286215279582467641725078699207006615408808046094193646027979410320642927781189849969
m: 2000000000000000000000000000000
c5: 25
c0: -7
skew: 0.78
type: snfs
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1200000, 1900001)
Primes: RFBsize:176302, AFBsize:175903, largePrimes:5420804 encountered
Relations: rels:5333741, finalFF:489141
Max relations in full relation-set: 28
Initial matrix: 352269 x 489141 with sparse part having weight 41279494.
Pruned matrix : 285474 x 287299 with weight 22202017.
Total sieving time: 20.13 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.86 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,152,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 21.25 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

820816580996567185191007539581502244659546827539519904025349871845789919446644597905773957606445467018580996135269659249838686378569812452077<141>

45503821118476645834178831665898714663<38>
18038409980107755666629933064361219737535695629711907649346771548449394176944215804284623352754129419979<104>

GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM]
Input number is 820816580996567185191007539581502244659546827539519904025349871845789919446644597905773957606445467018580996135269659249838686378569812452077 (141 digits)
Using B1=1210000, B2=1101542930, polynomial Dickson(6), sigma=297252936
Step 1 took 17745ms
Step 2 took 10375ms
********** Factor found in step 2: 45503821118476645834178831665898714663
Found probable prime factor of 38 digits: 45503821118476645834178831665898714663
Probable prime cofactor 18038409980107755666629933064361219737535695629711907649346771548449394176944215804284623352754129419979 has 104 digits

56238968599364916192824354906296195040092106248699331349662875284930630365782995510575903116148472404164256027791590822905326605756077297<137>

113351694760778508277044308809837<33>
496145811653311910056803679142753059087314051602854121158090203147254006251607995277425635648201231426581<105>

Number: 79993_154
N=56238968599364916192824354906296195040092106248699331349662875284930630365782995510575903116148472404164256027791590822905326605756077297
  ( 137 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=113351694760778508277044308809837 (pp33)
 r2=496145811653311910056803679142753059087314051602854121158090203147254006251607995277425635648201231426581 (pp105)
Version: GGNFS-0.77.1-20060513-k8
Total time: 32.35 hours.
Scaled time: 64.79 units (timescale=2.003).
Factorization parameters were as follows:
name: 79993_154
n: 56238968599364916192824354906296195040092106248699331349662875284930630365782995510575903116148472404164256027791590822905326605756077297
m: 10000000000000000000000000000000
c5: 4
c0: -35
skew: 1.54
type: snfs
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1500000, 2600001)
Primes: RFBsize:216816, AFBsize:216906, largePrimes:5878753 encountered
Relations: rels:6079432, finalFF:757874
Max relations in full relation-set: 28
Initial matrix: 433786 x 757874 with sparse part having weight 61304584.
Pruned matrix : 284596 x 286828 with weight 35456047.
Total sieving time: 30.84 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 1.20 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000
total time: 32.35 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

2170939271532717501787887771947025467482753556964582820892856569651806507508303518706699363818037448964912725918478477349824220002633704329<139>

152487428057225842444645257923753<33>
14236841024808958548325101138045141061138828604047990755202358992513725161786539507007143495539941593140193<107>

Number: 79993_155
N=2170939271532717501787887771947025467482753556964582820892856569651806507508303518706699363818037448964912725918478477349824220002633704329
  ( 139 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=152487428057225842444645257923753 (pp33)
 r2=14236841024808958548325101138045141061138828604047990755202358992513725161786539507007143495539941593140193 (pp107)
Version: GGNFS-0.77.1-20060513-k8
Total time: 32.46 hours.
Scaled time: 64.57 units (timescale=1.989).
Factorization parameters were as follows:
name: 79993_155
n: 2170939271532717501787887771947025467482753556964582820892856569651806507508303518706699363818037448964912725918478477349824220002633704329
m: 10000000000000000000000000000000
c5: 8
c0: -7
skew: 0.97
type: snfs
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1500000, 2600001)
Primes: RFBsize:216816, AFBsize:216531, largePrimes:5864311 encountered
Relations: rels:6046107, finalFF:741412
Max relations in full relation-set: 28
Initial matrix: 433412 x 741412 with sparse part having weight 59974965.
Pruned matrix : 286069 x 288300 with weight 35055031.
Total sieving time: 30.74 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 1.41 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000
total time: 32.46 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

48608620467846913541870107667669010851819834748797120444766932935980545031569810354864742533717415158103700184799645686904547817062501954598199593813<149>

10904285406759073728471842840772332558593<41>
1088070887339914750056094304772577853777226365141<49>
4096933317053668078876000501612735226248308616390449901334401<61>

Number: 79993_156
N=48608620467846913541870107667669010851819834748797120444766932935980545031569810354864742533717415158103700184799645686904547817062501954598199593813
  ( 149 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=10904285406759073728471842840772332558593 (pp41)
 r2=1088070887339914750056094304772577853777226365141 (pp49)
 r3=4096933317053668078876000501612735226248308616390449901334401 (pp61)
Version: GGNFS-0.77.1-20060513-k8
Total time: 40.39 hours.
Scaled time: 80.67 units (timescale=1.997).
Factorization parameters were as follows:
name: 79993_156
n: 48608620467846913541870107667669010851819834748797120444766932935980545031569810354864742533717415158103700184799645686904547817062501954598199593813
m: 20000000000000000000000000000000
c5: 5
c0: -14
skew: 1.23
type: snfs
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1500000, 2800001)
Primes: RFBsize:216816, AFBsize:217381, largePrimes:5747043 encountered
Relations: rels:5780210, finalFF:606107
Max relations in full relation-set: 28
Initial matrix: 434262 x 606107 with sparse part having weight 50764657.
Pruned matrix : 345539 x 347774 with weight 31579083.
Total sieving time: 38.37 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 1.68 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000
total time: 40.39 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

28540908288434340243572900615340141426849017077515115869543700976161255377143717419668797504442722574263007547983496570507801448444624707<137>

578713235026034382304696193140789480917763057<45>
49317877250812105191907662188584024853530218296906864974832385857053714133780682125502798451<92>

Number: 79993_157
N=28540908288434340243572900615340141426849017077515115869543700976161255377143717419668797504442722574263007547983496570507801448444624707
  ( 137 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=578713235026034382304696193140789480917763057 (pp45)
 r2=49317877250812105191907662188584024853530218296906864974832385857053714133780682125502798451 (pp92)
Version: GGNFS-0.77.1-20060513-k8
Total time: 32.59 hours.
Scaled time: 64.80 units (timescale=1.988).
Factorization parameters were as follows:
name: 79993_157
n: 28540908288434340243572900615340141426849017077515115869543700976161255377143717419668797504442722574263007547983496570507801448444624707
m: 20000000000000000000000000000000
c5: 25
c0: -7
skew: 0.78
type: snfs
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1500000, 2600001)
Primes: RFBsize:216816, AFBsize:216906, largePrimes:5533011 encountered
Relations: rels:5442369, finalFF:511459
Max relations in full relation-set: 28
Initial matrix: 433786 x 511459 with sparse part having weight 38990519.
Pruned matrix : 385864 x 388096 with weight 26569740.
Total sieving time: 30.52 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 1.78 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000
total time: 32.59 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

918484500574052812858783008036739380022962112514351320321469575200918484500574052812858783008036739380022962112514351320321469575200918484500574052812858783<156>

346176468096559273822741304052813207109273708583996031665987163333529663757<75>
2653226273941471985206044635089360508906271929143252016829426314360757542050928219<82>

Number: n
N=918484500574052812858783008036739380022962112514351320321469575200918484500574052812858783008036739380022962112514351320321469575200918484500574052812858783
  ( 156 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=346176468096559273822741304052813207109273708583996031665987163333529663757 (pp75)
 r2=2653226273941471985206044635089360508906271929143252016829426314360757542050928219 (pp82)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 41.09 hours.
Scaled time: 53.30 units (timescale=1.297).
Factorization parameters were as follows:
name: KA_7_9_157_3
n: 918484500574052812858783008036739380022962112514351320321469575200918484500574052812858783008036739380022962112514351320321469575200918484500574052812858783
skew: 0.49
deg: 5
c5: 250
c0: -7
m: 20000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1700001)
Primes: RFBsize:216816, AFBsize:217701, largePrimes:7120715 encountered
Relations: rels:6580353, finalFF:493138
Max relations in full relation-set: 48
Initial matrix: 434583 x 493138 with sparse part having weight 42370582.
Pruned matrix : 389862 x 392098 with weight 27989624.
Total sieving time: 36.05 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 4.66 hours.
Total square root time: 0.16 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 41.09 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

190913017642749242910564410472533582793009719859010736470829684110548182866033949107362321884120571116292278284360166953433928584212925288576958230618152487<156>

16454596943744503209146711864636020997566170732129357607128813577870908913<74>
11602412280012005744956049762841701654854199246869403531853864740606458920710587799<83>

Number: n
N=190913017642749242910564410472533582793009719859010736470829684110548182866033949107362321884120571116292278284360166953433928584212925288576958230618152487
  ( 156 digits)
SNFS difficulty: 160 digits.
Divisors found:

Thu Oct 18 14:19:06 2007  prp74 factor: 16454596943744503209146711864636020997566170732129357607128813577870908913
Thu Oct 18 14:19:06 2007  prp83 factor: 11602412280012005744956049762841701654854199246869403531853864740606458920710587799
Thu Oct 18 14:19:06 2007  elapsed time 01:30:26 (Msieve 1.28)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 44.43 hours.
Scaled time: 53.27 units (timescale=1.199).
Factorization parameters were as follows:
name: KA_7_9_159_3
n: 190913017642749242910564410472533582793009719859010736470829684110548182866033949107362321884120571116292278284360166953433928584212925288576958230618152487
type: snfs
skew: 0.97
deg: 5
c5: 8
c0: -7
m: 100000000000000000000000000000000
rlim: 3200000
alim: 3200000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 1900000)
Primes: RFBsize:230209, AFBsize:229842, largePrimes:6910058 encountered
Relations: rels:6394628, finalFF:542880
Max relations in full relation-set: 28
Initial matrix: 460116 x 542880 with sparse part having weight 33147572.
Pruned matrix : 389747 x 392111 with weight 20148312.
Total sieving time: 44.19 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,3200000,3200000,28,28,48,48,2.3,2.3,100000
total time: 44.43 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD XP 2700+

41665225953822000619568717595040558356062958012654461159308411510245494930736049031230987938063485411773501288539791869984896374954659<134>

16147676136454049333700128338546853224145331776821755134693<59>
2580261432154997404112328929704725753375527855692727120431726388111826233063<76>

Number: 79993_162
N=41665225953822000619568717595040558356062958012654461159308411510245494930736049031230987938063485411773501288539791869984896374954659
  ( 134 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=16147676136454049333700128338546853224145331776821755134693 (pp59)
 r2=2580261432154997404112328929704725753375527855692727120431726388111826233063 (pp76)
Version: GGNFS-0.77.1-20060513-k8
Total time: 61.95 hours.
Scaled time: 124.03 units (timescale=2.002).
Factorization parameters were as follows:
name: 79993_162
n: 41665225953822000619568717595040558356062958012654461159308411510245494930736049031230987938063485411773501288539791869984896374954659
m: 200000000000000000000000000000000
c5: 25
c0: -7
skew: 0.78
type: snfs
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2250000, 4150001)
Primes: RFBsize:315948, AFBsize:315706, largePrimes:5839925 encountered
Relations: rels:6045274, finalFF:823077
Max relations in full relation-set: 28
Initial matrix: 631718 x 823077 with sparse part having weight 47717456.
Pruned matrix : 473657 x 476879 with weight 31143738.
Total sieving time: 59.04 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 2.51 hours.
Time per square root: 0.18 hours.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,48,48,2.3,2.3,100000
total time: 61.95 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

30224276884108635845705620161872665740218373338594605309453520593775179206533817870115077142218894679107820860767648488655970203393799663737608783<146>

725182024346650930487852356735252779350207<42>
41678193707764674563769995598226622228791564423366352341260784993112394124120101447997247395973034963569<104>

Number: n
N=30224276884108635845705620161872665740218373338594605309453520593775179206533817870115077142218894679107820860767648488655970203393799663737608783
  ( 146 digits)
SNFS difficulty: 165 digits.
Divisors found:

Thu Dec 20 18:40:55 2007  prp42 factor: 725182024346650930487852356735252779350207
Thu Dec 20 18:40:55 2007  prp104 factor: 41678193707764674563769995598226622228791564423366352341260784993112394124120101447997247395973034963569
Thu Dec 20 18:40:55 2007  elapsed time 02:14:03 (Msieve 1.31)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 113.19 hours.
Scaled time: 198.19 units (timescale=1.751).
Factorization parameters were as follows:
name: KA_7_9_162_3
n: 30224276884108635845705620161872665740218373338594605309453520593775179206533817870115077142218894679107820860767648488655970203393799663737608783
type: snfs
skew: 0.49
deg: 5
c5: 2
c0: -175
m: 1000000000000000000000000000000000
rlim: 3200000
alim: 3200000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 4400001)
Primes: RFBsize:230209, AFBsize:231247, largePrimes:7814161 encountered
Relations: rels:7249012, finalFF:516556
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 112.81 hours.
Total relation processing time: 0.37 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,3200000,3200000,28,28,48,48,2.5,2.5,100000
total time: 113.19 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

13621415987762003925737115669456429853506846533116955465249119119459261411157655645041440367<92>

14107017695779960660551276385083916411<38>
965577295039246891714130651139286441420217189730013597<54>

Sat Oct 13 14:10:21 2007  Msieve v. 1.28
Sat Oct 13 14:10:21 2007  random seeds: d891a068 1d65775f
Sat Oct 13 14:10:21 2007  factoring 13621415987762003925737115669456429853506846533116955465249119119459261411157655645041440367 (92 digits)
Sat Oct 13 14:10:22 2007  commencing quadratic sieve (91-digit input)
Sat Oct 13 14:10:22 2007  using multiplier of 7
Sat Oct 13 14:10:22 2007  using 64kb Pentium 2 sieve core
Sat Oct 13 14:10:22 2007  sieve interval: 18 blocks of size 65536
Sat Oct 13 14:10:22 2007  processing polynomials in batches of 6
Sat Oct 13 14:10:22 2007  using a sieve bound of 1753547 (65651 primes)
Sat Oct 13 14:10:22 2007  using large prime bound of 177108247 (27 bits)
Sat Oct 13 14:10:22 2007  using double large prime bound of 702796695147472 (42-50 bits)
Sat Oct 13 14:10:22 2007  using trial factoring cutoff of 50 bits
Sat Oct 13 14:10:22 2007  polynomial 'A' values have 12 factors
Sun Oct 14 04:42:53 2007  66323 relations (17390 full + 48933 combined from 797713 partial), need 65747
Sun Oct 14 04:43:12 2007  begin with 815103 relations
Sun Oct 14 04:43:18 2007  reduce to 165651 relations in 10 passes
Sun Oct 14 04:43:18 2007  attempting to read 165651 relations
Sun Oct 14 04:43:40 2007  recovered 165651 relations
Sun Oct 14 04:43:40 2007  recovered 143802 polynomials
Sun Oct 14 04:44:26 2007  attempting to build 66323 cycles
Sun Oct 14 04:44:27 2007  found 66323 cycles in 5 passes
Sun Oct 14 04:44:31 2007  distribution of cycle lengths:
Sun Oct 14 04:44:31 2007     length 1 : 17390
Sun Oct 14 04:44:31 2007     length 2 : 12238
Sun Oct 14 04:44:31 2007     length 3 : 11622
Sun Oct 14 04:44:31 2007     length 4 : 8894
Sun Oct 14 04:44:31 2007     length 5 : 6300
Sun Oct 14 04:44:31 2007     length 6 : 4157
Sun Oct 14 04:44:31 2007     length 7 : 2532
Sun Oct 14 04:44:31 2007     length 9+: 3190
Sun Oct 14 04:44:32 2007  largest cycle: 19 relations
Sun Oct 14 04:44:33 2007  matrix is 65651 x 66323 with weight 3988888 (avg 60.14/col)
Sun Oct 14 04:44:40 2007  filtering completed in 4 passes
Sun Oct 14 04:44:40 2007  matrix is 61409 x 61473 with weight 3690038 (avg 60.03/col)
Sun Oct 14 04:44:44 2007  saving the first 48 matrix rows for later
Sun Oct 14 04:44:44 2007  matrix is 61361 x 61473 with weight 2824181 (avg 45.94/col)
Sun Oct 14 04:44:44 2007  matrix includes 64 packed rows
Sun Oct 14 04:44:44 2007  using block size 10922 for processor cache size 256 kB
Sun Oct 14 04:44:47 2007  commencing Lanczos iteration
Sun Oct 14 04:49:15 2007  lanczos halted after 972 iterations
Sun Oct 14 04:49:16 2007  recovered 17 nontrivial dependencies
Sun Oct 14 04:50:10 2007  prp38 factor: 14107017695779960660551276385083916411
Sun Oct 14 04:50:10 2007  prp54 factor: 965577295039246891714130651139286441420217189730013597
Sun Oct 14 04:50:10 2007  elapsed time 14:39:49

Pentium3 750MHz,  Windows Me)

423045242190124065978268840790986080931372264092805157767902165882183318614229422370170273292031889136860171886007619487987078786024585708825505211<147>

1522772221419401839524691150172700628024852433<46>
277812555442990950898376801343060528596613057168376742703741533699762175389406425410348927877185643467<102>

Number: n
N=423045242190124065978268840790986080931372264092805157767902165882183318614229422370170273292031889136860171886007619487987078786024585708825505211
  ( 147 digits)
SNFS difficulty: 167 digits.
Divisors found:

Mon Jan 28 11:47:25 2008  prp46 factor: 1522772221419401839524691150172700628024852433
Mon Jan 28 11:47:25 2008  prp102 factor: 277812555442990950898376801343060528596613057168376742703741533699762175389406425410348927877185643467
Mon Jan 28 11:47:25 2008  elapsed time 02:35:34 (Msieve 1.33)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 73.65 hours.
Scaled time: 129.10 units (timescale=1.753).
Factorization parameters were as follows:
name: KA_7_9_165_3
n: 423045242190124065978268840790986080931372264092805157767902165882183318614229422370170273292031889136860171886007619487987078786024585708825505211
type: snfs
skew: 1.23
deg: 5
c5: 5
c0: -14
m: 2000000000000000000000000000000000
rlim: 3200000
alim: 3200000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 3300001)
Primes: RFBsize:230209, AFBsize:230867, largePrimes:7595197 encountered
Relations: rels:7039683, finalFF:510104
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 73.33 hours.
Total relation processing time: 0.31 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,3200000,3200000,28,28,48,48,2.6,2.6,100000
total time: 73.65 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

52850630904406421351654885380194226068573693598467331703772213780802008323974367444011362885644447380590605800356741758604743344123670476316311025962872431789654489<164>

70835644003123593484318087394932806885707<41>
746102215179633311919695276118227149695996068322953673178010306203699906940184998267472539948678240767141330911324215957227<123>

Number: n
N=52850630904406421351654885380194226068573693598467331703772213780802008323974367444011362885644447380590605800356741758604743344123670476316311025962872431789654489
  ( 164 digits)
SNFS difficulty: 167 digits.
Divisors found:

Tue Oct 30 07:24:05 2007  prp41 factor: 70835644003123593484318087394932806885707
Tue Oct 30 07:24:05 2007  prp123 factor: 746102215179633311919695276118227149695996068322953673178010306203699906940184998267472539948678240767141330911324215957227
Tue Oct 30 07:24:05 2007  elapsed time 02:09:23 (Msieve 1.28)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 78.72 hours.
Scaled time: 102.80 units (timescale=1.306).
Factorization parameters were as follows:
name: KA_7_9_166_3
n: 52850630904406421351654885380194226068573693598467331703772213780802008323974367444011362885644447380590605800356741758604743344123670476316311025962872431789654489
skew: 0.78
deg: 5
c5: 25
c0: -7
m: 2000000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 3100001)
Primes: RFBsize:216816, AFBsize:216906, largePrimes:7450046 encountered
Relations: rels:6889776, finalFF:446877
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 78.46 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 78.72 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

786188983682773605926983871622056430304142480461129240014929957988910537870832320441280722639901966253443<105>

350969010395558715534644431751677<33>
2240052427411472440287076912394101922396296096003376631991190413937458559<73>

GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM]
Input number is 786188983682773605926983871622056430304142480461129240014929957988910537870832320441280722639901966253443 (105 digits)
Using B1=585500, B2=391572419, polynomial Dickson(3), sigma=243109381
Step 1 took 5203ms
Step 2 took 3532ms
********** Factor found in step 2: 350969010395558715534644431751677
Found probable prime factor of 33 digits: 350969010395558715534644431751677
Probable prime cofactor 2240052427411472440287076912394101922396296096003376631991190413937458559 has 73 digits

125201692100868743241064902992163939095636877532399850383977939461851826927440924364092780713931348782178791146362343087066821708095384909127046852038205296344580097<165>

473048713356314168354682550298167494871<39>
36110938960348331268870320405592134697102786337<47>
7329351527850956899400617896031539095927171138622765905330195821735845789339911<79>

Number: n
N=125201692100868743241064902992163939095636877532399850383977939461851826927440924364092780713931348782178791146362343087066821708095384909127046852038205296344580097
  ( 165 digits)
SNFS difficulty: 170 digits.
Divisors found:

Sat Jun 14 02:35:32 2008  prp39 factor: 473048713356314168354682550298167494871
Sat Jun 14 02:35:32 2008  prp47 factor: 36110938960348331268870320405592134697102786337
Sat Jun 14 02:35:32 2008  prp79 factor: 7329351527850956899400617896031539095927171138622765905330195821735845789339911
Sat Jun 14 02:35:32 2008  elapsed time 02:21:24 (Msieve 1.36)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 105.41 hours.
Scaled time: 88.65 units (timescale=0.841).
Factorization parameters were as follows:
name: KA_7_9_168_3
n: 125201692100868743241064902992163939095636877532399850383977939461851826927440924364092780713931348782178791146362343087066821708095384909127046852038205296344580097
skew: 1.54
deg: 5
c5: 4
c0: -35
m: 10000000000000000000000000000000000
type: snfs
rlim: 3200000
alim: 3200000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 4500163)
Primes: RFBsize:230209, AFBsize:230217, largePrimes:7834629 encountered
Relations: rels:7288384, finalFF:441299
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 105.03 hours.
Total relation processing time: 0.38 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,3200000,3200000,28,28,48,48,2.5,2.5,100000
total time: 105.41 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

518454732042085630178055242057743233226532699812244491178632138429478351148742257136460904604881361169099063100611181620157371706181465466793487<144>

267225671577587886263333427818158723483<39>
1940138194737605546964094210184209125694364459325237602677778591219159584108616662614835144171508335314589<106>

Using B1=11000000, B2=96175819756, polynomial Dickson(12), sigma=4243394023
Step 1 took 43630ms
Step 2 took 10886ms
********** Factor found in step 2: 267225671577587886263333427818158723483
Found probable prime factor of 39 digits: 267225671577587886263333427818158723483
Probable prime cofactor has 106 digits

GMP-ECM 6.2.1

408851637961874584760055194971124853068942607451321101855164307252005928348750447181479020800327081310369499667808044155976899882455154085961056881484131445801604742679<168>

24647086395999836771837331424225869225743402319273339674995455701866527506633<77>
16588234057078252813498282677454365397090590853140579319578237953322061447834122710199965663<92>

Number: n
N=408851637961874584760055194971124853068942607451321101855164307252005928348750447181479020800327081310369499667808044155976899882455154085961056881484131445801604742679
  ( 168 digits)
SNFS difficulty: 172 digits.
Divisors found:

Thu May 29 01:44:12 2008  prp77 factor: 24647086395999836771837331424225869225743402319273339674995455701866527506633
Thu May 29 01:44:12 2008  prp92 factor: 16588234057078252813498282677454365397090590853140579319578237953322061447834122710199965663
Thu May 29 01:44:12 2008  elapsed time 02:24:36 (Msieve 1.36)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 112.41 hours.
Scaled time: 162.21 units (timescale=1.443).
Factorization parameters were as follows:
name: KA_7_9_170_3
n: 408851637961874584760055194971124853068942607451321101855164307252005928348750447181479020800327081310369499667808044155976899882455154085961056881484131445801604742679
skew: 1.23
deg: 5
c5: 5
c0: -14
m: 20000000000000000000000000000000000
type: snfs
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 5600521)
Primes: RFBsize:250150, AFBsize:251001, largePrimes:7971414 encountered
Relations: rels:7366966, finalFF:511955
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 112.09 hours.
Total relation processing time: 0.32 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000
total time: 112.41 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

420360143552989023345751472574127884064672408085627361241743864055529574963349849983973769527042293484943225108111374420034364441735456852658515182882934954522286969361<168>

138161571992322355518249925361034781278945385532571294634897<60>
3042525772479980573421781698654833894292124178776206300829682839392738230075715174164879797011327208823658113<109>

Number: 79993_172
N=420360143552989023345751472574127884064672408085627361241743864055529574963349849983973769527042293484943225108111374420034364441735456852658515182882934954522286969361
  ( 168 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=138161571992322355518249925361034781278945385532571294634897
 r2=3042525772479980573421781698654833894292124178776206300829682839392738230075715174164879797011327208823658113
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.728).
Factorization parameters were as follows:
n: 420360143552989023345751472574127884064672408085627361241743864055529574963349849983973769527042293484943225108111374420034364441735456852658515182882934954522286969361
Y1: 1
Y0: -20000000000000000000000000000000000
c5: 25
c0: -7
skew: 0.78
type: snfs
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [4500000, 6800001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1139892 x 1140140
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,9000000,9000000,27,27,52,52,2.6,2.6,100000
total time: 45.00 hours.

Msieve-1.37

Opteron-2.6GHz; Linux x86_64

1511933976564259207825753213410201894118627087817246589303254316622514372305569081890713842452086731119783113310275489514783360440127<133>

3689491133257280931329975079737651199621555383<46>
409794717470818987671153428506203778860333738979971721371815803354697156643422009878969<87>

Number: 14
N=1511933976564259207825753213410201894118627087817246589303254316622514372305569081890713842452086731119783113310275489514783360440127
  ( 133 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=3689491133257280931329975079737651199621555383 (pp46)
 r2=409794717470818987671153428506203778860333738979971721371815803354697156643422009878969 (pp87)
Version: Msieve-1.40
Total time: 75.25 hours.
Scaled time: 130.86 units (timescale=1.739).
Factorization parameters were as follows:
n: 1511933976564259207825753213410201894118627087817246589303254316622514372305569081890713842452086731119783113310275489514783360440127
m: 20000000000000000000000000000000000
deg: 5
c5: 250
c0: -7
skew: 0.49
type: snfs
lss: 1
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2750000, 6650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1032803 x 1033033
Total sieving time: 72.87 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.40 hours.
Time per square root: 0.88 hours.
Prototype def-par.txt line would be:
snfs,173.000,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,52,52,2.4,2.4,100000
total time: 75.25 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

12413610595401417686211830655205083962418215643641052087766483976938267932700560799982520201352146435460790062194667205430970129597<131>

51214612506335883761873881358036819803252479773<47>
242384155378813026302047943905338107260295198966971627135952153249146441266740742689<84>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2474727027
Step 1 took 15585ms
Step 2 took 9765ms
********** Factor found in step 2: 51214612506335883761873881358036819803252479773
Found probable prime factor of 47 digits: 51214612506335883761873881358036819803252479773
Probable prime cofactor 242384155378813026302047943905338107260295198966971627135952153249146441266740742689 has 84 digits

GMP-ECM 6.3

5767844268204758471521268925739005046863734679163662581110310021629416005767844268204758471521268925739005046863734679163662581110310021629416005767844268204758471521268925739<175>

845024513588440108342229237258611536863418925832842805605254098132291<69>
6825653191658678389031719639341109854130190201976846345079951503520340161289026704590084570366199203022329<106>

N=5767844268204758471521268925739005046863734679163662581110310021629416005767844268204758471521268925739005046863734679163662581110310021629416005767844268204758471521268925739
  ( 175 digits)

SNFS difficulty: 177 digits.

Divisors found:

 r1=845024513588440108342229237258611536863418925832842805605254098132291 (pp69)
  r2=6825653191658678389031719639341109854130190201976846345079951503520340161289026704590084570366199203022329 (pp106)

Version: GGNFS-0.77.1-20060513-prescott

Total time: 228.94 hours.

Scaled time: 386.00 units (timescale=1.686).

Factorization parameters were as follows:

n: 5767844268204758471521268925739005046863734679163662581110310021629416005767844268204758471521268925739005046863734679163662581110310021629416005767844268204758471521268925739
m: 200000000000000000000000000000000000
c5: 25
c0: -7
skew: 0.78
type: snfs



Factor base limits: 7400000/7400000

Large primes per side: 3

Large prime bits: 27/27

Max factor residue bits: 48/48

Sieved algebraic special-q in [3700000, 12000001)

Primes: RFBsize:501962, AFBsize:501206, largePrimes:6478564 encountered

Relations: rels:6931375, finalFF:1126384

Max relations in full relation-set: 28

Initial matrix: 1003232 x 1126384 with sparse part having weight 71657504.

Pruned matrix : 899663 x 904743 with weight 55336059.

Total sieving time: 212.90 hours.

Total relation processing time: 0.14 hours.

Matrix solve time: 15.65 hours.

Time per square root: 0.25 hours.

Prototype def-par.txt line would be:

snfs,177,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000

total time: 228.94 hours.

538024356933939543543762084821664819248682846180354344862538922653610929074484382362483625469439457871447111766892777591722941211949135273271823279<147>

3083017495374434512141472775372572818081000579<46>
174512262009916401676265597628769814070836346639831633145298284899051571135549692297657337083281331301<102>

*Polynomial file parameters*
n: 538024356933939543543762084821664819248682846180354344862538922653610929074484382362483625469439457871447111766892777591722941211949135273271823279
m: 200000000000000000000000000000000000
deg: 5
c5: 250
c0: -7
skew: 0.49
# Murphy_E = 1.109e-10
type: snfs
lss: 1
rlim: 6700000
alim: 6700000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
----------------------------------------

prp46 factor: 3083017495374434512141472775372572818081000579
prp102 factor: 174512262009916401676265597628769814070836346639831633145298284899051571135549692297657337083281331301
elapsed time 05:46:32

Msieve 1.52 SVN 945

AMD Phenom II X4 955, 4GB RAM, Windows XP

4491591081862865150081988283581596282996430661901748817637662382649049431748332418458628844867088967012058945276668274280495221847780102925444690184123671<154>

1599873973009276041092976923092793736683121155620355716133<58>
2807465561436958874864440040835421949212652061415519044165871435387916975260811870100914313019787<97>

Number: 79993_180
N=4491591081862865150081988283581596282996430661901748817637662382649049431748332418458628844867088967012058945276668274280495221847780102925444690184123671
  ( 154 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=1599873973009276041092976923092793736683121155620355716133 (pp58)
 r2=2807465561436958874864440040835421949212652061415519044165871435387916975260811870100914313019787 (pp97)
Msieve version: Msieve v. 1.49 (SVN unknown)
GGNFS version: GGNFS-0.77.1-VC8(UTE)
Total time: 132.10 hours.
Scaled time: 585.08 units (timescale=4.429).
Factorization parameters were as follows:
n: 4491591081862865150081988283581596282996430661901748817637662382649049431748332418458628844867088967012058945276668274280495221847780102925444690184123671
m: 1000000000000000000000000000000000000
deg: 5
c5: 8
c0: -7
skew: 0.97
# Murphy_E = 1.206e-10
type: snfs
lss: 1
rlim: 7200000
alim: 7200000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 10000
relslim: 30000000

Polynomial score was as follows:
skew 0.97, size 1.939e-012, alpha 0.925, combined = 1.206e-010 rroots = 1 
Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Sieved special-q in [3600000, 10320001)
Relations: raw-rels:25618412 rels:23039678, finalFF:1107155
Pruned matrix : 1087314 x 1087543
Total sieving time: 126.53 hours.
Total relation processing time: 1.15 hours.
Total matrix build processing time: 3.73 hours.
Matrix pruned processing time: 0.00 hours.
Matrix solve time: 0.66 hours.
Total time of square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,7200000,7200000,28,28,55,55,2.5,2.5,100000
total time: 132.10 hours.
 --------- CPU info (if available) ----------

Msieve v. 1.49 (SVN unknown) + GGNFS-0.77.1-VC8 with 
factMsieve.pl (decomposed + modified) snfs

Core i7 2600 - Windows7 64bit (7 threads used),
Core i7 4770 - Windows7 64bit (8 threads used) and
Core 2 Quad Q6600 - Windows Vista 32bit (4 threads used)

79999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993<182>

216148982655435929699114314027715477553384103519<48>
370115089218478356758654535607364677329573694364240237802979699121028544430300307143621280593966654455367748978194923424449434078433447<135>

Number: 79993_181
N=79999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993
  ( 182 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=216148982655435929699114314027715477553384103519 (pp48)
 r2=370115089218478356758654535607364677329573694364240237802979699121028544430300307143621280593966654455367748978194923424449434078433447 (pp135)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 248.23 hours.
Scaled time: 529.98 units (timescale=2.135).
Factorization parameters were as follows:
n: 79999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993
m: 2000000000000000000000000000000000000
c5: 5
c0: -14
skew: 1.23
type: snfs
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 50/50
Sieved algebraic special-q in [5000000, 9100001)
Primes: RFBsize:664579, AFBsize:665480, largePrimes:11067378 encountered
Relations: rels:11387297, finalFF:1536217
Max relations in full relation-set: 28
Initial matrix: 1330124 x 1536217 with sparse part having weight 93212688.
Pruned matrix : 1143509 x 1150223 with weight 64319333.
Total sieving time: 238.30 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 9.59 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,10000000,10000000,28,28,50,50,2.6,2.6,100000
total time: 248.23 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2114k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407677)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405122)
Total of 4 processors activated (19246.09 BogoMIPS).

Core 2 Quad Q6600

267081944506155877050428880041026597368440453771213957358471006730851855962585911204910752908408493625127630676275694771087913160424820479988079851041265911871871100979<168>

84721317288056571677189897472637394818557775006047037336787<59>
3152476295877982668355009856689567938575614502856773511645665684485481275238034206312917827702041128175958817<109>

Number: 79993_185
N=267081944506155877050428880041026597368440453771213957358471006730851855962585911204910752908408493625127630676275694771087913160424820479988079851041265911871871100979
  ( 168 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=84721317288056571677189897472637394818557775006047037336787
 r2=3152476295877982668355009856689567938575614502856773511645665684485481275238034206312917827702041128175958817
Version: 
Total time: 65.55 hours.
Scaled time: 344.80 units (timescale=5.260).
Factorization parameters were as follows:
n: 267081944506155877050428880041026597368440453771213957358471006730851855962585911204910752908408493625127630676275694771087913160424820479988079851041265911871871100979
m: 20000000000000000000000000000000000000
deg: 5
c5: 1
c0: -28
skew: 1.95
# Murphy_E = 7.556e-11
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4200000, 7200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20267831
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1572758 x 1573006
Total sieving time: 60.82 hours.
Total relation processing time: 1.58 hours.
Matrix solve time: 3.06 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,54,54,2.5,2.5,100000
total time: 65.55 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.70 BogoMIPS (lpj=3399852)
Total of 12 processors activated (81596.44 BogoMIPS).

GGNFS / Msieve v1.39

Core i7-4930K

7999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993<187>

23673718891878340687652156651068165346397873316066209701723<59>
337927472930521778199552160468265760927553690616358987625083967033589270515553679435711873302636879244937694756967161283401298491<129>

Number: 79993_186
N=7999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993
  ( 187 digits)
SNFS difficulty: 187 digits.
Divisors found:
 r1=23673718891878340687652156651068165346397873316066209701723 (pp59)
 r2=337927472930521778199552160468265760927553690616358987625083967033589270515553679435711873302636879244937694756967161283401298491 (pp129)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 403.36 hours.
Scaled time: 859.97 units (timescale=2.132).
Factorization parameters were as follows:
n: 7999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993
m: 20000000000000000000000000000000000000
c5: 5
c0: -14
skew: 1.23
type: snfs
Factor base limits: 12000000/12000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 50/50
Sieved algebraic special-q in [6000000, 12600001)
Primes: RFBsize:788060, AFBsize:788254, largePrimes:11493077 encountered
Relations: rels:12030057, finalFF:1799960
Max relations in full relation-set: 28
Initial matrix: 1576379 x 1799960 with sparse part having weight 101413617.
Pruned matrix : 1375471 x 1383416 with weight 74538419.
Total sieving time: 389.01 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 13.95 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,12000000,12000000,28,28,50,50,2.6,2.6,100000
total time: 403.36 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2114k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407675)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405123)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405117)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125)
Total of 4 processors activated (19246.08 BogoMIPS).

Core 2 Quad Q6600

138081283345950309230531329995072172420110143607969451711552113694692661708686737203499592110478020125523101308523656994210274227512847250889071294647748009652799946416177184770523<180>

147728220088722917027232091961335520559592809652988970433151<60>
934698077747238606361396273063995484522895061192755869301403461218245253772859042324880654609901518917061640139727825573<120>

Number: 79993_187
N=138081283345950309230531329995072172420110143607969451711552113694692661708686737203499592110478020125523101308523656994210274227512847250889071294647748009652799946416177184770523
  ( 180 digits)
SNFS difficulty: 187 digits.
Divisors found:
 r1=147728220088722917027232091961335520559592809652988970433151
 r2=934698077747238606361396273063995484522895061192755869301403461218245253772859042324880654609901518917061640139727825573
Version: 
Total time: 248.68 hours.
Scaled time: 498.61 units (timescale=2.005).
Factorization parameters were as follows:
n: 138081283345950309230531329995072172420110143607969451711552113694692661708686737203499592110478020125523101308523656994210274227512847250889071294647748009652799946416177184770523
m: 20000000000000000000000000000000000000
deg: 5
c5: 25
c0: -7
skew: 0.78
type: snfs
lss: 1
rlim: 9500000
alim: 9500000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5Factor base limits: 9500000/9500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4750000, 7250001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1622211 x 1622459
Total sieving time: 248.68 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,9500000,9500000,28,28,54,54,2.5,2.5,100000
total time: 248.68 hours.
 --------- CPU info (if available) ----------

2926593928420441741940311618375298139720374450589014070081485171821083821969816307666671346289911408014829441635556892503021367637950429659103315818163422605131<160>

259434316310048883009749966749<30>
11280673929515482410186744031856075693766227254925575504050922917780974235338007459650081318927619624208279244239261693510134938119<131>

Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=1724537978
Step 1 took 20561ms
Step 2 took 2944ms
********** Factor found in step 2: 259434316310048883009749966749
Found probable prime factor of 30 digits: 259434316310048883009749966749
Probable prime cofactor 11280673929515482410186744031856075693766227254925575504050922917780974235338007459650081318927619624208279244239261693510134938119 has 131 digits

GMP-ECM 6.2.1

8258718803429434901947831228369030710983669494079124845668232301283431700057705493304856348493325039887314945452435156236449799354384885023552205071466886838935677904271<169>

169975390302232818542680033361136233091302617<45>

48587732546132869869762832408420809218671075399216081456146994631509494856513751275046204132332636242913118519169047734148263<125>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3352862238
Step 1 took 163756ms
Step 2 took 47376ms
********** Factor found in step 2: 169975390302232818542680033361136233091302617
Found probable prime factor of 45 digits: 169975390302232818542680033361136233091302617
Composite cofactor

48587732546132869869762832408420809218671075399216081456146994631509494856513751275046204132332636242913118519169047734148263<125>

7937063631729880486094053525421092914791048416976069<52>
6121625679287037423434632525482762289411794983342400325345836928692437627<73>

Number: 79993_190
N = 48587732546132869869762832408420809218671075399216081456146994631509494856513751275046204132332636242913118519169047734148263 (125 digits)
Divisors found:
r1=7937063631729880486094053525421092914791048416976069 (pp52)
r2=6121625679287037423434632525482762289411794983342400325345836928692437627 (pp73)
Version: Msieve v. 1.51 (SVN 845)
Total time: 30.84 hours.
Factorization parameters were as follows:
# Murphy_E = 1.579e-10, selected by Erik Branger
n: 48587732546132869869762832408420809218671075399216081456146994631509494856513751275046204132332636242913118519169047734148263
Y0: -944671590333578448679897
Y1: 4211514755011
c0: -18896334150828047734624655880
c1: 235764828237891060574868
c2: 324334925888254140590
c3: 5449790175986673
c4: -86094829800
c5: 64584
skew: 59434.74
type: gnfs
# selected mechanically
rlim: 7000000
alim: 7000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10677188
Relations: 1510306 relations
Pruned matrix : 902594 x 902818
Polynomial selection time: 0.00 hours.
Total sieving time: 29.73 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.59 hours.
time per square root: 0.47 hours.
Prototype def-par.txt line would be: gnfs,124,5,65,2000,1e-05,0.28,250,20,50000,3600,7000000,7000000,27,27,52,52,2.5,2.5,100000
total time: 30.84 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz

GGNFS, Msieve

1644823333960706619918308254248956966136534845429585851401438181749896915005017473032475941702775443212673998919289829582602516667419032258912238658835695786463<160>

2733608215002374865764985875291841856268857847107303<52>
601704123119661335007972429743809850751257726252930830139113014490593281716576841996159231612456464150107721<108>

Factors:
601704123119661335007972429743809850751257726252930830139113014490593281716576841996159231612456464150107721
2733608215002374865764985875291841856268857847107303

Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 128.56/218.967
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 218.9s
Info:Square Root: Total cpu/real time for sqrt: 2623.24/361.262
Info:Filtering - Singleton removal: Total cpu/real time for purge: 248.84/85.6494
Info:Quadratic Characters: Total cpu/real time for characters: 80.41/21.518
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 55041436
Info:Lattice Sieving: Average J: 3791 for 492539 special-q, max bucket fill -bkmult 1.0,1s:1.198540
Info:Lattice Sieving: Total time: 229375s
Info:Linear Algebra: Total cpu/real time for bwc: 54073.8/13803.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 33904.59, WCT time 8701.98, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (62000 iterations)
Info:Linear Algebra: Lingen CPU time 748.94, WCT time 96.17
Info:Linear Algebra: Mksol: CPU time 18401.64,  WCT time 4712.58, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (31000 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 620.03/79.217
Info:Generate Factor Base: Total cpu/real time for makefb: 37.49/6.65602
Info:Filtering - Merging: Total cpu/real time for merge: 312.13/50.6597
Info:Filtering - Merging: Total cpu/real time for replay: 59.6/49.5334
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 755.22/225.37
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 194.2s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.32132e+06/21400.5
Info:root: Cleaning up computation data in /tmp/cado.logdcqu8
601704123119661335007972429743809850751257726252930830139113014490593281716576841996159231612456464150107721 2733608215002374865764985875291841856268857847107303

CADO-NFS

58262785362048468484252747792250295282512563419974189573357511879114799532054862534507685949485894176833585405504873048787253376661956799858269057<146>

4605464044308832491993683850687897807544583195897<49>
12650795837619504750174832351351061831522533964460659735756700711185906572341192492426151847726281<98>

prp49 = 4605464044308832491993683850687897807544583195897 (curve 74 stg2 B1=110000000 sigma=3084794512 thread=4)

40290524128808944196430476466106809444199837480736986582759214010378093886743379165906618579232687117032954367249225720180334190356951128443942280804174061302803443938219<170>

214605166213413649753799079575549309<36>
187742563889361910433535169521129458961729353440826580401787271210018504832215823551155968418007570578866423270571979403524548052497991<135>

Using B1=11000000, B2=96175819756, polynomial Dickson(12), sigma=1664096161
Step 1 took 50439ms
Step 2 took 41184ms
********** Factor found in step 2: 214605166213413649753799079575549309
Found probable prime factor of 36 digits: 214605166213413649753799079575549309
Probable prime cofactor has 135 digits

GMP-ECM 6.2.1

136870671128516184080803107646808654235288844241508680391085899728149748479448666760269210943573279151745959244550974089036687763031950059687528914838182699506689854568073525045295924299561<189>

32378445513162135743421243021429886659587<41>
4227215635564622707683382762558469983681933200376115910536484791373360578300299934089144627418872117882058483815839734618491906920903571931462178403<148>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=372762145
Step 1 took 18228ms
********** Factor found in step 1: 32378445513162135743421243021429886659587
Found probable prime factor of 41 digits: 32378445513162135743421243021429886659587
Probable prime cofactor 4227215635564622707683382762558469983681933200376115910536484791373360578300299934089144627418872117882058483815839734618491906920903571931462178403 has 148 digits

GMP-ECM 6.2.3

555921481648794574506622447100375278706510755824406115096505132222908589874610349651295688398095489297398697225137209069969598343189017639467583993092583<153>

86017606332755084456574127248898908449706738588886810823886207207619<68>
6462880163140535903639027673937393035840380689951182912416157390884951860444124575757<85>

555921481648794574506622447100375278706510755824406115096505132222908589874610349651295688398095489297398697225137209069969598343189017639467583993092583=86017606332755084456574127248898908449706738588886810823886207207619*6462880163140535903639027673937393035840380689951182912416157390884951860444124575757

cado polynomial
n: 555921481648794574506622447100375278706510755824406115096505132222908589874610349651295688398095489297398697225137209069969598343189017639467583993092583
skew: 0.98
type: snfs
c0: -7
c6: 8
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 8*x^6-7
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 14500000
tasks.lim1 = 14500000
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: 6462880163140535903639027673937393035840380689951182912416157390884951860444124575757 86017606332755084456574127248898908449706738588886810823886207207619
Info:Square Root: Total cpu/real time for sqrt: 843.71/259.447
Info:Filtering - Singleton removal: Total cpu/real time for purge: 500.41/565.791
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 31516600
Info:Lattice Sieving: Average J: 1894.58 for 5725315 special-q, max bucket fill -bkmult 1.0,1s:1.173780
Info:Lattice Sieving: Total time: 1.2619e+06s
Info:Linear Algebra: Total cpu/real time for bwc: 164657/42158.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 105875.28, WCT time 27014.28, iteration CPU time 0.27, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (94208 iterations)
Info:Linear Algebra: Lingen CPU time 651.44, WCT time 165.36
Info:Linear Algebra: Mksol: CPU time 56985.95,  WCT time 14553.37, iteration CPU time 0.29, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (47104 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 9.37/3.71425
Info:Generate Free Relations: Total cpu/real time for freerel: 181.89/46.6366
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 133.42/160.577
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 159.49999999999997s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 603.45/622.54
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 507.8999999999999s
Info:Filtering - Merging: Merged matrix has 3008057 rows and total weight 515339055 (171.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 834.68/230.323
Info:Filtering - Merging: Total cpu/real time for replay: 117.69/104.172
Info:Quadratic Characters: Total cpu/real time for characters: 104.31/45.5021
Info:Square Root: Total cpu/real time for sqrt: 843.71/259.447
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.60888e+06/151441
Info:root: Cleaning up computation data in /tmp/cado.6fs06ns8
6462880163140535903639027673937393035840380689951182912416157390884951860444124575757 86017606332755084456574127248898908449706738588886810823886207207619

cado-nfs-3.0.0

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

936871390399138742901368555643224591871490313342519180911444448294845571847836816547261492648358292268289009623912174776699414148212413183797059560999<150>

969389492947127800481974659965159123<36>
7704923595303842863206775065574213057369766257589210383<55>
125433439823984323824470778869091056201383816651546806736211<60>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1282909782
Step 1 took 141943ms
Step 2 took 49626ms
********** Factor found in step 2: 969389492947127800481974659965159123
Found probable prime factor of 36 digits: 969389492947127800481974659965159123
Composite cofactor 966455070139941519043279663259236872136460397308419582227509440841521063548855443243211530633437799371696863278813 has 114 digits

Tue Oct 29 20:55:27 2013  sqrtTime: 1138
Tue Oct 29 20:55:27 2013  prp55 factor: 7704923595303842863206775065574213057369766257589210383
Tue Oct 29 20:55:27 2013  prp60 factor: 125433439823984323824470778869091056201383816651546806736211
Tue Oct 29 20:55:27 2013  elapsed time 00:18:59

387875819175186798910200330334843877711945977654651017661173969819207974790531402119635644021358035310171639221414784412628635722401034779575731852871484134072593118887<168>

1056307936361676841413733850073730593568050202755281<52>
15278889612189567775155838016436506204356145286658717093169<59>
24033131891184719688760784375031613237067313868395611599783<59>

Number: n
N=387875819175186798910200330334843877711945977654651017661173969819207974790531402119635644021358035310171639221414784412628635722401034779575731852871484134072593118887
  ( 168 digits)
SNFS difficulty: 200 digits.
Divisors found:

Tue Oct 23 00:24:50 2012  prp52 factor: 1056307936361676841413733850073730593568050202755281
Tue Oct 23 00:24:50 2012  prp59 factor: 15278889612189567775155838016436506204356145286658717093169
Tue Oct 23 00:24:50 2012  prp59 factor: 24033131891184719688760784375031613237067313868395611599783
Tue Oct 23 00:24:50 2012  elapsed time 05:22:18 (Msieve 1.44 - dependency 3)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.046).
Factorization parameters were as follows:
name: KA_79993_200
n: 387875819175186798910200330334843877711945977654651017661173969819207974790531402119635644021358035310171639221414784412628635722401034779575731852871484134072593118887
m: 10000000000000000000000000000000000000000
#  c168, diff: 200.9
skew: 0.974
deg: 5
c5: 8
c0: -7
# Murphy_E = 1.812e-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, 26800000)
Primes: RFBsize:1006966, AFBsize:1006347,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8452004 hash collisions in 63038431 relations (57282363 unique)
Msieve: matrix is 1806138 x 1806364 (509.8 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,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=2830711)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830461)
Total of 4 processors activated (22644.16 BogoMIPS).

140177625308473554141828774520307023241328582870323635750298462994303395117743632745329857440246123624407244879634388927335098838400716806671422047303686166854149838545421281459830211<183>

9876704794126317885955144504711009745715119983004393892127085790059450466848400823<82>
14192752363302107586249233323743032225283100009505094637822654639240141529535293321190283647309187157<101>

Number: n
N=140177625308473554141828774520307023241328582870323635750298462994303395117743632745329857440246123624407244879634388927335098838400716806671422047303686166854149838545421281459830211  ( 183 digits)
SNFS difficulty: 201 digits.
Divisors found:

Wed Sep  1 12:15:35 2021  p82 factor: 9876704794126317885955144504711009745715119983004393892127085790059450466848400823
Wed Sep  1 12:15:35 2021  p101 factor: 14192752363302107586249233323743032225283100009505094637822654639240141529535293321190283647309187157
Wed Sep  1 12:15:35 2021  elapsed time 01:34:26 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.334).
Factorization parameters were as follows:
#
# N = 8x10^201-7 = 79(200)3
#
n: 140177625308473554141828774520307023241328582870323635750298462994303395117743632745329857440246123624407244879634388927335098838400716806671422047303686166854149838545421281459830211
m: 10000000000000000000000000000000000000000
deg: 5
c5: 80
c0: -7
skew: 0.61
# Murphy_E = 1.323e-11
type: snfs
lss: 1
rlim: 16200000
alim: 16200000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
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, 35300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9521746 hash collisions in 66490086 relations (59727595 unique)
Msieve: matrix is 1974728 x 1974954 (674.3 MB)

Sieving start time : 2021/08/31 23:33:10
Sieving end time  : 2021/09/01 10:39:40

Total sieving time: 11hrs 6min 30secs.

Total relation processing time: 1hrs 15min 44sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 11sec.

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) ----------
[    0.116939] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239968K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2736K init, 4964K bss, 487268K reserved, 0K cma-reserved)
[    0.154077] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.20 BogoMIPS (lpj=12798404)
[    0.152034] smpboot: Total of 16 processors activated (102387.23 BogoMIPS)

10478783186369681091636966097526376377707816904345808417546946988522054799307258468712652384986245661987346041312497417181488619328955354329454425232503873329994805586865511<173>

135553057336596572050189180507401699544947671851029394927039<60>
77303923587274357125938178513965292403027654887419429945844972628601680760576334520429445405280791201330375375449<113>

Number: n
N=10478783186369681091636966097526376377707816904345808417546946988522054799307258468712652384986245661987346041312497417181488619328955354329454425232503873329994805586865511  ( 173 digits)
SNFS difficulty: 202 digits.
Divisors found:

Thu Nov 18 02:02:14 2021  p60 factor: 135553057336596572050189180507401699544947671851029394927039
Thu Nov 18 02:02:14 2021  p113 factor: 77303923587274357125938178513965292403027654887419429945844972628601680760576334520429445405280791201330375375449
Thu Nov 18 02:02:14 2021  elapsed time 01:30:52 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.333).
Factorization parameters were as follows:
#
# N = 8x10^202-7 = 79(201)3
#
n: 10478783186369681091636966097526376377707816904345808417546946988522054799307258468712652384986245661987346041312497417181488619328955354329454425232503873329994805586865511
m: 20000000000000000000000000000000000000000
deg: 5
c5: 25
c0: -7
skew: 0.78
# Murphy_E = 1.432e-11
type: snfs
lss: 1
rlim: 16900000
alim: 16900000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16900000/16900000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 28450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10006795 hash collisions in 70600273 relations (63711416 unique)
Msieve: matrix is 1875722 x 1875952 (645.2 MB)

Sieving start time : 2021/11/17 14:16:38
Sieving end time  : 2021/11/18 00:30:20

Total sieving time: 10hrs 13min 42secs.

Total relation processing time: 1hrs 11min 28sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 1sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16900000,16900000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117850] 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, 5020K rodata, 2736K init, 4964K bss, 487280K reserved, 0K cma-reserved)
[    0.153476] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.40 BogoMIPS (lpj=12798804)
[    0.152048] smpboot: Total of 16 processors activated (102390.43 BogoMIPS)

74766355140186915887850467289719626168224299065420560747663551401869158878504672897196261682242990654205607476635514018691588785046728971962616822429906542056074766355140186915887850467289719626168224299<203>

214066641709018637892053783319708371124427276709778908851374609658254322922579584817749<87>
349266726208640315005379231504121463596370073505357956090364356965719034735932212040068308858969722412709264632205951<117>

Tue Dec  9 17:09:07 2014  RelProcTime: 2368
Tue Dec  9 18:43:28 2014  BLanczosTime: 5661
Tue Dec  9 18:50:21 2014  sqrtTime: 413

prp87 factor: 214066641709018637892053783319708371124427276709778908851374609658254322922579584817749
prp117 factor: 349266726208640315005379231504121463596370073505357956090364356965719034735932212040068308858969722412709264632205951

26783691771684578653436940439347095362144599396595563007995967028033361911856695738636480376349766185696774530715867314086184354586126326082521232876830881228217379845667771974483351179041<188>

34595490698867891493685060784635483338733<41>
774196036264375130590275127436265207395780289468932912622394102436310079182647359252659335828090028057550296252301239703734003257101373989990950277<147>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=251932274
Step 1 took 25358ms
Step 2 took 8512ms
********** Factor found in step 2: 34595490698867891493685060784635483338733
Found probable prime factor of 41 digits: 34595490698867891493685060784635483338733

658570990160731939043604019674251563660144101154771327767315450288685687094229839918388616591946042143659687658197422665998675395154800423689988683787222724446420912009<168>

93526383758104765227355098201269487421354422274377453968569<59>
7041553021701876770860793916336895618543558262493045105915269537528262654937701355248107953274913789562599761<109>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 658570990160731939043604019674251563660144101154771327767315450288685687094229839918388616591946042143659687658197422665998675395154800423689988683787222724446420912009 (168 digits)
Using B1=57130000, B2=388127758210, polynomial Dickson(30), sigma=1:4216883503
Step 1 took 134783ms
Step 2 took 58633ms
********** Factor found in step 2: 93526383758104765227355098201269487421354422274377453968569
Found prime factor of 59 digits: 93526383758104765227355098201269487421354422274377453968569
Prime cofactor 7041553021701876770860793916336895618543558262493045105915269537528262654937701355248107953274913789562599761 has 109 digits

157197793158750083052775779635744014564666328856083973244247529950716345631227307549129885919140157574906713029521970213919289099828365263<138>

5546431339808177773468565522585745772747<40>
28342150750249211146707920744837750645790649864482969948490978422565909891885359741947496236914829<98>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2214388369
Step 1 took 9157ms
Step 2 took 7490ms
********** Factor found in step 2: 5546431339808177773468565522585745772747
Found probable prime factor of 40 digits: 5546431339808177773468565522585745772747
Probable prime cofactor

181947612733603677161253346130315428930125293674818677832185168085478988462247007530356822012022188511372862968429814845560591966558028779563644137761634981248024162642971022568327014444366105888961920639<204>

52920995726859278833705286639446733<35>
539694847783217833363939147539128087<36>
6370449578703623790359982914923053564887233234279533696916554704518670516225689021888510572463866659138657035220267867588984166363709<133>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2827544594
Step 1 took 16535ms
Step 2 took 11636ms
********** Factor found in step 2: 52920995726859278833705286639446733
Found probable prime factor of 35 digits: 52920995726859278833705286639446733

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4193311305
Step 1 took 16244ms
Step 2 took 4128ms
********** Factor found in step 2: 539694847783217833363939147539128087
Found probable prime factor of 36 digits: 539694847783217833363939147539128087

5386615040060003521679899377693310916122452798670294997970716238140843048412810410647907620920424789566045884338017398633220271957089488886999840551016930516638079889763617001189187657274451606546239<199>

177240037669286713386445365628068295868657045462227605055879104389<66>
30391637865203583208723593807703053999920439112372403429275383370060190283682301729829002035125610140745774870897076483602088246801651<134>

Number: n
N=5386615040060003521679899377693310916122452798670294997970716238140843048412810410647907620920424789566045884338017398633220271957089488886999840551016930516638079889763617001189187657274451606546239
  ( 199 digits)
SNFS difficulty: 210 digits.
Divisors found:

Sat Apr 17 21:37:52 2021  p66 factor: 177240037669286713386445365628068295868657045462227605055879104389
Sat Apr 17 21:37:52 2021  p134 factor: 30391637865203583208723593807703053999920439112372403429275383370060190283682301729829002035125610140745774870897076483602088246801651
Sat Apr 17 21:37:52 2021  elapsed time 00:13:44 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.332).
Factorization parameters were as follows:
#
# N = 8x10^209-7 = 79(208)3
#
n: 5386615040060003521679899377693310916122452798670294997970716238140843048412810410647907620920424789566045884338017398633220271957089488886999840551016930516638079889763617001189187657274451606546239
m: 100000000000000000000000000000000000
deg: 6
c6: 4
c0: -35
skew: 1.44
# Murphy_E = 6.482e-12
type: snfs
lss: 1
rlim: 23000000
alim: 23000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 23000000/23000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 31500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5503281 hash collisions in 46150478 relations (42947075 unique)
Msieve: matrix is 3038819 x 3039045 (1088.5 MB)

Sieving start time : 2021/04/17 06:30:14
Sieving end time  : 2021/04/17 16:24:36

Total sieving time: 9hrs 54min 22secs.

Total relation processing time: 2hrs 33min 19sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 13min 43sec.

Prototype def-par.txt line would be:
snfs,210,6,0,0,0,0,0,0,0,0,23000000,23000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119768] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241112K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486124K reserved, 0K cma-reserved)
[    0.153507] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.05 BogoMIPS (lpj=12798104)
[    0.152038] smpboot: Total of 16 processors activated (102384.83 BogoMIPS)

7417064789304737127096535451642975996365855562469427362450043248639505425191823147234738669915590064156364682140402900894664819799548846634824314081347773898745439878387873581197561138777270233273<196>

536866549508637653667689771945641257800951785364416437752477835895766132778182399967243659<90>
13815472012724837989920169833764604059973879892801992716254076174848236555419693276480728960461876163580747<107>

11/21/24 02:47:51 v1.34.5 @ RYZEN-9,
11/21/24 02:47:51 v1.34.5 @ RYZEN-9, ****************************
11/21/24 02:47:51 v1.34.5 @ RYZEN-9, Starting factorization of 7999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993
11/21/24 02:47:51 v1.34.5 @ RYZEN-9, using pretesting plan: normal
11/21/24 02:47:51 v1.34.5 @ RYZEN-9, no tune info: using qs/gnfs crossover of 125 digits
11/21/24 02:47:51 v1.34.5 @ RYZEN-9, ****************************
11/21/24 02:47:51 v1.34.5 @ RYZEN-9, div: found prime factor = 883
11/21/24 02:47:51 v1.34.5 @ RYZEN-9, rho: x^2 + 3, starting 1000 iterations on C208
11/21/24 02:47:51 v1.34.5 @ RYZEN-9, rho: x^2 + 2, starting 1000 iterations on C208
11/21/24 02:47:51 v1.34.5 @ RYZEN-9, rho: x^2 + 1, starting 1000 iterations on C208
11/21/24 02:47:51 v1.34.5 @ RYZEN-9, pm1: starting B1 = 150K, B2 = gmp-ecm default on C208
11/21/24 02:47:51 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 0.00
11/21/24 02:47:51 v1.34.5 @ RYZEN-9, scheduled 30 curves at B1=2000 toward target pretesting depth of 64.00
11/21/24 02:47:51 v1.34.5 @ RYZEN-9, prp13 = 1221510517627 (curve 7 stg1 B1=2000 sigma=710880170 thread=0)
11/21/24 02:47:51 v1.34.5 @ RYZEN-9, Finished 7 curves using Lenstra ECM method on C208 input, B1=2K, B2=gmp-ecm default
11/21/24 02:47:51 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 0.00
11/21/24 02:47:51 v1.34.5 @ RYZEN-9, scheduled 23 curves at B1=2000 toward target pretesting depth of 60.31
11/21/24 02:47:51 v1.34.5 @ RYZEN-9, Finished 23 curves using Lenstra ECM method on C196 input, B1=2K, B2=gmp-ecm default
11/21/24 02:47:51 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 15.18
11/21/24 02:47:51 v1.34.5 @ RYZEN-9, scheduled 74 curves at B1=11000 toward target pretesting depth of 60.31
11/21/24 02:47:54 v1.34.5 @ RYZEN-9, Finished 74 curves using Lenstra ECM method on C196 input, B1=11K, B2=gmp-ecm default
11/21/24 02:47:54 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 20.24
11/21/24 02:47:54 v1.34.5 @ RYZEN-9, scheduled 214 curves at B1=50000 toward target pretesting depth of 60.31
11/21/24 02:48:38 v1.34.5 @ RYZEN-9, nfs: commencing nfs on c211: 7999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993
11/21/24 02:48:38 v1.34.5 @ RYZEN-9, nfs: input divides 8*10^210 - 7
11/21/24 02:48:38 v1.34.5 @ RYZEN-9, nfs: using supplied cofactor: 7417064789304737127096535451642975996365855562469427362450043248639505425191823147234738669915590064156364682140402900894664819799548846634824314081347773898745439878387873581197561138777270233273
11/21/24 02:48:38 v1.34.5 @ RYZEN-9, nfs: commencing snfs on c196: 7417064789304737127096535451642975996365855562469427362450043248639505425191823147234738669915590064156364682140402900894664819799548846634824314081347773898745439878387873581197561138777270233273
11/21/24 02:48:38 v1.34.5 @ RYZEN-9, gen: best 2 polynomials:
n: 7417064789304737127096535451642975996365855562469427362450043248639505425191823147234738669915590064156364682140402900894664819799548846634824314081347773898745439878387873581197561138777270233273
# 8*10^210-7, difficulty: 210.00, anorm: 1.00e+030, rnorm: 1.00e+048
# scaled difficulty: 213.00, suggest sieving rational side
# size = 1.603e-014, alpha = 0.925, combined = 6.079e-012, rroots = 1
type: snfs
size: 210
skew: 1.0000
c5: 8
c0: -7
Y1: -1
Y0: 1000000000000000000000000000000000000000000
m: 1000000000000000000000000000000000000000000
n: 7417064789304737127096535451642975996365855562469427362450043248639505425191823147234738669915590064156364682140402900894664819799548846634824314081347773898745439878387873581197561138777270233273
# 8*10^210-7, difficulty: 210.00, anorm: 1.00e+036, rnorm: 1.00e+041
# scaled difficulty: 210.00, suggest sieving algebraic side
# size = 1.537e-010, alpha = 1.653, combined = 4.527e-012, rroots = 2
type: snfs
size: 210
skew: 1.0000
c6: 8
c0: -7
Y1: -1
Y0: 100000000000000000000000000000000000
m: 100000000000000000000000000000000000
11/21/24 02:48:39 v1.34.5 @ RYZEN-9, test: fb generation took 1.7032 seconds
11/21/24 02:48:39 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 0 on the rational side over range 21400000-21402000
skew: 1.0000
c5: 8
c0: -7
Y1: -1
Y0: 1000000000000000000000000000000000000000000
m: 1000000000000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
11/21/24 02:51:50 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
11/21/24 02:51:52 v1.34.5 @ RYZEN-9, test: fb generation took 2.4845 seconds
11/21/24 02:51:52 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 1 on the algebraic side over range 21400000-21402000
skew: 1.0000
c6: 8
c0: -7
Y1: -1
Y0: 100000000000000000000000000000000000
m: 100000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
11/21/24 02:55:33 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
11/21/24 02:55:33 v1.34.5 @ RYZEN-9, gen: selected polynomial:
n: 7417064789304737127096535451642975996365855562469427362450043248639505425191823147234738669915590064156364682140402900894664819799548846634824314081347773898745439878387873581197561138777270233273
# 8*10^210-7, difficulty: 210.00, anorm: 1.00e+030, rnorm: 1.00e+048
# scaled difficulty: 213.00, suggest sieving rational side
# size = 1.603e-014, alpha = 0.925, combined = 6.079e-012, rroots = 1
type: snfs
size: 210
skew: 1.0000
c5: 8
c0: -7
Y1: -1
Y0: 1000000000000000000000000000000000000000000
m: 1000000000000000000000000000000000000000000
11/22/24 11:40:04 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
11/22/24 11:42:10 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 22174671
11/22/24 13:38:00 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
11/22/24 13:40:14 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 23352939
11/22/24 15:53:37 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
11/22/24 15:55:58 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 24660084
11/22/24 18:10:58 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
11/22/24 18:13:26 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 25946431
11/22/24 20:44:16 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
11/22/24 20:46:53 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 27366476
11/22/24 23:12:50 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
11/22/24 23:17:32 v1.34.5 @ RYZEN-9, nfs: commencing msieve linear algebra
11/23/24 03:03:55 v1.34.5 @ RYZEN-9, nfs: commencing msieve sqrt
11/23/24 03:10:28 v1.34.5 @ RYZEN-9, prp90 = 536866549508637653667689771945641257800951785364416437752477835895766132778182399967243659
11/23/24 03:10:28 v1.34.5 @ RYZEN-9, prp107 = 13815472012724837989920169833764604059973879892801992716254076174848236555419693276480728960461876163580747
11/23/24 03:10:29 v1.34.5 @ RYZEN-9, NFS elapsed time = 174111.2262 seconds.
11/23/24 03:10:29 v1.34.5 @ RYZEN-9,
11/23/24 03:10:29 v1.34.5 @ RYZEN-9,
11/21/24 02:55:33 v1.34.5 @ RYZEN-9, test: test sieving took 414.98 seconds

YAFU

212556000235645554024110410184850805884143674532118189387651878499408584063455870270691465779862966147512905771621556144983569928683724734735763734648159655929621317<165>

10737545343469151814588455031100454146641683<44>
19795585810021982323050305160851289250408220017072929730669587060386830231638129008867966012848819811047827825723159260999<122>

Y:\ALL\ECM>ecm-svn3038-skylake\ecm -primetest -one -sigma 1:2032826477 11e6      
GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is 212556000235645554024110410184850805884143674532118189387651878499408584063455870270691465779862966147512905771621556144983569928683724734735763734648159655929621317 (165 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2032826477
Step 1 took 15875ms
Step 2 took 8047ms
********** Factor found in step 2: 10737545343469151814588455031100454146641683
Found prime factor of 44 digits: 10737545343469151814588455031100454146641683
Prime cofactor 19795585810021982323050305160851289250408220017072929730669587060386830231638129008867966012848819811047827825723159260999 has 122 digits

33161811825754460246272308418169906577462448406964690509248057882882136229959946636225967179445035644736832270115891230556454917486552881845848900694250964859845946101474135101<176>

1427450616576732213459495025798366834076987<43>

23231494974783848303367213655494828168990441078962636391604988146050159016570991687251546186469610240917617944818215718672039475541223<134>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2120238974
Step 1 took 88106ms
Step 2 took 29510ms
********** Factor found in step 2: 1427450616576732213459495025798366834076987
Found probable prime factor of 43 digits: 1427450616576732213459495025798366834076987

23231494974783848303367213655494828168990441078962636391604988146050159016570991687251546186469610240917617944818215718672039475541223<134>

33894354205847163116903266014183851943727225491799170931007539<62>
685408986809258934212178547555123961543039371859546888012233070501778557<72>

Number: 79993_213
N = 23231494974783848303367213655494828168990441078962636391604988146050159016570991687251546186469610240917617944818215718672039475541223 (134 digits)
Divisors found:
r1=33894354205847163116903266014183851943727225491799170931007539 (pp62)
r2=685408986809258934212178547555123961543039371859546888012233070501778557 (pp72)
Version: Msieve v. 1.51 (SVN 845)
Total time: 139.55 hours.
Factorization parameters were as follows:
# Murphy_E = 4.682e-11, selected by suberi
n: 23231494974783848303367213655494828168990441078962636391604988146050159016570991687251546186469610240917617944818215718672039475541223
Y0: -141606537480916194783684233
Y1: 43062120881003
c0: 3176522124099447047299839883365840
c1: 9493272554807746832288751000
c2: -1611537092086941820923
c3: -15276215769712450
c4: 1472313806
c5: 408
skew: 1879350.27
type: gnfs
# selected mechanically
rlim: 12100000
alim: 12100000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 12100000/12100000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 21077897
Relations: 2680414 relations
Pruned matrix : 1645337 x 1645564
Polynomial selection time: 0.00 hours.
Total sieving time: 136.99 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 2.06 hours.
time per square root: 0.38 hours.
Prototype def-par.txt line would be: gnfs,133,5,65,2000,1e-05,0.28,250,20,50000,3600,12100000,12100000,28,28,54,54,2.6,2.6,100000
total time: 139.55 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz

GGNFS, Msieve

6281023242759748380136196280253186478346403710838386563906633884995451083720847214271282119364469128159648185314485370772903921686480790117112908933387038585996766532486619523<175>

1490250079617745003878211437238077276358677134611922917475296821167349964161547094719763957060210467466132036506928163374825935558968878926457047040707080316478031233131664917052289773<184>

414520767275555876224096328275903316230211131<45>

3595115606420485497229843552271010395531827467505869845064178481441513718587417912627103766925420013011474740494784348466599271866254708983<139>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3013393401
Step 1 took 93697ms
Step 2 took 33414ms
********** Factor found in step 2: 414520767275555876224096328275903316230211131
Found probable prime factor of 45 digits: 414520767275555876224096328275903316230211131

3595115606420485497229843552271010395531827467505869845064178481441513718587417912627103766925420013011474740494784348466599271866254708983<139>

160704238222454303818874221352570080578715838857<48>
22371006802222345581914100104679926815643744070260170075939200544901375256675848598470805119<92>

Number: 79993_215
N = 3595115606420485497229843552271010395531827467505869845064178481441513718587417912627103766925420013011474740494784348466599271866254708983 (139 digits)
Divisors found:
r1=160704238222454303818874221352570080578715838857 (pp48)
r2=22371006802222345581914100104679926815643744070260170075939200544901375256675848598470805119 (pp92)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 161.25 hours.
Factorization parameters were as follows:
# Murphy_E = 2.587e-11, selected by Erik Branger
# expecting poly E from 2.51e-011 to > 2.89e-011
n: 3595115606420485497229843552271010395531827467505869845064178481441513718587417912627103766925420013011474740494784348466599271866254708983
Y0: -1269107003430624593594576999
Y1: 360938769086291
c0: 16990971147766268661213677729872440
c1: -6820888214494293121024782208
c2: 4147308942817996124457
c3: -16091533810855944
c4: -8678728504
c5: 1092
skew: 2360514.47
type: gnfs
# selected mechanically
rlim: 16700000
alim: 16700000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 16700000/16700000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23140636
Relations: 3893750 relations
Pruned matrix : 2409417 x 2409641
Polynomial selection time: 0.00 hours.
Total sieving time: 156.65 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 4.36 hours.
time per square root: 0.10 hours.
Prototype def-par.txt line would be: gnfs,138,5,65,2000,1e-05,0.28,250,20,50000,3600,16700000,16700000,28,28,55,55,2.6,2.6,100000
total time: 161.25 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz

GGNFS, Msieve

16768986190759501147408872835031248346086361814887968542258123381737983588865137427395749228649433815092554985858741630963582636986902447965592231287733572117975836948620489929619674227836243444153751<200>

9160678400740006366524784979944271143006779413249203413528568426320423001747<76>
1830539776334129365216528197506942482413297829220699142676728682461778426295144153761719854373890944782767769332726499476333<124>

Number: n
N=16768986190759501147408872835031248346086361814887968542258123381737983588865137427395749228649433815092554985858741630963582636986902447965592231287733572117975836948620489929619674227836243444153751  ( 200 digits)
SNFS difficulty: 216 digits.
Divisors found:

Sun Nov  8 14:30:23 2020  p76 factor: 9160678400740006366524784979944271143006779413249203413528568426320423001747
Sun Nov  8 14:30:23 2020  p124 factor: 1830539776334129365216528197506942482413297829220699142676728682461778426295144153761719854373890944782767769332726499476333
Sun Nov  8 14:30:23 2020  elapsed time 05:19:51 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.341).
Factorization parameters were as follows:
#
# N = 8x10^216-7 = 79(215)3
#
n: 16768986190759501147408872835031248346086361814887968542258123381737983588865137427395749228649433815092554985858741630963582636986902447965592231287733572117975836948620489929619674227836243444153751
m: 10000000000000000000000000000000000000000000
deg: 5
c5: 80
c0: -7
skew: 0.61
# Murphy_E = 3.048e-12
type: snfs
lss: 1
rlim: 29000000
alim: 29000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 29000000/29000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 56100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10686121 hash collisions in 62842923 relations (53995164 unique)
Msieve: matrix is 3662454 x 3662679 (1278.2 MB)

Sieving start time: 2020/11/07 11:59:45
Sieving end time  : 2020/11/08 09:09:12

Total sieving time: 21hrs 9min 27secs.

Total relation processing time: 4hrs 57min 29sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 58sec.

Prototype def-par.txt line would be:
snfs,216,5,0,0,0,0,0,0,0,0,29000000,29000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118294] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16242460K/16727236K available (14339K kernel code, 2398K rwdata, 4956K rodata, 2716K init, 4988K bss, 484776K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798568)
[    0.152036] smpboot: Total of 16 processors activated (102388.54 BogoMIPS)

14621353353315267398269516107071009487616687458193193411752467390774617516672051947030578319209719390249527840090939728934915618017871933583572422139991808898880575843609866486246767317<185>

9067308783647177542054883108624319221<37>

1612535064393612249481274280085470583578265738513996946626155096181203422934243018388615672231311014169845968851939867720129897077075121170415201377<148>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3722770698
Step 1 took 5220ms
Step 2 took 2857ms
********** Factor found in step 2: 9067308783647177542054883108624319221
Found probable prime factor of 37 digits: 9067308783647177542054883108624319221
Composite cofactor 

1612535064393612249481274280085470583578265738513996946626155096181203422934243018388615672231311014169845968851939867720129897077075121170415201377<148>

752431010542271432783413698377309617584872618851377899784152061860888281<72>
2143100220220150446037629247818098148154277885588118793484778012643398972617<76>

Number: 79993_217
N = 1612535064393612249481274280085470583578265738513996946626155096181203422934243018388615672231311014169845968851939867720129897077075121170415201377 (148 digits)
SNFS difficulty: 220 digits.
Divisors found:
r1=752431010542271432783413698377309617584872618851377899784152061860888281 (pp72)
r2=2143100220220150446037629247818098148154277885588118793484778012643398972617 (pp76)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 58.39 hours.
Factorization parameters were as follows:
n: 1612535064393612249481274280085470583578265738513996946626155096181203422934243018388615672231311014169845968851939867720129897077075121170415201377
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 1
c0: -875
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 22369621
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/22369621
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 33462039
Relations: 8415672 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 25.65 hours.
Total relation processing time: 0.34 hours.
Pruned matrix : 7280192 x 7280417
Matrix solve time: 32.19 hours.
time per square root: 0.21 hours.
Prototype def-par.txt line would be: snfs,220,4,0,0,0,0,0,0,0,0,536870912,22369621,29,28,58,56,2.8,2.8,100000
total time: 58.39 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

42444851207590060279408902651906133849712752487808643512698160956400082678304444839074623230461771196632172788545714626212794062991377891242849027888949811039053304868883034211058721803247542588448903873498663<209>

14477338520668272466536661091<29>

2931813133124886706421434033857511411809616395543190394965481727405603977302747062916164537691510531431966722852293091911902364699491740604590320412247898589517945741498861341789293<181>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3899795736
Step 1 took 5811ms
Step 2 took 3049ms
********** Factor found in step 2: 14477338520668272466536661091
Found probable prime factor of 29 digits: 14477338520668272466536661091
Composite cofactor 

24165972944160280526663250550388071239149706382773883760929874165947106553201032013093807668969102901801749875871970024046522581834430828726664685944304531938419386821265979<173>

1272722520411802419307557941876412264300435482391894320313182156220415477964483<79>
18987621069470140461850463683688754671626716031865873064147821525750983420575003874636125871913<95>

Number: 79993_220
N = 24165972944160280526663250550388071239149706382773883760929874165947106553201032013093807668969102901801749875871970024046522581834430828726664685944304531938419386821265979 (173 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=1272722520411802419307557941876412264300435482391894320313182156220415477964483 (pp79)
r2=18987621069470140461850463683688754671626716031865873064147821525750983420575003874636125871913 (pp95)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 69.51 hours.
Factorization parameters were as follows:
n: 24165972944160280526663250550388071239149706382773883760929874165947106553201032013093807668969102901801749875871970024046522581834430828726664685944304531938419386821265979
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 8
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: 7388190 relations
Pruned matrix : 6549303 x 6549528
Total pre-computation time approximately 300 CPU-days.
Pre-computation saved approximately 8 G relations.
Total batch smoothness checking time: 33.46 hours.
Total relation processing time: 0.39 hours.
Matrix solve time: 35.47 hours.
time per square root: 0.19 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000
total time: 69.51 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

954533311363158283457973509075643066108948761725696000946897044872253017190309721003037921580077171631890432939321868513274993052787243235013618207436554258835309475807293565168793108364945289133509261777061824764627<216>

3624951097442584408334972016561034205737<40>

263323086492555679026785803885024949200100397173758223268154381340439774467499656554214990989886085417161773940756591774068608369743870281174053874601838524717903574532716962971<177>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3074652551
Step 1 took 30754ms
Step 2 took 11874ms
********** Factor found in step 2: 3624951097442584408334972016561034205737
Found probable prime factor of 40 digits: 3624951097442584408334972016561034205737

263323086492555679026785803885024949200100397173758223268154381340439774467499656554214990989886085417161773940756591774068608369743870281174053874601838524717903574532716962971<177>

372533420619710042392144269624785662549133162717123792824562511998615316918963163<81>
706844196836131458597259835784324509254726839432535893288574321380693767661496773954456992548417<96>

Number: 79993_222
N = 263323086492555679026785803885024949200100397173758223268154381340439774467499656554214990989886085417161773940756591774068608369743870281174053874601838524717903574532716962971 (177 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=372533420619710042392144269624785662549133162717123792824562511998615316918963163 (pp81)
r2=706844196836131458597259835784324509254726839432535893288574321380693767661496773954456992548417 (pp96)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 39.18 hours.
Factorization parameters were as follows:
n: 263323086492555679026785803885024949200100397173758223268154381340439774467499656554214990989886085417161773940756591774068608369743870281174053874601838524717903574532716962971
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 800
c0: -7
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 33604208
Relations: 8750984 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 18.48 hours.
Total relation processing time: 0.28 hours.
Pruned matrix : 7544115 x 7544340
Matrix solve time: 20.25 hours.
time per square root: 0.16 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 39.18 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

148861755261754293357389031760976433645683733173460203292064128779719204069039021753258247768098136804103522744520252479439955067980221351368486766109197179983826076840228966645870351<183>

431087257356893939809877174629620413017<39>

345316992607166653925284306624359941181175426712807413103212924581389919249566626868566959852115568181518394896431866940185130694253331099348903<144>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4001989237
Step 1 took 13770ms
********** Factor found in step 1: 431087257356893939809877174629620413017
Found probable prime factor of 39 digits: 431087257356893939809877174629620413017
Composite cofactor 

345316992607166653925284306624359941181175426712807413103212924581389919249566626868566959852115568181518394896431866940185130694253331099348903<144>

6450842873649112809844937870634966999319167382633<49>
53530522967431655461657647965167738110121773604466103449210959320828078901505371096167108002191<95>

Number: 79993_223
N = 345316992607166653925284306624359941181175426712807413103212924581389919249566626868566959852115568181518394896431866940185130694253331099348903 (144 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=6450842873649112809844937870634966999319167382633 (pp49)
r2=53530522967431655461657647965167738110121773604466103449210959320828078901505371096167108002191 (pp95)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 66.32 hours.
Factorization parameters were as follows:
n: 345316992607166653925284306624359941181175426712807413103212924581389919249566626868566959852115568181518394896431866940185130694253331099348903
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 8000
c0: -7
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 22369621
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/22369621
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 32515999
Relations: 10247636 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 33.51 hours.
Total relation processing time: 0.46 hours.
Pruned matrix : 8711302 x 8711527
Matrix solve time: 32.11 hours.
time per square root: 0.23 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,22369621,29,28,58,56,2.8,2.8,100000
total time: 66.32 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

178430315244005448939760832910980784959568797948852348379067677653041007902658365708642327922190391832595341795012910203903827754279324304853206594090089846669345609011305108576730380992610212364837176624224188808843<216>

95314490306588599118046594576353571705936734011<47>
2185215931993662630864599703204987951757261230921527173277<58>
856673543246518365609614869570701946495090788518711408056721823293035994364669966583118707800441316214272896869<111>

GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 178430315244005448939760832910980784959568797948852348379067677653041007902658365708642327922190391832595341795012910203903827754279324304853206594090089846669345609011305108576730380992610212364837176624224188808843 (216 digits)
Using B1=25750000, B2=96191014936, polynomial Dickson(12), sigma=1:3870663017
Step 1 took 393594ms
Step 2 took 88453ms
********** Factor found in step 2: 95314490306588599118046594576353571705936734011
Found probable prime factor of 47 digits: 95314490306588599118046594576353571705936734011
Composite cofactor 1872016675219753879588646808509841678563370451145032353427157229180502245614217560376033465837673237235841813094124193614219504497726126716527479201742298363563713769713 has 169 digits



Number: n
N=1872016675219753879588646808509841678563370451145032353427157229180502245614217560376033465837673237235841813094124193614219504497726126716527479201742298363563713769713  ( 169 digits)
SNFS difficulty: 225 digits.
Divisors found:

Sat Jul 18 10:43:47 2020  p58 factor: 2185215931993662630864599703204987951757261230921527173277
Sat Jul 18 10:43:47 2020  p111 factor: 856673543246518365609614869570701946495090788518711408056721823293035994364669966583118707800441316214272896869
Sat Jul 18 10:43:47 2020  elapsed time 12:08:52 (Msieve 1.54 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.124).
Factorization parameters were as follows:
#
# N = 8x10^224-7 = 79(223)3
#
# n: 178430315244005448939760832910980784959568797948852348379067677653041007902658365708642327922190391832595341795012910203903827754279324304853206594090089846669345609011305108576730380992610212364837176624224188808843
#
# Found probable prime factor of 47 digits: 95314490306588599118046594576353571705936734011
# Composite cofactor 1872016675219753879588646808509841678563370451145032353427157229180502245614217560376033465837673237235841813094124193614219504497726126716527479201742298363563713769713 has 169 digits
#
n: 1872016675219753879588646808509841678563370451145032353427157229180502245614217560376033465837673237235841813094124193614219504497726126716527479201742298363563713769713
m: 20000000000000000000000000000000000000
deg: 6
c6: 25
c0: -14
skew: 0.91
# Murphy_E = 1.864e-12
type: snfs
lss: 1
rlim: 40000000
alim: 40000000
lpbr: 29
lpba: 29
mfbr: 59
mfba: 59
rlambda: 2.7
alambda: 2.7
Factor base limits: 40000000/40000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 59/59
Sieved  special-q in [100000, 103200000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9976117 hash collisions in 60017446 relations (52306249 unique)
Msieve: matrix is 4971604 x 4971829 (1754.4 MB)

Sieving start time: 2020/07/15 15:28:37
Sieving end time  : 2020/07/17 22:33:54

Total sieving time: 55hrs 5min 17secs.

Total relation processing time: 11hrs 38min 57sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 9min 41sec.

Prototype def-par.txt line would be:
snfs,225,6,0,0,0,0,0,0,0,0,40000000,40000000,29,29,59,59,2.7,2.7,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149875] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283136K/16703460K available (12300K kernel code, 2481K rwdata, 4272K rodata, 2436K init, 2720K bss, 420324K reserved, 0K cma-reserved)
[    0.184729] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.29 BogoMIPS (lpj=11976592)
[    0.182226] smpboot: Total of 16 processors activated (95812.73 BogoMIPS)

16846849729852104984257557838703495690321502356458809088087569328412010689378935911967472321001992279919020445464057662220430989449081910829528461932228799898411900222022918532829244750026011716675340802889<206>

799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993<228>

31867890076591464519469812354746107<35>
25103638743489937484671960122820960207964817399337673136536899534091137522059490355275356089664117302663487461906601025022105775357709033154684770992782954165724283878220760717630992988204102299<194>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3075338089
Step 1 took 6146ms
Step 2 took 2847ms
********** Factor found in step 2: 31867890076591464519469812354746107
Found probable prime factor of 35 digits: 31867890076591464519469812354746107
Probable prime cofactor 

297736056032315549715603056351879992573730320736834153262709498228398524198830834038348609181330852323367296824404583267833636409628278576886056402234229755104843663380318000970035997584809830248434734837079<207>

169246215658706772997638507839675014968940269439377838071170306037261888811706668934091901398643866171948160835187248409278013354817845980127809296432279414702076643293591500184739345728868443580856427644919327<210>

182485212656691156598823741901174523229246769062806797122479242620731522462439300305151766352689175467546128300430053472954274293251328032151696293363629545716079904292750322084430565252255411<192>

162491222197526374635258143103295052919169616903078629427011233489707996478628914125248926160774780044181889229294796595842815612532847371640000145135257795818188279638335409672510186868623705125943907475992167<210>

6915294731328686413875638035453457<34>
7140248064063519182781436543590509<34>
3290833506770406302038225563014483414832689618185943896949570893641776804381325677973928734858151826089958347638093100576736657849215409235059<142>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1246758587
Step 1 took 5779ms
Step 2 took 3057ms
********** Factor found in step 2: 7140248064063519182781436543590509
Found probable prime factor of 34 digits: 7140248064063519182781436543590509
Composite cofactor 

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3815733278
Step 1 took 5401ms
Step 2 took 2602ms
********** Factor found in step 2: 6915294731328686413875638035453457
Found probable prime factor of 34 digits: 6915294731328686413875638035453457
Composite cofactor

916096472620929328701204658423841264456036604428525006745310088293505474556728521053306888835720582628401768875107209814436516413729260190686862391037513853497732240328688995197<177>

46849398712522550034980668688183880564609814480596899708558838204051353239287073731595034640248449502539416655826017110836831408768269008568300757913375671<155>

6558152060300290877550601740451177<34>

7143688996802151824028059014932044385967453035936167289797539064334681389520582636470720758638021801277295412793489441823<121>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3580559498
Step 1 took 3866ms
Step 2 took 1957ms
********** Factor found in step 2: 6558152060300290877550601740451177
Found probable prime factor of 34 digits: 6558152060300290877550601740451177
Composite cofactor 

7143688996802151824028059014932044385967453035936167289797539064334681389520582636470720758638021801277295412793489441823<121>

310871838863970851837873039148987290271053<42>
22979530802492656223700252270483897584911589207664051018853023345391430374392091<80>

N=7143688996802151824028059014932044385967453035936167289797539064334681389520582636470720758638021801277295412793489441823
  ( 121 digits)
Divisors found:
 r1=310871838863970851837873039148987290271053 (pp42)
 r2=22979530802492656223700252270483897584911589207664051018853023345391430374392091 (pp80)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 54.10 hours.
Scaled time: 53.50 units (timescale=0.989).
Factorization parameters were as follows:
n: 7143688996802151824028059014932044385967453035936167289797539064334681389520582636470720758638021801277295412793489441823
skew: 135692.05
c0: 29844392099218511875365779775
c1: 575155448734950382677708
c2: -415014048803398879429
c3: -932764817103262
c4: 4148672136
c5: 23760
Y0: -197521859552434327504376
Y1: 716191146881
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 240000
type: gnfs
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2550000, 4710001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 727109 x 727356
Total sieving time: 52.91 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 0.80 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
gnfs,120,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5100000,5100000,27,27,54,54,2.5,2.5,100000
total time: 54.10 hours.
 --------- CPU info (if available) ----------

1847697615988981107451240432047225931584251804378922787624441943642178630513734376362640903947811281958034911595140702161909450811401280037330143554394978702501881192909333831355589754950004432049175252569120179447283846280251767<229>

287797173395428237064828263253386653467511877112575796613208714571780123146543505413779643976084943804394417743689743764281931820485487243562596215976082394277811632511458896549916901877552553013414659360972302424060623401<222>

883325548678326294539659038241740912173351<42>
325810992137659845028958084745310990581547353883185098896671640745571475388797662104359281227540941678238601650288386795696035448927100689781323042238689048552279414062993787157551<180>

Run 88 out of 422:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3417269573
Step 1 took 79919ms
Step 2 took 23544ms
********** Factor found in step 2: 883325548678326294539659038241740912173351
Found probable prime factor of 42 digits: 883325548678326294539659038241740912173351
Probable prime cofactor 325810992137659845028958084745310990581547353883185098896671640745571475388797662104359281227540941678238601650288386795696035448927100689781323042238689048552279414062993787157551 has 180 digits

GMP-ECM 6.4.4

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

410041751518762259381813165283513162657912464460207077808985232771864940568008466393245095707417344911909065895065215184050078850445596761065545307792697723201990227309314458533495462036969347225257173212062771209<213>

648996660298767072816083483406312429332448797987148671752791798516014443209218365814839889061497704222060616833444867569909682181364532482635548867968005452254254271368277056409086405658726145567493062222345460491972868294179<225>

34169209635820621322298974191221970367398406419<47>

18993610540479231398503013184279177669736010354287734003374634563720192944236591157643566561136900850261730807890726346902455343769744675202645119059434028350873945289327718949041<179>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=58846024
Step 1 took 352265ms
Step 2 took 90733ms
********** Factor found in step 2: 34169209635820621322298974191221970367398406419
Found probable prime factor of 47 digits: 34169209635820621322298974191221970367398406419
Composite cofactor 18993610540479231398503013184279177669736010354287734003374634563720192944236591157643566561136900850261730807890726346902455343769744675202645119059434028350873945289327718949041 has 179 digits

804837086232883218526825818460769366198473662971244127934037625844694481743832461291338536139165299945919032045011011554252191662560508464753086957843571250768294991802338118691949775241<186>

2322696155955979244065730381009813272639<40>
346509845538374776500939832339733227061843683099587885205199719871411476572737740391234166138808536858844414953759470799717486553533852969794980919<147>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=202104645
Step 1 took 29753ms
Step 2 took 11312ms
********** Factor found in step 2: 2322696155955979244065730381009813272639
Found probable prime factor of 40 digits: 2322696155955979244065730381009813272639

29846326337626837131806686981418688158734732185285437435644995640426353561884382335942827114849313080632264629454177878580940922512420760479717760209455123108575881339933444647218210245444046712176172013<203>

204758575705349481153450918816623691234307027009110435316628137227126351612381874262073127392550395879362276463132937229437014326791441517539059132717095841418035992579243905590977167511804813826968559209<204>

4011920395978010604644659141091133476265304197337<49>
51037546983888801454685302307714087989132302470294741049781220663989541421527058358588588794888464572776155984892247956503779095092286088224932154482903057<155>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1756555556
Step 1 took 335873ms
Step 2 took 89721ms
********** Factor found in step 2: 4011920395978010604644659141091133476265304197337
Found probable prime factor of 49 digits: 4011920395978010604644659141091133476265304197337
Probable prime cofactor 51037546983888801454685302307714087989132302470294741049781220663989541421527058358588588794888464572776155984892247956503779095092286088224932154482903057 has 155 digits

7057919174135532064020084995997782414609304304615869825109040915241731787006723406804643422058069700929286936126730957948591403888708455812470612332102920803174895477065139817651780900711<187>

58679511213945584314364173540448593551537227646382566638499222975270786730361568408049168731171857804372603088632222699005515668367020708352616494583853312967156345453498538435947435277292879597537915996339439941280845084316807690709794967<239>

15819465789706863515912189887624889600422992102054403456907050692826180745844912301232031775509227576063766169543020843817393578161405657258620875361735003458188864879746947065129611<182>

14883212274023611019895085590616075142582003162548583780805491187088398000814605085298299992708654125117795629739420355383255535594357290545898678817189386178669267933703133444300485686805307861299754768781586957010534349287<224>

288416449125555575704649154188118691588683966197736370709449305202971453729583405152033503608396221037896154864347108619689707884249393847767092469089597975951043326676080819913165738620646168933662017525697635226665946586932016529579324059278376997<249>

7808495318986055942108349458641111262820900450458420167707041347208757408389063866638955588208753871792267952039323395257868686737570014288048867308141<151>