433302546992856183509724262935279605131922087535463030099210670005076019370965697475979780978961<96>

38559791460687524980209425164202191<35>
11237160020292556719370869730326835581579154261407198099517471<62>

Number: 86669_119
N=433302546992856183509724262935279605131922087535463030099210670005076019370965697475979780978961
  ( 96 digits)
SNFS difficulty: 120 digits.
Divisors found:
 r1=38559791460687524980209425164202191 (pp35)
 r2=11237160020292556719370869730326835581579154261407198099517471 (pp62)
Version: Msieve-1.40
Total time: 1.39 hours.
Scaled time: 2.82 units (timescale=2.022).
Factorization parameters were as follows:
name: 86669_119
n: 433302546992856183509724262935279605131922087535463030099210670005076019370965697475979780978961
m: 200000000000000000000000
deg: 5
c5: 8125
c0: 7
skew: 0.24
type: snfs
lss: 1
rlim: 710000
alim: 710000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 710000/710000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [355000, 555001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 72557 x 72789
Total sieving time: 1.36 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,120.000,5,0,0,0,0,0,0,0,0,710000,710000,25,25,46,46,2.2,2.2,50000
total time: 1.39 hours.
 --------- CPU info (if available) ----------

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

111503162979905318713730108800047213853466851022176530902086096096652799046755757642543835330625765611885611753<111>

8235766451711609100706173611537512064252799111357521837<55>
13538893269215037755308383127483576852786778898735665069<56>

Number: 86669_122
N=111503162979905318713730108800047213853466851022176530902086096096652799046755757642543835330625765611885611753
  ( 111 digits)
SNFS difficulty: 123 digits.
Divisors found:
 r1=8235766451711609100706173611537512064252799111357521837 (pp55)
 r2=13538893269215037755308383127483576852786778898735665069 (pp56)
Version: Msieve-1.40
Total time: 1.59 hours.
Scaled time: 3.31 units (timescale=2.082).
Factorization parameters were as follows:
name: 86669_122
n: 111503162979905318713730108800047213853466851022176530902086096096652799046755757642543835330625765611885611753
m: 1000000000000000000000000
deg: 5
c5: 2600
c0: 7
skew: 0.31
type: snfs
lss: 1
rlim: 800000
alim: 800000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [400000, 650001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 77663 x 77902
Total sieving time: 1.55 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,123.000,5,0,0,0,0,0,0,0,0,800000,800000,25,25,46,46,2.2,2.2,50000
total time: 1.59 hours.
 --------- CPU info (if available) ----------

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

474435821113178645699075567249888105510488834694977598377084578906788432541105273162926801279574479732789645113474433<117>

1087948942803101303763157559634735308740474459971529<52>
436082799888379302785359948687036665726688460477609234260094352377<66>

Number: z1
N=474435821113178645699075567249888105510488834694977598377084578906788432541105273162926801279574479732789645113474433
  ( 117 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=1087948942803101303763157559634735308740474459971529 (pp52)
 r2=436082799888379302785359948687036665726688460477609234260094352377 (pp66)
Version: Msieve-1.40
Total time: 2.39 hours.
Scaled time: 4.57 units (timescale=1.916).
Factorization parameters were as follows:
n: 474435821113178645699075567249888105510488834694977598377084578906788432541105273162926801279574479732789645113474433
m: 200000000000000000000000000
deg: 5
c5: 8125
c0: 7
skew: 0.24
type: snfs
lss: 1
rlim: 1260000
alim: 1260000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1260000/1260000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [630000, 1080001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 166480 x 166706
Total sieving time: 2.28 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,135.000,5,0,0,0,0,0,0,0,0,1260000,1260000,26,26,47,47,2.3,2.3,75000
total time: 2.39 hours.
 --------- CPU info (if available) ----------

4657338300619627923058636629151955665412272946664687378470912498791103243017439322851222803218344027330192748623929<115>

61886344232926249391977754360521309<35>
75256316370707831888947357754755557100143443492544131914472018353364423710263181<80>

Number: z6
N=4657338300619627923058636629151955665412272946664687378470912498791103243017439322851222803218344027330192748623929
  ( 115 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=61886344232926249391977754360521309 (pp35)
 r2=75256316370707831888947357754755557100143443492544131914472018353364423710263181 (pp80)
Version: Msieve-1.40
Total time: 2.84 hours.
Scaled time: 5.25 units (timescale=1.850).
Factorization parameters were as follows:
n: 4657338300619627923058636629151955665412272946664687378470912498791103243017439322851222803218344027330192748623929
m: 1000000000000000000000000000
deg: 5
c5: 2600
c0: 7
skew: 0.31
type: snfs
lss: 1
rlim: 1420000
alim: 1420000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1420000/1420000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [710000, 1235001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 207789 x 208015
Total sieving time: 2.73 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,138.000,5,0,0,0,0,0,0,0,0,1420000,1420000,26,26,48,48,2.3,2.3,75000
total time: 2.84 hours.
 --------- CPU info (if available) ----------

19878310704281820576140470357831515769586432161515981520242899847585299302700281869746485283339939879779117<107>

507121372815224205765990855036343<33>
39198329571340553724465816201484331391710727522436115462597606343731740219<74>

Number: zz1
N=19878310704281820576140470357831515769586432161515981520242899847585299302700281869746485283339939879779117
  ( 107 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=507121372815224205765990855036343 (pp33)
 r2=39198329571340553724465816201484331391710727522436115462597606343731740219 (pp74)
Version: Msieve-1.40
Total time: 5.03 hours.
Scaled time: 9.16 units (timescale=1.823).
Factorization parameters were as follows:
n: 19878310704281820576140470357831515769586432161515981520242899847585299302700281869746485283339939879779117
m: 10000000000000000000000000000
deg: 5
c5: 2600
c0: 7
skew: 0.31
type: snfs
lss: 1
rlim: 1720000
alim: 1720000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1720000/1720000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [860000, 1760001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 207971 x 208196
Total sieving time: 4.92 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,143.000,5,0,0,0,0,0,0,0,0,1720000,1720000,26,26,48,48,2.3,2.3,100000
total time: 5.03 hours.
 --------- CPU info (if available) ----------

1963529337892914532645643951024711084306017390483760321925133023194169124819642882812424734885720447306717747654562813919579<124>

6300813949302770075823515704956431110457081456960513<52>
311631061271090703109353650017369574815444565879475033554035493831669083<72>

Number: zz3
N=1963529337892914532645643951024711084306017390483760321925133023194169124819642882812424734885720447306717747654562813919579
  ( 124 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=6300813949302770075823515704956431110457081456960513 (pp52)
 r2=311631061271090703109353650017369574815444565879475033554035493831669083 (pp72)
Version: Msieve-1.40
Total time: 5.59 hours.
Scaled time: 10.65 units (timescale=1.905).
Factorization parameters were as follows:
n: 1963529337892914532645643951024711084306017390483760321925133023194169124819642882812424734885720447306717747654562813919579
m: 10000000000000000000000000000
deg: 5
c5: 26000
c0: 7
skew: 0.19
type: snfs
lss: 1
rlim: 1790000
alim: 1790000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1790000/1790000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [895000, 1895001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 278820 x 279046
Total sieving time: 5.40 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,144.000,5,0,0,0,0,0,0,0,0,1790000,1790000,26,26,49,49,2.3,2.3,100000
total time: 5.59 hours.
 --------- CPU info (if available) ----------

18023786159482167634200065745755931584886348609552845281053242951978495235356231329726291390669496671<101>

13864026784202488250220134107012929737209487<44>
1300039767668334364379738856003702488118272837569593462833<58>

Number: 86669_144
N=18023786159482167634200065745755931584886348609552845281053242951978495235356231329726291390669496671
  ( 101 digits)
Divisors found:
 r1=13864026784202488250220134107012929737209487 (pp44)
 r2=1300039767668334364379738856003702488118272837569593462833 (pp58)
Version: Msieve-1.40
Total time: 5.44 hours.
Scaled time: 16.00 units (timescale=2.941).
Factorization parameters were as follows:
name: 86669_144
n: 18023786159482167634200065745755931584886348609552845281053242951978495235356231329726291390669496671
skew: 12516.67
# norm 1.69e+14
c5: 12600
c4: 590879360
c3: -6063157255207
c2: -25672619052798604
c1: -291011628823548297452
c0: -631284642533456390355040
# alpha -6.60
Y1: 18902844983
Y0: -17025135374312777463
# Murphy_E 3.34e-09
# M 11137599678622935320749615224949308763697922831945052794229539368399690541920116552670493891864125799
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 183718 x 183966
Polynomial selection time: 0.55 hours.
Total sieving time: 4.71 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
gnfs,100,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 5.44 hours.
 --------- CPU info (if available) ----------

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

2193895663673911256474230282119867138886439384586244972345350245789608397195150795227128959<91>

2417984618359434671767370980341964621099433<43>
907324077670285462680382780415001452768628674023<48>

Sun Feb 21 21:26:30 2010  Msieve v. 1.44
Sun Feb 21 21:26:30 2010  random seeds: 545c92a4 efad9324
Sun Feb 21 21:26:30 2010  factoring 2193895663673911256474230282119867138886439384586244972345350245789608397195150795227128959 (91 digits)
Sun Feb 21 21:26:30 2010  no P-1/P+1/ECM available, skipping
Sun Feb 21 21:26:30 2010  commencing number field sieve (91-digit input)
Sun Feb 21 21:26:30 2010  R0: -4683510853465649115428
Sun Feb 21 21:26:30 2010  R1:  512720843987
Sun Feb 21 21:26:30 2010  A0: -925289695155533541598665
Sun Feb 21 21:26:30 2010  A1:  168924589121085333582
Sun Feb 21 21:26:30 2010  A2:  1110771849565747
Sun Feb 21 21:26:30 2010  A3: -3356593514
Sun Feb 21 21:26:30 2010  A4:  4560
Sun Feb 21 21:26:30 2010  skew 263670.18, size 2.165228e-12, alpha -5.524420, combined = 4.576872e-08
Sun Feb 21 21:26:30 2010  factor base loaded:
Sun Feb 21 21:26:30 2010  151524 rational ideals (max prime = 2037169)
Sun Feb 21 21:26:30 2010  151574 algebraic ideals (max prime = 2037169)
Sun Feb 21 21:26:30 2010  a range: [-5897436, 5897436]
Sun Feb 21 21:26:30 2010  b range: [94, 4294967295]
Sun Feb 21 21:26:30 2010  number of hash buckets: 32
Sun Feb 21 21:26:30 2010  sieve block size: 65536
Sun Feb 21 21:26:30 2010  
Sun Feb 21 21:26:30 2010  maximum RFB prime: 2037169
Sun Feb 21 21:26:30 2010  RFB entries: 151524
Sun Feb 21 21:26:30 2010  medium RFB entries: 6542
Sun Feb 21 21:26:30 2010  resieved RFB entries: 6374
Sun Feb 21 21:26:30 2010  small RFB prime powers: 25
Sun Feb 21 21:26:30 2010  projective RFB roots: 4
Sun Feb 21 21:26:30 2010  RFB trial factoring cutoff: 54 or 82 bits
Sun Feb 21 21:26:30 2010  single large prime RFB range: 21 - 26 bits
Sun Feb 21 21:26:30 2010  double large prime RFB range: 42 - 50 bits
Sun Feb 21 21:26:30 2010  triple large prime RFB range: 66 - 76 bits
Sun Feb 21 21:26:30 2010  
Sun Feb 21 21:26:30 2010  maximum AFB prime: 2037169
Sun Feb 21 21:26:30 2010  AFB entries: 151574
Sun Feb 21 21:26:30 2010  medium AFB entries: 6539
Sun Feb 21 21:26:30 2010  resieved AFB entries: 6322
Sun Feb 21 21:26:30 2010  small AFB prime powers: 62
Sun Feb 21 21:26:30 2010  projective AFB roots: 4
Sun Feb 21 21:26:30 2010  AFB trial factoring cutoff: 54 or 82 bits
Sun Feb 21 21:26:30 2010  single large prime AFB range: 21 - 26 bits
Sun Feb 21 21:26:30 2010  double large prime AFB range: 42 - 50 bits
Sun Feb 21 21:26:30 2010  triple large prime AFB range: 66 - 76 bits
Sun Feb 21 21:26:30 2010  
Sun Feb 21 21:26:30 2010  multiplying 926348 primes from 2037169 to 16777216
Sun Feb 21 21:26:32 2010  multiply complete, product has 21259520 bits
Sat Feb 27 14:34:10 2010  completed b = 1220627, found 5471805 relations
Sat Feb 27 14:34:10 2010  elapsed time 137:07:40
Sat Feb 27 14:35:19 2010  
Sat Feb 27 14:35:19 2010  
Sat Feb 27 14:35:19 2010  Msieve v. 1.44
Sat Feb 27 14:35:19 2010  random seeds: 0528f40a dfb4343a
Sat Feb 27 14:35:19 2010  factoring 2193895663673911256474230282119867138886439384586244972345350245789608397195150795227128959 (91 digits)
Sat Feb 27 14:35:19 2010  no P-1/P+1/ECM available, skipping
Sat Feb 27 14:35:19 2010  commencing number field sieve (91-digit input)
Sat Feb 27 14:35:19 2010  R0: -4683510853465649115428
Sat Feb 27 14:35:19 2010  R1:  512720843987
Sat Feb 27 14:35:19 2010  A0: -925289695155533541598665
Sat Feb 27 14:35:19 2010  A1:  168924589121085333582
Sat Feb 27 14:35:19 2010  A2:  1110771849565747
Sat Feb 27 14:35:19 2010  A3: -3356593514
Sat Feb 27 14:35:19 2010  A4:  4560
Sat Feb 27 14:35:19 2010  skew 263670.18, size 2.165228e-12, alpha -5.524420, combined = 4.576872e-08
Sat Feb 27 14:35:19 2010  
Sat Feb 27 14:35:19 2010  commencing relation filtering
Sat Feb 27 14:35:19 2010  estimated available RAM is 7994.1 MB
Sat Feb 27 14:35:19 2010  commencing duplicate removal, pass 1
Sat Feb 27 14:35:47 2010  found 230548 hash collisions in 5717176 relations
Sat Feb 27 14:35:53 2010  added 161665 free relations
Sat Feb 27 14:35:53 2010  commencing duplicate removal, pass 2
Sat Feb 27 14:35:55 2010  found 0 duplicates and 5878841 unique relations
Sat Feb 27 14:35:55 2010  memory use: 16.3 MB
Sat Feb 27 14:35:55 2010  reading ideals above 100000
Sat Feb 27 14:35:55 2010  commencing singleton removal, initial pass
Sat Feb 27 14:36:34 2010  memory use: 172.2 MB
Sat Feb 27 14:36:34 2010  reading all ideals from disk
Sat Feb 27 14:36:34 2010  memory use: 184.2 MB
Sat Feb 27 14:36:35 2010  keeping 5788703 ideals with weight <= 200, target excess is 32263
Sat Feb 27 14:36:35 2010  commencing in-memory singleton removal
Sat Feb 27 14:36:35 2010  begin with 5878841 relations and 5788703 unique ideals
Sat Feb 27 14:36:39 2010  reduce to 3169750 relations and 2670915 ideals in 15 passes
Sat Feb 27 14:36:39 2010  max relations containing the same ideal: 135
Sat Feb 27 14:36:40 2010  removing 892857 relations and 662152 ideals in 230705 cliques
Sat Feb 27 14:36:41 2010  commencing in-memory singleton removal
Sat Feb 27 14:36:41 2010  begin with 2276893 relations and 2670915 unique ideals
Sat Feb 27 14:36:42 2010  reduce to 2120702 relations and 1839044 ideals in 8 passes
Sat Feb 27 14:36:42 2010  max relations containing the same ideal: 100
Sat Feb 27 14:36:42 2010  removing 691766 relations and 461061 ideals in 230705 cliques
Sat Feb 27 14:36:43 2010  commencing in-memory singleton removal
Sat Feb 27 14:36:43 2010  begin with 1428936 relations and 1839044 unique ideals
Sat Feb 27 14:36:43 2010  reduce to 1262641 relations and 1191842 ideals in 8 passes
Sat Feb 27 14:36:43 2010  max relations containing the same ideal: 69
Sat Feb 27 14:36:44 2010  removing 168470 relations and 135097 ideals in 33373 cliques
Sat Feb 27 14:36:44 2010  commencing in-memory singleton removal
Sat Feb 27 14:36:44 2010  begin with 1094171 relations and 1191842 unique ideals
Sat Feb 27 14:36:44 2010  reduce to 1077646 relations and 1039766 ideals in 7 passes
Sat Feb 27 14:36:44 2010  max relations containing the same ideal: 59
Sat Feb 27 14:36:45 2010  relations with 0 large ideals: 765
Sat Feb 27 14:36:45 2010  relations with 1 large ideals: 4736
Sat Feb 27 14:36:45 2010  relations with 2 large ideals: 28872
Sat Feb 27 14:36:45 2010  relations with 3 large ideals: 101522
Sat Feb 27 14:36:45 2010  relations with 4 large ideals: 211182
Sat Feb 27 14:36:45 2010  relations with 5 large ideals: 289887
Sat Feb 27 14:36:45 2010  relations with 6 large ideals: 240640
Sat Feb 27 14:36:45 2010  relations with 7+ large ideals: 200042
Sat Feb 27 14:36:45 2010  commencing 2-way merge
Sat Feb 27 14:36:45 2010  reduce to 693033 relation sets and 655153 unique ideals
Sat Feb 27 14:36:45 2010  commencing full merge
Sat Feb 27 14:36:53 2010  memory use: 67.9 MB
Sat Feb 27 14:36:53 2010  found 321847 cycles, need 317353
Sat Feb 27 14:36:53 2010  weight of 317353 cycles is about 22494265 (70.88/cycle)
Sat Feb 27 14:36:53 2010  distribution of cycle lengths:
Sat Feb 27 14:36:53 2010  1 relations: 25460
Sat Feb 27 14:36:53 2010  2 relations: 28317
Sat Feb 27 14:36:53 2010  3 relations: 31341
Sat Feb 27 14:36:53 2010  4 relations: 30962
Sat Feb 27 14:36:53 2010  5 relations: 29576
Sat Feb 27 14:36:53 2010  6 relations: 27519
Sat Feb 27 14:36:53 2010  7 relations: 24459
Sat Feb 27 14:36:53 2010  8 relations: 21749
Sat Feb 27 14:36:53 2010  9 relations: 18683
Sat Feb 27 14:36:53 2010  10+ relations: 79287
Sat Feb 27 14:36:53 2010  heaviest cycle: 24 relations
Sat Feb 27 14:36:53 2010  commencing cycle optimization
Sat Feb 27 14:36:54 2010  start with 2169045 relations
Sat Feb 27 14:36:57 2010  pruned 60022 relations
Sat Feb 27 14:36:57 2010  memory use: 66.1 MB
Sat Feb 27 14:36:57 2010  distribution of cycle lengths:
Sat Feb 27 14:36:57 2010  1 relations: 25460
Sat Feb 27 14:36:57 2010  2 relations: 28792
Sat Feb 27 14:36:57 2010  3 relations: 32352
Sat Feb 27 14:36:57 2010  4 relations: 31865
Sat Feb 27 14:36:57 2010  5 relations: 30533
Sat Feb 27 14:36:57 2010  6 relations: 28315
Sat Feb 27 14:36:57 2010  7 relations: 24943
Sat Feb 27 14:36:57 2010  8 relations: 22132
Sat Feb 27 14:36:57 2010  9 relations: 18847
Sat Feb 27 14:36:57 2010  10+ relations: 74114
Sat Feb 27 14:36:57 2010  heaviest cycle: 24 relations
Sat Feb 27 14:36:57 2010  RelProcTime: 98
Sat Feb 27 14:36:57 2010  
Sat Feb 27 14:36:57 2010  commencing linear algebra
Sat Feb 27 14:36:57 2010  read 317353 cycles
Sat Feb 27 14:36:58 2010  cycles contain 1048696 unique relations
Sat Feb 27 14:37:03 2010  read 1048696 relations
Sat Feb 27 14:37:04 2010  using 20 quadratic characters above 67103868
Sat Feb 27 14:37:09 2010  building initial matrix
Sat Feb 27 14:37:19 2010  memory use: 130.6 MB
Sat Feb 27 14:37:19 2010  read 317353 cycles
Sat Feb 27 14:37:19 2010  matrix is 317174 x 317353 (96.6 MB) with weight 31178022 (98.24/col)
Sat Feb 27 14:37:19 2010  sparse part has weight 21507191 (67.77/col)
Sat Feb 27 14:37:22 2010  filtering completed in 2 passes
Sat Feb 27 14:37:22 2010  matrix is 316898 x 317076 (96.5 MB) with weight 31165287 (98.29/col)
Sat Feb 27 14:37:22 2010  sparse part has weight 21503087 (67.82/col)
Sat Feb 27 14:37:22 2010  read 317076 cycles
Sat Feb 27 14:37:22 2010  matrix is 316898 x 317076 (96.5 MB) with weight 31165287 (98.29/col)
Sat Feb 27 14:37:22 2010  sparse part has weight 21503087 (67.82/col)
Sat Feb 27 14:37:22 2010  saving the first 48 matrix rows for later
Sat Feb 27 14:37:22 2010  matrix is 316850 x 317076 (92.9 MB) with weight 24655149 (77.76/col)
Sat Feb 27 14:37:22 2010  sparse part has weight 21189171 (66.83/col)
Sat Feb 27 14:37:22 2010  matrix includes 64 packed rows
Sat Feb 27 14:37:22 2010  using block size 65536 for processor cache size 8192 kB
Sat Feb 27 14:37:24 2010  commencing Lanczos iteration (4 threads)
Sat Feb 27 14:37:24 2010  memory use: 93.9 MB
Sat Feb 27 14:37:30 2010  linear algebra at 1.9%, ETA 0h 5m
Sat Feb 27 14:43:04 2010  lanczos halted after 5013 iterations (dim = 316849)
Sat Feb 27 14:43:05 2010  recovered 33 nontrivial dependencies
Sat Feb 27 14:43:05 2010  BLanczosTime: 368
Sat Feb 27 14:43:05 2010  
Sat Feb 27 14:43:05 2010  commencing square root phase
Sat Feb 27 14:43:05 2010  reading relations for dependency 1
Sat Feb 27 14:43:05 2010  read 158920 cycles
Sat Feb 27 14:43:05 2010  cycles contain 525368 unique relations
Sat Feb 27 14:43:08 2010  read 525368 relations
Sat Feb 27 14:43:10 2010  multiplying 525368 relations
Sat Feb 27 14:43:36 2010  multiply complete, coefficients have about 23.84 million bits
Sat Feb 27 14:43:36 2010  initial square root is modulo 7028209
Sat Feb 27 14:44:30 2010  sqrtTime: 85
Sat Feb 27 14:44:30 2010  prp43 factor: 2417984618359434671767370980341964621099433
Sat Feb 27 14:44:30 2010  prp48 factor: 907324077670285462680382780415001452768628674023
Sat Feb 27 14:44:30 2010  elapsed time 00:09:11

Msieve 1.44 64 bit

Ubuntu Linux 9.10 64 bit

76429398514981611615086638226930371936755465253273290124275429721045751690615452924559167112493623604163<104>

701310275433949373164370192868312662933<39>
108980862240595911358731286235616025095326678011037075275118904311<66>

Number: z0
N=76429398514981611615086638226930371936755465253273290124275429721045751690615452924559167112493623604163
  ( 104 digits)
Divisors found:
 r1=701310275433949373164370192868312662933 (pp39)
 r2=108980862240595911358731286235616025095326678011037075275118904311 (pp66)
Version: Msieve-1.40
Total time: 5.75 hours.
Scaled time: 10.93 units (timescale=1.899).
Factorization parameters were as follows:
name: z0
n: 76429398514981611615086638226930371936755465253273290124275429721045751690615452924559167112493623604163
skew: 5291.40
# norm 2.20e+014
c5: 157680
c4: -5147975676
c3: -4109983717457
c2: 115803430891991414
c1: 143524181346824567760
c0: 73599955015321705576320
# alpha -6.72
Y1: 84645373087
Y0: -54588500330558346299
# Murphy_E 2.47e-009
# M 16182870984094121617833953024739683648719493447525215769969209059486569190923918007171447305917837654346
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1150000, 1850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 241934 x 242166
Polynomial selection time: 0.64 hours.
Total sieving time: 4.93 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
gnfs,103,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 5.75 hours.
 --------- CPU info (if available) ----------

7162534435261707988980716253443526170798898071625344352617079889807162534435261707988980716253443526170798898071625344352617079889807162534435261707989<151>

5460198772394307584263638509358368165085950530153834002409<58>
1311771738324632999960796383592163267332397974555442815549092642505958500626991340716393668621<94>

Number: cv1
N=7162534435261707988980716253443526170798898071625344352617079889807162534435261707988980716253443526170798898071625344352617079889807162534435261707989
  ( 151 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=5460198772394307584263638509358368165085950530153834002409 (pp58)
 r2=1311771738324632999960796383592163267332397974555442815549092642505958500626991340716393668621 (pp94)
Version: Msieve-1.40
Total time: 11.04 hours.
Scaled time: 20.67 units (timescale=1.872).
Factorization parameters were as follows:
n: 7162534435261707988980716253443526170798898071625344352617079889807162534435261707988980716253443526170798898071625344352617079889807162534435261707989
m: 1000000000000000000000000000000
deg: 5
c5: 2600
c0: 7
skew: 0.31
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1250000, 1850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 472780 x 473007
Total sieving time: 10.64 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.28 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,153.000,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 11.04 hours.
 --------- CPU info (if available) ----------

165400930856408769742595990133091171707180586560149863983204099328210508447608056903033797299613<96>

154884448263984658917353806610881963499<39>
1067898893079954965489268472394083806456638522327678324887<58>

Number: 86669_154
N = 165400930856408769742595990133091171707180586560149863983204099328210508447608056903033797299613 (96 digits)
Divisors found:
r1=154884448263984658917353806610881963499 (pp39)
r2=1067898893079954965489268472394083806456638522327678324887 (pp58)
Version: Msieve v. 1.47
Total time: 2.12 hours.
Factorization parameters were as follows:
n: 165400930856408769742595990133091171707180586560149863983204099328210508447608056903033797299613
Y0: -90009076251899390458970
Y1: 4033510879813
c0: -78040266782671824179481387
c1: 1763375018161236868998
c2: -1201556865147313
c3: -1011205578
c4: 2520
skew: 821667.69 
type: gnfs
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Sieved algebraic special-q in [600000, 840000)
Relations: 2175929
Relations in full relation-set: 192726 relations
Pruned matrix : 117927 x 118158
Polynomial selection time: 0.29 hours.
Total sieving time: 1.78 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
time per square root: 0.01 hours.
Prototype def-par.txt line would be: gnfs,95,4,60,2000,0.0001,0.3,220,15,10000,600,1200000,1200000,25,25,45,45,2.4,2.4,60000
total time: 2.12 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

354205386464820088964330119170246740335486848557476065489360355445480268943917801023539282801210273928010975376741<114>

9547225387747313156531853653553278841161367974610055087<55>
37100348224668398165692348887687340633290362946022961184043<59>

Number: cv114
N=354205386464820088964330119170246740335486848557476065489360355445480268943917801023539282801210273928010975376741
  ( 114 digits)
Divisors found:
 r1=9547225387747313156531853653553278841161367974610055087 (pp55)
 r2=37100348224668398165692348887687340633290362946022961184043 (pp59)
Version: Msieve-1.40
Total time: 20.91 hours.
Scaled time: 39.36 units (timescale=1.882).
Factorization parameters were as follows:
name: cv114
n: 354205386464820088964330119170246740335486848557476065489360355445480268943917801023539282801210273928010975376741
skew: 56088.03
# norm 8.05e+015
c5: 15480
c4: -5398091832
c3: -69513226901173
c2: 13780231042505212960
c1: 275677351886141024494076
c0: -2133868066309007946144762720
# alpha -6.23
Y1: 1684548147821
Y0: -7445668458557522768147
# Murphy_E 5.89e-010
# M 297420203429279885121915656479119251138217982787310594101939459941107402083401131916861785166291177316637226568926
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 2850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 476694 x 476921
Total sieving time: 20.34 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.29 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
gnfs,113,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 20.91 hours.
 --------- CPU info (if available) ----------

3627120165267338414216778483046943390610607650720725089488686960970815232512500426108073237160012542619008144385004432294861162911857626698239<142>

316321455461960937912206525852540715055457<42>
11466563847116326095467414189603223843452711698839534859205035819109981960478216422989659426720933727<101>

Number: cv2
N=3627120165267338414216778483046943390610607650720725089488686960970815232512500426108073237160012542619008144385004432294861162911857626698239
  ( 142 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=316321455461960937912206525852540715055457 (pp42)
 r2=11466563847116326095467414189603223843452711698839534859205035819109981960478216422989659426720933727 (pp101)
Version: Msieve-1.40
Total time: 15.92 hours.
Scaled time: 29.27 units (timescale=1.839).
Factorization parameters were as follows:
n: 3627120165267338414216778483046943390610607650720725089488686960970815232512500426108073237160012542619008144385004432294861162911857626698239
m: 10000000000000000000000000000000
deg: 5
c5: 260
c0: 7
skew: 0.49
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1450000, 2350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 491797 x 492028
Total sieving time: 15.49 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.31 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,157.000,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 15.92 hours.
 --------- CPU info (if available) ----------

108926331823585486990327488404350989412861654355008767264177392096666961190639104804376408544096884582253071<108>

48774596081342544757728131127203382325065372467188871<53>
2233259536212795554684143317925690146573158577545990201<55>

Number: cv108
N=108926331823585486990327488404350989412861654355008767264177392096666961190639104804376408544096884582253071
  ( 108 digits)
Divisors found:
 r1=48774596081342544757728131127203382325065372467188871 (pp53)
 r2=2233259536212795554684143317925690146573158577545990201 (pp55)
Version: Msieve-1.40
Total time: 10.74 hours.
Scaled time: 19.98 units (timescale=1.861).
Factorization parameters were as follows:
name: cv108
n: 108926331823585486990327488404350989412861654355008767264177392096666961190639104804376408544096884582253071
skew: 8964.60
# norm 1.44e+014
c5: 20160
c4: 318276031
c3: 11288885492219
c2: -27974314094359929
c1: -456740468052382134122
c0: 697472745598342880909120
# alpha -4.68
Y1: 440694027443
Y0: -351987104838037027869
# Murphy_E 1.35e-009
# M 97196589265118219245300086738785711037794884037400341792003578197609333804575633650975759702055113891860727
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 292332 x 292557
Polynomial selection time: 1.11 hours.
Total sieving time: 9.09 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.38 hours.
Prototype def-par.txt line would be:
gnfs,107,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 10.74 hours.
 --------- CPU info (if available) ----------

222338974334028198801936918307040813332738953232727013507308226614106115643667329120184517075213223697980268551963<114>

25307478048011040732462897568180501987759060673706943<53>
8785504976522234318207149438718440136202563345433161596511141<61>

Number: cv114-1
N=222338974334028198801936918307040813332738953232727013507308226614106115643667329120184517075213223697980268551963
  ( 114 digits)
Divisors found:
 r1=25307478048011040732462897568180501987759060673706943 (pp53)
 r2=8785504976522234318207149438718440136202563345433161596511141 (pp61)
Version: Msieve-1.40
Total time: 19.01 hours.
Scaled time: 36.76 units (timescale=1.934).
Factorization parameters were as follows:
name: cv114-1
n: 222338974334028198801936918307040813332738953232727013507308226614106115643667329120184517075213223697980268551963
skew: 95070.68
# norm 1.21e+016
c5: 6480
c4: -2321311734
c3: -334300847551416
c2: 16914905952507635822
c1: 746723590409752273502085
c0: -25110827895845673963382267062
# alpha -6.68
Y1: 629091527911
Y0: -8074033422098947296625
# Murphy_E 6.45e-010
# M 123934270799897630508058792972812772712563304102368903860421063160825038407309178771338093503649621722357517929769
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 2750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 424430 x 424663
Total sieving time: 18.65 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.23 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
gnfs,113,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 19.01 hours.
 --------- CPU info (if available) ----------

316678519942540161740040211930951766586507656617870534909047105123890163584158010544656843595905575749196636525950606082829777<126>

24047449418860470102789627854430848380322587418182017076169<59>
13168902631901097476247186499070759435683487462988493802947246949833<68>

Number: 86669_159
N=316678519942540161740040211930951766586507656617870534909047105123890163584158010544656843595905575749196636525950606082829777
  ( 126 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=24047449418860470102789627854430848380322587418182017076169 (pp59)
 r2=13168902631901097476247186499070759435683487462988493802947246949833 (pp68)
Version: Msieve-1.40
Total time: 21.32 hours.
Scaled time: 71.56 units (timescale=3.357).
Factorization parameters were as follows:
name: 86669_159
n: 316678519942540161740040211930951766586507656617870534909047105123890163584158010544656843595905575749196636525950606082829777
m: 20000000000000000000000000000000
deg: 5
c5: 8125
c0: 7
skew: 0.24
type: snfs
lss: 1
rlim: 3300000
alim: 3300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4

Factor base limits: 3300000/3300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1650000, 2750001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 555064 x 555312
Total sieving time: 20.56 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.57 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,160.000,5,0,0,0,0,0,0,0,0,3300000,3300000,27,27,51,51,2.4,2.4,100000
total time: 21.32 hours.
 --------- CPU info (if available) ----------

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

268267665748029193662243905032277028983498982639669450579641789000917600187146985881331722993306471913346083391105186059642641603424203859<138>

2728593879114384850989448938930493127127838280114095598227<58>
98317183733879950278647449050267633161160794339630890297310786600014398280542017<80>

Number: 86669_160
N=268267665748029193662243905032277028983498982639669450579641789000917600187146985881331722993306471913346083391105186059642641603424203859
  ( 138 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=2728593879114384850989448938930493127127838280114095598227 (pp58)
 r2=98317183733879950278647449050267633161160794339630890297310786600014398280542017 (pp80)
Version: Msieve-1.40
Total time: 20.13 hours.
Scaled time: 65.51 units (timescale=3.254).
Factorization parameters were as follows:
name: 86669_160
n: 268267665748029193662243905032277028983498982639669450579641789000917600187146985881331722993306471913346083391105186059642641603424203859
m: 100000000000000000000000000000000
deg: 5
c5: 26
c0: 7
skew: 0.77
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1700000, 2700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 603475 x 603722
Total sieving time: 19.16 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.69 hours.
Time per square root: 0.20 hours.
Prototype def-par.txt line would be:
snfs,161.000,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 20.13 hours.
 --------- CPU info (if available) ----------

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

29885057471264367816091954022988505747126436781609195402298850574712643678160919540229885057471264367816091954022988505747126436781609195402298850574712643678161<161>

64897056431858959420011718411787<32>

460499429625799409519983537005036715622360448198914736379166452681386103105161729187308178157825630075017470221366607413087344403<129>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=1841114219
Step 1 took 5166ms
Step 2 took 2656ms
********** Factor found in step 2: 64897056431858959420011718411787
Found probable prime factor of 32 digits: 64897056431858959420011718411787
Composite cofactor 460499429625799409519983537005036715622360448198914736379166452681386103105161729187308178157825630075017470221366607413087344403 has 129 digits

460499429625799409519983537005036715622360448198914736379166452681386103105161729187308178157825630075017470221366607413087344403<129>

276089794754893103946547498371580339<36>
1667933543268491409231407417148712597301200433310735909508174705920818723513608368525435839777<94>

Msieve v. 1.47
Thu Nov  4 23:55:23 2010
random seeds: 81910c36 98306a47
factoring 460499429625799409519983537005036715622360448198914736379166452681386103105161729187308178157825630075017470221366607413087344403 (129 digits)
no P-1/P+1/ECM available, skipping
commencing number field sieve (129-digit input)
R0: -100000000000000000000000000000000
R1:  1
A0:  7
A1:  0
A2:  0
A3:  0
A4:  0
A5:  260
skew 0.49, size 2.966e-11, alpha -0.137, combined = 6.162e-10 rroots = 1

commencing relation filtering
estimated available RAM is 8003.8 MB
commencing duplicate removal, pass 1
read 10M relations
error -15 reading relation 12967404
error -9 reading relation 14293823
error -11 reading relation 15631556
found 1620647 hash collisions in 16933924 relations
added 48994 free relations
commencing duplicate removal, pass 2
found 828109 duplicates and 16154809 unique relations
memory use: 49.3 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 376.5 MB
reading all ideals from disk
memory use: 458.7 MB
keeping 17274762 ideals with weight <= 200, target excess is 153507
commencing in-memory singleton removal
begin with 16154808 relations and 17274762 unique ideals
reduce to 6699662 relations and 5369625 ideals in 13 passes
max relations containing the same ideal: 112
removing 1718481 relations and 1318481 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 4981181 relations and 5369625 unique ideals
reduce to 4746783 relations and 3800756 ideals in 9 passes
max relations containing the same ideal: 92
removing 1304024 relations and 904024 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 3442759 relations and 3800756 unique ideals
reduce to 3240335 relations and 2678389 ideals in 10 passes
max relations containing the same ideal: 70
removing 1108784 relations and 724907 ideals in 383877 cliques
commencing in-memory singleton removal
begin with 2131551 relations and 2678389 unique ideals
reduce to 1879204 relations and 1669809 ideals in 10 passes
max relations containing the same ideal: 46
removing 174111 relations and 142785 ideals in 31326 cliques
commencing in-memory singleton removal
begin with 1705093 relations and 1669809 unique ideals
reduce to 1694780 relations and 1516554 ideals in 8 passes
max relations containing the same ideal: 42
relations with 0 large ideals: 5398
relations with 1 large ideals: 28206
relations with 2 large ideals: 131175
relations with 3 large ideals: 323755
relations with 4 large ideals: 469047
relations with 5 large ideals: 414340
relations with 6 large ideals: 236731
relations with 7+ large ideals: 86128
commencing 2-way merge
reduce to 1079590 relation sets and 901364 unique ideals
commencing full merge
memory use: 96.1 MB
found 531429 cycles, need 507564
weight of 507564 cycles is about 35666024 (70.27/cycle)
distribution of cycle lengths:
1 relations: 50819
2 relations: 50063
3 relations: 53850
4 relations: 52733
5 relations: 50292
6 relations: 46151
7 relations: 41326
8 relations: 35367
9 relations: 30348
10+ relations: 96615
heaviest cycle: 19 relations
commencing cycle optimization
start with 3054580 relations
pruned 91041 relations
memory use: 97.5 MB
distribution of cycle lengths:
1 relations: 50819
2 relations: 51241
3 relations: 55881
4 relations: 54568
5 relations: 52308
6 relations: 47557
7 relations: 42439
8 relations: 35895
9 relations: 30263
10+ relations: 86593
heaviest cycle: 19 relations
RelProcTime: 612

commencing linear algebra
read 507564 cycles
cycles contain 1588836 unique relations
read 1588836 relations
using 20 quadratic characters above 268424264
building initial matrix
memory use: 196.4 MB
read 507564 cycles
matrix is 507382 x 507564 (151.2 MB) with weight 45788288 (90.21/col)
sparse part has weight 34062453 (67.11/col)
filtering completed in 2 passes
matrix is 506530 x 506712 (151.1 MB) with weight 45747625 (90.28/col)
sparse part has weight 34041707 (67.18/col)
matrix starts at (0, 0)
matrix is 506530 x 506712 (151.1 MB) with weight 45747625 (90.28/col)
sparse part has weight 34041707 (67.18/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 506482 x 506712 (143.5 MB) with weight 36079897 (71.20/col)
sparse part has weight 32556960 (64.25/col)
using block size 65536 for processor cache size 4096 kB
commencing Lanczos iteration (2 threads)
memory use: 115.7 MB
linear algebra at 0.6%, ETA 0h19m506712 dimensions (0.6%, ETA 0h19m)    
linear algebra completed 506160 of 506712 dimensions (99.9%, ETA 0h 0m)    
lanczos halted after 8011 iterations (dim = 506482)
recovered 39 nontrivial dependencies
BLanczosTime: 1418

commencing square root phase
reading relations for dependency 1
read 252919 cycles
cycles contain 792724 unique relations
read 792724 relations
multiplying 792724 relations
multiply complete, coefficients have about 23.19 million bits
initial square root is modulo 4564271
sqrtTime: 286
prp36 factor: 276089794754893103946547498371580339
prp94 factor: 1667933543268491409231407417148712597301200433310735909508174705920818723513608368525435839777

6178920245047444648335493523551023702675864408412852411331574538912468903513472890288547025978634572466569372410276106481927154602961033<136>

50380683792524890778859593<26>
63982393862120386255294078697<29>
1916849637095192257456831153245034633978971571321987538511344797774247262347275673<82>

Input number is 
6178920245047444648335493523551023702675864408412852411331574538912468903513472890288547025978634572466569372410276106481927154602961033
 (136 digits)
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=1636193402
Step 1 took 4505ms
Step 2 took 2318ms
********** Factor found in step 2: 63982393862120386255294078697
Found probable prime factor of 29 digits: 63982393862120386255294078697
Composite cofactor 

Input number is 
6178920245047444648335493523551023702675864408412852411331574538912468903513472890288547025978634572466569372410276106481927154602961033
 (136 digits)
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=3036145236
Step 1 took 4513ms
Step 2 took 2306ms
********** Factor found in step 2: 50380683792524890778859593
Found probable prime factor of 26 digits: 50380683792524890778859593
Composite cofactor 
122644628455087118952987581227357586077817461558249761952792083370489091038072062293782289288791978606415638081
 has 111 digits

540227815169040108366809591875450594115367867756378426158416045049740494263809837975748141542320040259630726723653425396881403740261872357<138>

3873277050442024306889580859882479488017<40>
27494453923743545384483370454473271716895655287<47>
5072864711660991775901239947469271517227549350553683<52>

Number: 86669_170
N=540227815169040108366809591875450594115367867756378426158416045049740494263809837975748141542320040259630726723653425396881403740261872357
  ( 138 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=3873277050442024306889580859882479488017 (pp40)
 r2=27494453923743545384483370454473271716895655287 (pp47)
 r3=5072864711660991775901239947469271517227549350553683 (pp52)
Version: Msieve v. 1.42
Total time: 3.61 hours.
Scaled time: 3.08 units (timescale=0.853).
Factorization parameters were as follows:
name: 86669_170
n: 540227815169040108366809591875450594115367867756378426158416045049740494263809837975748141542320040259630726723653425396881403740261872357
m: 10000000000000000000000000000000000
deg: 5
c5: 26
c0: 7
skew: 0.77
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2500000, 4600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 935110 x 935334
Total sieving time: 0.00 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 3.13 hours.
Time per square root: 0.39 hours.
Prototype def-par.txt line would be:
snfs,171.000,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.4,2.4,100000
total time: 3.61 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
Memory: 3886124k/4718592k available (3786k kernel code, 656964k absent, 175504k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5827.08 BogoMIPS (lpj=2913541)
Calibrating delay using timer specific routine.. 5826.53 BogoMIPS (lpj=2913268)
Total of 2 processors activated (11653.61 BogoMIPS).

Total time: 34 hours.

1369169423259092379552588415004062228619524461482807192715960458998053935505919692309527300603597963688656873<109>

4953477849009136054520418948437619032124977699<46>
276405682026613443764254065358642320792561839423334431551441027<63>

Number: cv109
N=1369169423259092379552588415004062228619524461482807192715960458998053935505919692309527300603597963688656873
  ( 109 digits)
Divisors found:
 r2=4953477849009136054520418948437619032124977699 (pp46)
 r3=276405682026613443764254065358642320792561839423334431551441027 (pp63)
Version: Msieve-1.40
Total time: 14.13 hours.
Scaled time: 26.92 units (timescale=1.905).
Factorization parameters were as follows:
name: cv109
n: 1369169423259092379552588415004062228619524461482807192715960458998053935505919692309527300603597963688656873
skew: 15337.14
# norm 2.48e+015
c5: 75360
c4: 3998554564
c3: -50911276100308
c2: 710247440990474473
c1: 843085851650460731190
c0: 3914971392661312505399865
# alpha -7.20
Y1: 397408925297
Y0: -448599905508586170752
# Murphy_E 1.37e-009
# M 1350558491435265455734310307587345676478152270751382890845263149180073675906085899264487725527652180814951090
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1600000, 1600000)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 343125 x 343351
Total sieving time: 13.49 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.15 hours.
Time per square root: 0.43 hours.
Prototype def-par.txt line would be:
gnfs,108,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 14.13 hours.
 --------- CPU info (if available) ----------

141282961832823183548164958074320352955147469288597260106223232983099705143588378946103919768488658240249239248016929232781742139350967479808334063289623060307<159>

554167379397636114259708644297782865311<39>
254946370149743692468775759434938918903040086829275108409434246859475130403132307603172919895604053304853441397007845837<120>

Number: 3
N=141282961832823183548164958074320352955147469288597260106223232983099705143588378946103919768488658240249239248016929232781742139350967479808334063289623060307
  ( 159 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=554167379397636114259708644297782865311 (pp39)
 r2=254946370149743692468775759434938918903040086829275108409434246859475130403132307603172919895604053304853441397007845837 (pp120)
Version: Msieve-1.40
Total time: 57.58 hours.
Scaled time: 100.14 units (timescale=1.739).
Factorization parameters were as follows:
n: 141282961832823183548164958074320352955147469288597260106223232983099705143588378946103919768488658240249239248016929232781742139350967479808334063289623060307
m: 10000000000000000000000000000000000
deg: 5
c5: 2600
c0: 7
skew: 0.31
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2700000, 5600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 842972 x 843197
Total sieving time: 56.41 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.92 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,173.000,5,0,0,0,0,0,0,0,0,5400000,5400000,27,27,52,52,2.4,2.4,100000
total time: 57.58 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

454466002447124628561440307638524733438210103128823632232127250480685194895997203286138786925362698828876070617024995630134591854570879216920118860339101555672085299772767<171>

28647588751331233768274519021162576605731491015949611009<56>
15864022846460538695339711033247318118317634917264941056110996396233338509368747940146516428815024001380076588608863<116>

Number: 86669_173
N=454466002447124628561440307638524733438210103128823632232127250480685194895997203286138786925362698828876070617024995630134591854570879216920118860339101555672085299772767
  ( 171 digits)
SNFS difficulty: 174 digits.
Divisors found:
 r1=28647588751331233768274519021162576605731491015949611009
 r2=15864022846460538695339711033247318118317634917264941056110996396233338509368747940146516428815024001380076588608863
Version: 
Total time: 114.19 hours.
Scaled time: 229.98 units (timescale=2.014).
Factorization parameters were as follows:
n: 454466002447124628561440307638524733438210103128823632232127250480685194895997203286138786925362698828876070617024995630134591854570879216920118860339101555672085299772767
m: 10000000000000000000000000000000000
deg: 5
c5: 26000
c0: 7
skew: 0.19
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2800000, 6100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 910369 x 910617
Total sieving time: 114.19 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,174,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000
total time: 114.19 hours.
 --------- CPU info (if available) ----------

1459418563908089926172237093283465998049526247116784194637258905257236843905552531098472903777592050097834438529758266952288087679164975905260160958873372204053<160>

358146048879823392623830523<27>

4074925769732003047975423050155498368561161095135349648955738287363293755393844422034428183982099581084679342318369640240381894392111<133>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=4009244038
Step 1 took 5241ms
Step 2 took 2665ms
********** Factor found in step 2: 358146048879823392623830523
Found probable prime factor of 27 digits: 358146048879823392623830523
Composite cofactor 4074925769732003047975423050155498368561161095135349648955738287363293755393844422034428183982099581084679342318369640240381894392111 has 133 digits

4074925769732003047975423050155498368561161095135349648955738287363293755393844422034428183982099581084679342318369640240381894392111<133>

4254149744319431021525478542607527735962157670804811<52>
957870788439747362953827185992317482490496383995489700653193043514273391003904301<81>

N = 4074925769732003047975423050155498368561161095135349648955738287363293755393844422034428183982099581084679342318369640240381894392111 (133 digits)
SNFS difficulty: 177 digits.
Divisors found:
r1=4254149744319431021525478542607527735962157670804811 (pp52)
r2=957870788439747362953827185992317482490496383995489700653193043514273391003904301 (pp81)
Version: Msieve v. 1.48
Total time: 26.50 hours.
Factorization parameters were as follows:
name: (26*10^174+7)/3
n: 4074925769732003047975423050155498368561161095135349648955738287363293755393844422034428183982099581084679342318369640240381894392111
Y0: 100000000000000000000000000000000000
Y1: -1
c0: 35
c1: 0
c2: 0
c3: 0
c4: 0
c5: 13
skew: 1.22
type: snfs
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 19417991
Relations: 2429418 relations
Pruned matrix : 1331430 x 1331657
Polynomial selection time: 0.00 hours.
Total sieving time: 24.14 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 2.19 hours.
time per square root: 0.05 hours.
Prototype def-par.txt line would be: snfs,177,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,55,55,2.5,2.5,100000
total time: 26.50 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

44533505654561016318778193480399614923411940974768208641760657266675040213419747021127973730195235465744840833772447605241166978977384004735328045064787<152>

487601498803792503844905590587244565331750625606051098675098532224337390121<75>
91331765312068889497166896670756826954551295143428762474995604836532441477147<77>

N = 44533505654561016318778193480399614923411940974768208641760657266675040213419747021127973730195235465744840833772447605241166978977384004735328045064787 (152 digits)
SNFS difficulty: 178 digits.
Divisors found:
r1=487601498803792503844905590587244565331750625606051098675098532224337390121 (pp75)
r2=91331765312068889497166896670756826954551295143428762474995604836532441477147 (pp77)
Version: Msieve v. 1.48
Total time: 32.48 hours.
Factorization parameters were as follows:
name: (26*10^176+7)/3
n: 44533505654561016318778193480399614923411940974768208641760657266675040213419747021127973730195235465744840833772447605241166978977384004735328045064787
Y0: 100000000000000000000000000000000000
Y1: -1
c0: 7
c1: 0
c2: 0
c3: 0
c4: 0
c5: 260
skew: 0.49
type: snfs
Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 20126302
Relations: 2518744 relations
Pruned matrix : 1416626 x 1416851
Polynomial selection time: 0.00 hours.
Total sieving time: 29.39 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 2.61 hours.
time per square root: 0.35 hours.
Prototype def-par.txt line would be: snfs,178,5,0,0,0,0,0,0,0,0,6500000,6500000,28,28,55,55,2.5,2.5,100000
total time: 32.48 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

3804731766775176270650694464333592022912171640924100161006211316116940233664810189861058425967579358598716781602040068697218020544896140387226188500890129<154>

6035622927916832659833045886952519214821453<43>
5708687699263658556953285247760512140700881556544169<52>
110424555507956376923784959656446540120433808558867814520397<60>

01/16/14 21:41:04 v1.34.3, nfs: commencing nfs on c154: 3804731766775176270650694464333592022912171640924100161006211316116940233664810189861058425967579358598716781602040068697218020544896140387226188500890129
01/16/14 21:41:04 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/16/14 21:41:04 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/16/14 21:46:43 v1.34.3, nfs: commencing lattice sieving with 8 threads
[124 lines snipped]
01/17/14 10:08:25 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/17/14 10:14:31 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/17/14 10:20:47 v1.34.3, nfs: commencing msieve filtering
01/17/14 10:24:51 v1.34.3, nfs: commencing msieve linear algebra
01/18/14 21:49:07 v1.34.3, 
01/18/14 21:49:07 v1.34.3, ****************************
01/18/14 21:49:07 v1.34.3, Starting factorization of 3804731766775176270650694464333592022912171640924100161006211316116940233664810189861058425967579358598716781602040068697218020544896140387226188500890129
01/18/14 21:49:07 v1.34.3, using pretesting plan: none
01/18/14 21:49:07 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/18/14 21:49:07 v1.34.3, ****************************
01/18/14 21:49:07 v1.34.3, nfs: previous data file found - commencing search for last special-q
01/18/14 21:49:39 v1.34.3, nfs: parsing special-q from .dat file
01/18/14 21:49:39 v1.34.3, nfs: commencing nfs on c154: 3804731766775176270650694464333592022912171640924100161006211316116940233664810189861058425967579358598716781602040068697218020544896140387226188500890129
01/18/14 21:49:39 v1.34.3, nfs: resuming with filtering
01/18/14 21:49:39 v1.34.3, nfs: commencing msieve filtering
01/18/14 21:57:37 v1.34.3, nfs: commencing msieve linear algebra
01/18/14 22:54:00 v1.34.3, 
01/18/14 22:54:00 v1.34.3, ****************************
01/18/14 22:54:00 v1.34.3, Starting factorization of 3804731766775176270650694464333592022912171640924100161006211316116940233664810189861058425967579358598716781602040068697218020544896140387226188500890129
01/18/14 22:54:00 v1.34.3, using pretesting plan: none
01/18/14 22:54:00 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/18/14 22:54:00 v1.34.3, ****************************
01/18/14 22:54:00 v1.34.3, nfs: commencing nfs on c154: 3804731766775176270650694464333592022912171640924100161006211316116940233664810189861058425967579358598716781602040068697218020544896140387226188500890129
01/18/14 22:54:00 v1.34.3, nfs: resuming with sieving at user specified special-q 8820001
01/18/14 22:54:00 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/18/14 23:46:32 v1.34.3, c154 cofactor = 3804731766775176270650694464333592022912171640924100161006211316116940233664810189861058425967579358598716781602040068697218020544896140387226188500890129
01/18/14 23:46:32 v1.34.3, Total factoring time = 3152.2622 seconds
01/19/14 00:26:31 v1.34.3, 
01/19/14 00:26:31 v1.34.3, ****************************
01/19/14 00:26:31 v1.34.3, Starting factorization of 3804731766775176270650694464333592022912171640924100161006211316116940233664810189861058425967579358598716781602040068697218020544896140387226188500890129
01/19/14 00:26:31 v1.34.3, using pretesting plan: none
01/19/14 00:26:31 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/19/14 00:26:31 v1.34.3, ****************************
01/19/14 00:26:31 v1.34.3, nfs: previous data file found - commencing search for last special-q
01/19/14 00:26:51 v1.34.3, nfs: parsing special-q from .dat file
01/19/14 00:26:51 v1.34.3, nfs: commencing nfs on c154: 3804731766775176270650694464333592022912171640924100161006211316116940233664810189861058425967579358598716781602040068697218020544896140387226188500890129
01/19/14 00:26:51 v1.34.3, nfs: resuming with filtering
01/19/14 00:26:51 v1.34.3, nfs: commencing msieve filtering
01/19/14 00:34:51 v1.34.3, nfs: commencing msieve linear algebra
01/19/14 01:39:14 v1.34.3, nfs: commencing msieve sqrt
01/19/14 01:45:09 v1.34.3, prp43 = 6035622927916832659833045886952519214821453
01/19/14 01:45:09 v1.34.3, prp60 = 110424555507956376923784959656446540120433808558867814520397
01/19/14 01:45:09 v1.34.3, prp52 = 5708687699263658556953285247760512140700881556544169
01/19/14 01:45:09 v1.34.3, NFS elapsed time = 4718.7956 seconds.
01/19/14 01:45:09 v1.34.3, 
01/19/14 01:45:09 v1.34.3, 
01/19/14 01:45:09 v1.34.3, Total factoring time = 4718.7969 seconds

yafu v1.34.3

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

177632973980344650493821869655507094445807639481150313252108542896314801260599737050907769005011576030046186488956211052892157643518285037630929922755721291502251<162>

257089966157098251050330712423583293398175976097779751648243034547391266720565771<81>
690937015689673605320867463412588812979725802318405666754647895305294488602598881<81>

Number: 86669_184
N=177632973980344650493821869655507094445807639481150313252108542896314801260599737050907769005011576030046186488956211052892157643518285037630929922755721291502251
  ( 162 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=257089966157098251050330712423583293398175976097779751648243034547391266720565771
 r2=690937015689673605320867463412588812979725802318405666754647895305294488602598881
Version: 
Total time: 57.94 hours.
Scaled time: 303.84 units (timescale=5.244).
Factorization parameters were as follows:
n: 177632973980344650493821869655507094445807639481150313252108542896314801260599737050907769005011576030046186488956211052892157643518285037630929922755721291502251
m: 10000000000000000000000000000000000000
deg: 5
c5: 13
c0: 35
skew: 1.22
# Murphy_E = 7.915e-11
type: snfs
lss: 1
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4000000, 6500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 19637176
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1571578 x 1571826
Total sieving time: 53.51 hours.
Total relation processing time: 1.30 hours.
Matrix solve time: 3.04 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8000000,8000000,28,28,54,54,2.5,2.5,100000
total time: 57.94 hours.
 --------- CPU info (if available) ----------

GGNFS / Msieve v1.39

Core i7-4930K

15196958348089806881635497380284744084727899553267975419975531332837379573724360133329549761289801171813982248707324724272113633961014921000039703339915650142664639<164>

224021239307669071991975032757073930204599438648809997496402539276833<69>
67837131849888659346192621570434876240990251661007454737267410615762027563250448950300320687583<95>

Number: 86669_186
N = 15196958348089806881635497380284744084727899553267975419975531332837379573724360133329549761289801171813982248707324724272113633961014921000039703339915650142664639 (164 digits)
SNFS difficulty: 188 digits.
Divisors found:
r1=224021239307669071991975032757073930204599438648809997496402539276833 (pp69)
r2=67837131849888659346192621570434876240990251661007454737267410615762027563250448950300320687583 (pp95)
Version: Msieve v. 1.52 (SVN 959M)
Total time: 9.12 hours.
Factorization parameters were as follows:
n: 15196958348089806881635497380284744084727899553267975419975531332837379573724360133329549761289801171813982248707324724272113633961014921000039703339915650142664639
m: 10000000000000000000000000000000000000
deg: 5
c5: 260
c0: 7
skew: 0.49
# Murphy_E = 6.21e-11
type: snfs
lss: 1
rlim: 9300000
alim: 9300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9300000/9300000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 21323726
Relations: 3124778 relations
Pruned matrix : 1862928 x 1863157
Polynomial selection time: 0.00 hours.
Total sieving time: 8.12 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.86 hours.
time per square root: 0.05 hours.
Prototype def-par.txt line would be: snfs,188,5,0,0,0,0,0,0,0,0,9300000,9300000,28,28,54,54,2.5,2.5,200000
total time: 9.12 hours.
Intel64 Family 6 Model 62 Stepping 4, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 12, speed: 3.40GHz

137718075216025146048587253413409887761081242242748485136596228672252348947923443259370242380665675794193227262095612285150235447905066673472615974224660927074393530189296958529<177>

889167722949164447418045248183176227451113359<45>
154884249238429421087818791048643211525553042175096752140360935338273021911170107515141246051751153681477666721278093232846381731631<132>

Number: n
N=137718075216025146048587253413409887761081242242748485136596228672252348947923443259370242380665675794193227262095612285150235447905066673472615974224660927074393530189296958529
  ( 177 digits)
SNFS difficulty: 188 digits.
Divisors found:

Mon Feb 13 00:33:22 2012  prp45 factor: 889167722949164447418045248183176227451113359
Mon Feb 13 00:33:22 2012  prp132 factor: 154884249238429421087818791048643211525553042175096752140360935338273021911170107515141246051751153681477666721278093232846381731631
Mon Feb 13 00:33:22 2012  elapsed time 02:53:57 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.662).
Factorization parameters were as follows:
name: KA_86669_187
n: 137718075216025146048587253413409887761081242242748485136596228672252348947923443259370242380665675794193227262095612285150235447905066673472615974224660927074393530189296958529
m: 10000000000000000000000000000000000000
#  c177, diff: 188.41
skew: 0.31
deg: 5
c5: 2600
c0: 7
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 9000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8835821 hash collisions in 78627099 relations (74485629 unique)
Msieve: matrix is 1185059 x 1185307 (329.0 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,188,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.12 BogoMIPS (lpj=2798061)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.12 BogoMIPS (lpj=2797563)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797551)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Total of 8 processors activated (44761.89 BogoMIPS).

67828840807458521946425807496480009262289092415412935330391805211639418647353604295464830654733277823253537137086026562243644483270368603052240442701104099609052823196795702949017991<182>

981709330316415187396190021294207675053<39>
6773833762542150529277386865226034117657962397180039143493967<61>
10199924146503678866567556605886153400765828803183838671180249433356480380657977741<83>

Number: n
N=67828840807458521946425807496480009262289092415412935330391805211639418647353604295464830654733277823253537137086026562243644483270368603052240442701104099609052823196795702949017991
  ( 182 digits)
SNFS difficulty: 189 digits.
Divisors found:

Fri Nov  5 19:52:10 2010  prp39 factor: 981709330316415187396190021294207675053
Fri Nov  5 19:52:10 2010  prp61 factor: 6773833762542150529277386865226034117657962397180039143493967
Fri Nov  5 19:52:10 2010  prp83 factor: 10199924146503678866567556605886153400765828803183838671180249433356480380657977741
Fri Nov  5 19:52:10 2010  elapsed time 03:54:46 (Msieve 1.44 - dependency 9)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.091).
Factorization parameters were as follows:
name: KA_8_6_187_9
n: 67828840807458521946425807496480009262289092415412935330391805211639418647353604295464830654733277823253537137086026562243644483270368603052240442701104099609052823196795702949017991
m: 10000000000000000000000000000000000000
deg: 5
c5: 26000
c0: 7
skew: 0.19
type: snfs
lss: 1
rlim: 10000000
alim: 10000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 9100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3396985 hash collisions in 30123053 relations
Msieve: matrix is 1287248 x 1287474 (364.2 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,189,5,0,0,0,0,0,0,0,0,10000000,10000000,28,28,56,56,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.11 BogoMIPS (lpj=2830559)
Calibrating delay using timer specific routine.. 5660.90 BogoMIPS (lpj=2830451)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830457)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830458)
Total of 4 processors activated (22643.85 BogoMIPS).

177594845107080804917773697181706282659914521427752179107594417446297229038049396864425711865702810711774228463533530714472494360469853853828124890890954568043<159>

126056103892199184783420099944810363<36>

1408855577981028072599755885023755975050345136128796992626757300137417394489126275418795193227319121307108703460345692529361<124>

********** Factor found in step 2: 126056103892199184783420099944810363
Found probable prime factor of 36 digits: 126056103892199184783420099944810363
Composite cofactor 1408855577981028072599755885023755975050345136128796992626757300137417394489126275418795193227319121307108703460345692529361 has 124 digits

1408855577981028072599755885023755975050345136128796992626757300137417394489126275418795193227319121307108703460345692529361<124>

260386831934172797163525529004489179377478177<45>
5410625289750421791760634642592455405488077997411369091244080147958910743855793<79>

Using B1=11991027, B2=11991027-35134365640, polynomial Dickson(12), sigma=2225504618
Step 1 took 42370ms
Step 2 took 15670ms
********** Factor found in step 2: 260386831934172797163525529004489179377478177
Found probable prime factor of 45 digits: 260386831934172797163525529004489179377478177
Probable prime cofactor 5410625289750421791760634642592455405488077997411369091244080147958910743855793 has 79 digits

28326990084759415329024960477858626337090303241545995832152745758337776387791952130956713472752116096584170581978245609202906750373841407538119509456358479953<158>

42083638058026300952460994826866451<35>

673111722083086827445918027751104171664305950828433165716099362726712897687056643346299767717650119096801735015915268510603<123>

Step 2 took 15056ms
********** Factor found in step 2: 42083638058026300952460994826866451
Found probable prime factor of 35 digits: 42083638058026300952460994826866451
Composite cofactor 673111722083086827445918027751104171664305950828433165716099362726712897687056643346299767717650119096801735015915268510603 has 123 digits

673111722083086827445918027751104171664305950828433165716099362726712897687056643346299767717650119096801735015915268510603<123>

2456407032446716283702858488960769082029098798384397919007<58>
274022876987382092052466146998323921594061840309398216975851294229<66>

Number: 86669_191
N = 673111722083086827445918027751104171664305950828433165716099362726712897687056643346299767717650119096801735015915268510603 (123 digits)
Divisors found:
r1=2456407032446716283702858488960769082029098798384397919007 (pp58)
r2=274022876987382092052466146998323921594061840309398216975851294229 (pp66)
Version: Msieve v. 1.47
Total time: 49.03 hours.
Factorization parameters were as follows:
# Murphy_E = 2.351e-10, selected by Erik Branger
n: 673111722083086827445918027751104171664305950828433165716099362726712897687056643346299767717650119096801735015915268510603
Y0: -773179826417194468550546
Y1: 14757741491573
c0: 89070989633662551603976744389
c1: 4049431219374994196856783
c2: -62087556380983791781
c3: -1172966619005795
c4: 2145195728
c5: 2436
skew: 173527.24
type: gnfs
# selected mechanically
rlim: 6300000
alim: 6300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6300000/6300000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [3150000, 5550000)
Relations: 10383348
Relations in full relation-set: 1418214 relations
Pruned matrix : 838872 x 839099
Polynomial selection time: 0.00 hours.
Total sieving time: 48.14 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.67 hours.
time per square root: 0.14 hours.
Prototype def-par.txt line would be: gnfs,122,5,65,2000,1e-05,0.28,250,20,50000,3600,6300000,6300000,27,27,52,52,2.5,2.5,100000
total time: 49.03 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

47032908240307791586619634414499784825374378296390856545823261742161773113889390013147501895952079731438954992446393<116>

708838719623316951494807154446534953522177<42>
66352058568839872746970341548897180289186396592600138912846625239283988409<74>

Number: cv116
N=47032908240307791586619634414499784825374378296390856545823261742161773113889390013147501895952079731438954992446393
  ( 116 digits)
Divisors found:
 r1=708838719623316951494807154446534953522177 (pp42)
 r2=66352058568839872746970341548897180289186396592600138912846625239283988409 (pp74)
Version: Msieve-1.40
Total time: 24.06 hours.
Scaled time: 45.97 units (timescale=1.911).
Factorization parameters were as follows:
name: cv116
n: 47032908240307791586619634414499784825374378296390856545823261742161773113889390013147501895952079731438954992446393
skew: 17695.14
# norm 3.11e+016
c5: 60480
c4: -15033614352
c3: 1433541263003410
c2: 5509371594316214789
c1: -26086622798010520797458
c0: 24617201988694333960721400
# alpha -6.44
Y1: 2252967466717
Y0: -15071665183790643616747
# Murphy_E 4.74e-010
# M 565496596879910743123522645925220651479186077312468880154542513716772285465633441866094257196482585922320723256621
type: gnfs
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [1700000, 3000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 563935 x 564166
Total sieving time: 23.46 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.39 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
gnfs,115,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3400000,3400000,27,27,53,53,2.5,2.5,100000
total time: 24.06 hours.
 --------- CPU info (if available) ----------

449073701146814618127178643116072593590734748316090555525765208314161279239002238294716164629595103992475806807936294571357122301595143811783<141>

1299182431256104035901953428638112549717650676761840129930933037263<67>
345658692992508633921946034931534914198282504451369197942411338253215868041<75>

449073701146814618127178643116072593590734748316090555525765208314161279239002238294716164629595103992475806807936294571357122301595143811783=1299182431256104035901953428638112549717650676761840129930933037263*345658692992508633921946034931534914198282504451369197942411338253215868041

Info:Square Root: Factors: 345658692992508633921946034931534914198282504451369197942411338253215868041 1299182431256104035901953428638112549717650676761840129930933037263
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 65655.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 66787/42.680/50.645/56.250/0.941
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 66787/40.980/45.479/51.380/1.375
Info:Polynomial Selection (size optimized): Total time: 44233.7
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 7929
Info:Polynomial Selection (root optimized): Rootsieve time: 7926.85
Info:Generate Factor Base: Total cpu/real time for makefb: 22.38/8.39061
Info:Generate Free Relations: Total cpu/real time for freerel: 781.35/139.746
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 34485272
Info:Lattice Sieving: Average J: 3797.24 for 1126378 special-q, max bucket fill -bkmult 1.0,1s:1.140200
Info:Lattice Sieving: Total time: 1.57055e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 153.29/569.231
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 567.2s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1206.29/1716.57
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 1537.5s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 896.59/1478.97
Info:Filtering - Merging: Total cpu/real time for merge: 1743.15/1740.08
Info:Filtering - Merging: Total cpu/real time for replay: 165.15/177.524
Info:Linear Algebra: Total cpu/real time for bwc: 173065/36531.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 22996.34, iteration CPU time 0.29, COMM 0.01, cpu-wait 0.06, comm-wait 0.0 (65000 iterations)
Info:Linear Algebra: Lingen CPU time 725.04, WCT time 154.58
Info:Linear Algebra: Mksol: WCT time 12262.48, iteration CPU time 0.31, COMM 0.01, cpu-wait 0.06, comm-wait 0.0 (33000 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 124.48/37.4667
Info:Square Root: Total cpu/real time for sqrt: 10060.1/1425.29
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.72185e+06/312459
Info:root: Cleaning up computation data in /tmp/cado.wb5lf3kb
345658692992508633921946034931534914198282504451369197942411338253215868041 1299182431256104035901953428638112549717650676761840129930933037263

cado-nfs-3.0.0

Linux Ubuntu 18.04 LTS
GenuineIntel Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz [Family 6 Model 63 Stepping 2] (12 processors)

14883621959440972894355995271853706352074314713091603988033368693888567960426221624957866517045790303132921335522787819073258228227567412108549142359552344073937958765223122577<176>

216868296303017312746213490228446785194150903416762244149343285297<66>
68629773061180706132234947167344676517093130895482164854864186334875447714615204651987563972060812355980678241<110>

14883621959440972894355995271853706352074314713091603988033368693888567960426221624957866517045790303132921335522787819073258228227567412108549142359552344073937958765223122577=216868296303017312746213490228446785194150903416762244149343285297*68629773061180706132234947167344676517093130895482164854864186334875447714615204651987563972060812355980678241

cado polynomial
n: 14883621959440972894355995271853706352074314713091603988033368693888567960426221624957866517045790303132921335522787819073258228227567412108549142359552344073937958765223122577
skew: 0.49
type: snfs
c0: 7
c5: 260
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 260*x^5+7
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 13700000
tasks.lim1 = 13700000
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: 68629773061180706132234947167344676517093130895482164854864186334875447714615204651987563972060812355980678241 216868296303017312746213490228446785194150903416762244149343285297
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 5.83/2.2617
Info:Generate Free Relations: Total cpu/real time for freerel: 102.77/26.427
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 29087961
Info:Lattice Sieving: Average J: 1893.63 for 3265541 special-q, max bucket fill -bkmult 1.0,1s:1.133180
Info:Lattice Sieving: Total time: 967760s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 55.19/144.874
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 144.00000000000003s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 487.67/495.203
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 429.40000000000003s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 418.24/489.583
Info:Filtering - Merging: Merged matrix has 2582691 rows and total weight 443704943 (171.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 373.19/107.93
Info:Filtering - Merging: Total cpu/real time for replay: 100.45/89.8788
Info:Linear Algebra: Total cpu/real time for bwc: 117208/29985.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 19138.49, iteration CPU time 0.22, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (80896 iterations)
Info:Linear Algebra: Lingen CPU time 523.04, WCT time 151.58
Info:Linear Algebra: Mksol: WCT time 10428.06, iteration CPU time 0.24, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (40448 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 89.21/38.616
Info:Square Root: Total cpu/real time for sqrt: 703.48/222.358
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.91426e+06/105652
Info:root: Cleaning up computation data in /tmp/cado.qcmmili0
68629773061180706132234947167344676517093130895482164854864186334875447714615204651987563972060812355980678241 216868296303017312746213490228446785194150903416762244149343285297

cado-nfs-3.0.0

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

238536734010878623707999708948300422024822996681484304082134103738284709717503472914641414389106959049323980733825924526535204490416053117385761685586789503815717558175004601631<177>

314991779059421759271031760080952150448117317620931446404569593<63>
757279236693601959701436563724309274763718871536803253803765201952394830848935038021792870824316723585510487377367<114>

N=238536734010878623707999708948300422024822996681484304082134103738284709717503472914641414389106959049323980733825924526535204490416053117385761685586789503815717558175004601631
  ( 177 digits)
SNFS difficulty: 198 digits.
Divisors found:
 r1=314991779059421759271031760080952150448117317620931446404569593 (pp63)
 r2=757279236693601959701436563724309274763718871536803253803765201952394830848935038021792870824316723585510487377367 (pp114)
Version: Msieve v. 1.49
Total time:
Scaled time: 106.59 units (timescale=0.467).
Factorization parameters were as follows:
n: 238536734010878623707999708948300422024822996681484304082134103738284709717503472914641414389106959049323980733825924526535204490416053117385761685586789503815717558175004601631
m: 1000000000000000000000000000000000000000
deg: 5
c5: 2600
c0: 7
skew: 0.31
type: snfs
lss: 1
rlim: 14200000
alim: 14200000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 320000
Factor base limits: 14200000/14200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [7100000, 14780001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2301880 x 2302109
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,198.000,5,0,0,0,0,0,0,0,0,14200000,14200000,28,28,55,55,2.5,2.5,100000
total time:

914079996062424632346478506815169509103885191552494559466177282299544014709656552019941006683331048133343177271752467137066295409560573620354452096934667890127584473296559191953283480816625005713<195>

343134144714098385482647188599517945817<39>
2663914419895583594371475862249617250315200698248272570044211018308196248063580212781153379972900723317566192327294930520806264051381551597705785172117684089<157>

Number: n
N=914079996062424632346478506815169509103885191552494559466177282299544014709656552019941006683331048133343177271752467137066295409560573620354452096934667890127584473296559191953283480816625005713
  ( 195 digits)
SNFS difficulty: 200 digits.
Divisors found:

Tue Nov 16 00:36:00 2010  prp39 factor: 343134144714098385482647188599517945817
Tue Nov 16 00:36:00 2010  prp157 factor: 2663914419895583594371475862249617250315200698248272570044211018308196248063580212781153379972900723317566192327294930520806264051381551597705785172117684089
Tue Nov 16 00:36:00 2010  elapsed time 07:40:50 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.095).
Factorization parameters were as follows:
name: KA_8_6_198_9
n: 914079996062424632346478506815169509103885191552494559466177282299544014709656552019941006683331048133343177271752467137066295409560573620354452096934667890127584473296559191953283480816625005713
m: 2000000000000000000000000000000000000000
deg: 5
c5: 8125
c0: 7
skew: 0.24
type: snfs
lss: 1
rlim: 15300000
alim: 15300000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 15300000/15300000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 18550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5557142 hash collisions in 43595361 relations
Msieve: matrix is 2287470 x 2287695 (657.8 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,200,5,0,0,0,0,0,0,0,0,15300000,15300000,29,29,56,56,2.6,2.6,100000
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.. 5660.33 BogoMIPS (lpj=2830166)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830447)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830456)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830456)
Total of 4 processors activated (22643.05 BogoMIPS).

9475694977506524568080845375847717023004362880164035369688862920481581175206060783178656793467657004492159781298551184916360320448988629490707959980019929388243136514255991<172>

6502271297514412249443183567438781<34>
1457290005898207716394469920835915204220317038148065042563833940083246139275663940549101384847178132204680688076222952863466988368654457411<139>

********** Factor found in step 2: 6502271297514412249443183567438781
Found probable prime factor of 34 digits: 6502271297514412249443183567438781
Probable prime cofactor 1457290005898207716394469920835915204220317038148065042563833940083246139275663940549101384847178132204680688076222952863466988368654457411 has 139 digits

8666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669<202>

182107177786534817066184835379311789514227535907150623139836341292429663132301570516711382939<93>
47591021792813091857788809741452314427648956984731751838070600533037538273196989371517265811914112228603402071<110>

Number: 86669_201
N = 8666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669 (202 digits)
SNFS difficulty: 203 digits.
Divisors found:
r1=182107177786534817066184835379311789514227535907150623139836341292429663132301570516711382939 (pp93)
r2=47591021792813091857788809741452314427648956984731751838070600533037538273196989371517265811914112228603402071 (pp110)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 577.06 hours.
Factorization parameters were as follows:
n: 8666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666669
m: 10000000000000000000000000000000000000000
deg: 5
c5: 260
c0: 7
skew: 0.49
type: snfs
lss: 1
rlim: 18000000
alim: 18000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18000000/18000000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [9000000, 18000000)
Relations: 39309053
Relations in full relation-set: 4804140 relations
Pruned matrix : 2984940 x 2985167
Polynomial selection time: 0.00 hours.
Total sieving time: 566.16 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 10.07 hours.
time per square root: 0.58 hours.

GGNFS, Msieve

133310221407359964314848396801303713419466788205316251414645950597583564339681786976217986236366632771248661612982161962208486264353434797789108552578379761744210273749751374254960237<183>

3557716994591138567054879818370251721<37>
37470721142247655663953333580561918019718610734212792278510661839008528746500084946924028025897010481888460308206767900928779567228259693169387397<146>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2139238554
Step 1 took 117924ms
Step 2 took 37435ms
********** Factor found in step 2: 3557716994591138567054879818370251721
Found probable prime factor of 37 digits: 3557716994591138567054879818370251721

621314435504197296479610686324684529094891237203034798985386740156273384386018818099678002049340188527776263184443766792720779388355668914597349247558933187466674202159314134034308308763412162079<195>

292795585299310309956981658217375099178749<42>
407692340929714617977271593970155630517091496644047413<54>
5204923695367742767406394990327302868838706481205148099747274878883043790779751136974956817275517567<100>

Number: n
N=2122007525725015854401658621989638798858750879572321562280230670358462451368901396652852830198418193471728746092712541831792167521877816847321029262404171  ( 154 digits)
SNFS difficulty: 204 digits.
Divisors found:

Mon May  3 19:55:24 2021  p54 factor: 407692340929714617977271593970155630517091496644047413
Mon May  3 19:55:24 2021  p100 factor: 5204923695367742767406394990327302868838706481205148099747274878883043790779751136974956817275517567
Mon May  3 19:55:24 2021  elapsed time 01:46:59 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.331).
Factorization parameters were as follows:
#
# N = 26x10^203+7 = 86(202)9
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 62131443550419729647961068632468452909489123720303479898538674015627338438601881809967800204934018852777626318444376679272077938835566891459734924755893318746667420215931413403430830876
3412162079 (195 digits)
# Using B1=37710000, B2=192391008826, polynomial Dickson(12), sigma=1:2001082318
# Step 1 took 119865ms
# Step 2 took 37677ms
# ********** Factor found in step 2: 292795585299310309956981658217375099178749
# Found prime factor of 42 digits: 292795585299310309956981658217375099178749
# Composite cofactor 2122007525725015854401658621989638798858750879572321562280230670358462451368901396652852830198418193471728746092712541831792167521877816847321029262404171 has 154 digits
#
# n: 621314435504197296479610686324684529094891237203034798985386740156273384386018818099678002049340188527776263184443766792720779388355668914597349247558933187466674202159314134034308308763412162079
#
n: 2122007525725015854401658621989638798858750879572321562280230670358462451368901396652852830198418193471728746092712541831792167521877816847321029262404171
m: 10000000000000000000000000000000000000000
deg: 5
c5: 26000
c0: 7
skew: 0.19
# Murphy_E = 1.04e-11
type: snfs
lss: 1
rlim: 17900000
alim: 17900000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17900000/17900000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 36150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8145121 hash collisions in 58021552 relations (52101967 unique)
Msieve: matrix is 2112102 x 2112327 (737.1 MB)

Sieving start time : 2021/05/03 06:36:26
Sieving end time  : 2021/05/03 18:06:53

Total sieving time: 11hrs 30min 27secs.

Total relation processing time: 1hrs 24min 35sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 51sec.

Prototype def-par.txt line would be:
snfs,204,5,0,0,0,0,0,0,0,0,17900000,17900000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118393] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241108K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486128K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.30 BogoMIPS (lpj=12798612)
[    0.152049] smpboot: Total of 16 processors activated (102388.89 BogoMIPS)

787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787878787879<204>

63894738967811189061573353738531<32>
12330886714721605795294185720747858218520518393446508520271138355895522082249129184906332579712334310026982477196844428533562238708815785075510229514867806611145664437848109<173>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4262663752
Step 1 took 9874ms
Step 2 took 5866ms
********** Factor found in step 2: 63894738967811189061573353738531
Found probable prime factor of 32 digits: 63894738967811189061573353738531
Probable prime cofactor 12330886714721605795294185720747858218520518393446508520271138355895522082249129184906332579712334310026982477196844428533562238708815785075510229514867806611145664437848109 has 173 digits

GMP-ECM 6.3

119141905717296890703283458873957134579906411628230177031132506953796091385099956340201939104648829349469916436620468138158020746997428041440576155539466910595786136762778681473781777<183>

2580063448865504196679284582852793930392593<43>

46177897589954821353428723757774299578261822212644602254850007595866928143463308842558154890215240434637878162260525303450006754994805337089<140>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2192613366
Step 1 took 116236ms
Step 2 took 37467ms
********** Factor found in step 2: 2580063448865504196679284582852793930392593
Found probable prime factor of 43 digits: 2580063448865504196679284582852793930392593

46177897589954821353428723757774299578261822212644602254850007595866928143463308842558154890215240434637878162260525303450006754994805337089<140>

3239307511687114383968061854394924310300991306416358519<55>
14255484366133608793718038714830183857432453465674225312469014523411425306848668617031<86>

<Polynomial selection using msieve 1.52 win64 CUDA>

Mon Dec 02 22:03:12 2013  Msieve v. 1.52 (SVN unknown)
Mon Dec 02 22:03:12 2013  random seeds: c3d0104c 847f5f84
Mon Dec 02 22:03:12 2013  factoring 46177897589954821353428723757774299578261822212644602254850007595866928143463308842558154890215240434637878162260525303450006754994805337089 (140 digits)
Mon Dec 02 22:03:13 2013  searching for 15-digit factors
Mon Dec 02 22:03:13 2013  commencing number field sieve (140-digit input)
Mon Dec 02 22:03:13 2013  commencing number field sieve polynomial selection
Mon Dec 02 22:03:13 2013  polynomial degree: 5
Mon Dec 02 22:03:13 2013  max stage 1 norm: 2.06e+021
Mon Dec 02 22:03:13 2013  max stage 2 norm: 3.77e+019
Mon Dec 02 22:03:13 2013  min E-value: 1.67e-011
Mon Dec 02 22:03:13 2013  poly select deadline: 220303
Mon Dec 02 22:03:13 2013  time limit set to 61.20 CPU-hours
Mon Dec 02 22:03:13 2013  expecting poly E from 2.15e-011 to > 2.48e-011
<...snipped...>
Tue Dec 03 08:22:16 2013  polynomial selection complete
Tue Dec 03 08:22:16 2013  R0: -991054508394303308751287165
Tue Dec 03 08:22:16 2013  R1: 1008266093822453
Tue Dec 03 08:22:16 2013  A0: -33233900831305017444078650425352232
Tue Dec 03 08:22:16 2013  A1: 208123868450957220887924072826
Tue Dec 03 08:22:16 2013  A2: 125364665403913234997468
Tue Dec 03 08:22:16 2013  A3: -261005347825353506
Tue Dec 03 08:22:16 2013  A4: -74559449131
Tue Dec 03 08:22:16 2013  A5: 48300
Tue Dec 03 08:22:16 2013  skew 1371503.25, size 1.498e-013, alpha -7.092, combined = 2.081e-011 rroots = 5
Tue Dec 03 08:22:16 2013  elapsed time 02:03:46

<Sieving>
<    [8000000, 8500000]>
<    Intel Xeon W3530 @ 2.8GHz, 3 threads>
<    2013-12-03 08:40:29 .. 2013-12-03 18:34:48, 35660s>
<    1612020 relations>

<Resuming on 2x Intel Xeon E5-2620 @ 2.0GHz, 24 threads>

Wed Dec 04 09:18:55 2013 -> factmsieve.py (v0.76)
Wed Dec 04 09:18:55 2013 -> This is client 1 of 1
Wed Dec 04 09:18:55 2013 -> Running on 12 Cores with 2 hyper-threads per Core
Wed Dec 04 09:18:55 2013 -> Working with NAME = 86669_206
Wed Dec 04 09:18:55 2013 -> Selected lattice siever: gnfs-lasieve4I14e
Wed Dec 04 09:18:55 2013 -> Creating param file to detect parameter changes...
Wed Dec 04 09:18:55 2013 -> Running setup ...
Wed Dec 04 09:18:55 2013 -> Estimated minimum relations needed: 2.244e+07
Wed Dec 04 09:18:56 2013 -> cleaning up before a restart
Wed Dec 04 09:18:56 2013 -> Running lattice siever ...
<...snipped...>
Wed Dec 04 09:18:56 2013 -> Lattice sieving algebraic q from 8500000 to 8600000.
<...snipped...>
Wed Dec 04 09:50:16 2013 Found 1932928 relations, 8.6% of the estimated minimum (22440000).
<...snipped...>
Wed Dec 04 15:20:24 2013 Found 5497504 relations, 24.5% of the estimated minimum (22440000).
<...snipped...>
Thu Dec 05 00:18:30 2013 Found 11353847 relations, 50.6% of the estimated minimum (22440000).
<...snipped...>
Thu Dec 05 08:07:54 2013 Found 16829339 relations, 75.0% of the estimated minimum (22440000).
<...snipped...>
Thu Dec 05 16:25:04 2013 Found 22565741 relations, 100.6% of the estimated minimum (22440000).
Thu Dec 05 16:25:04 2013  
<...snipped...>
Thu Dec 05 16:25:05 2013  
Thu Dec 05 16:25:05 2013  commencing relation filtering
Thu Dec 05 16:25:05 2013  estimated available RAM is 4096.0 MB
Thu Dec 05 16:25:05 2013  commencing duplicate removal, pass 1
Thu Dec 05 16:27:29 2013  found 2534510 hash collisions in 22565740 relations
Thu Dec 05 16:28:20 2013  added 121653 free relations
Thu Dec 05 16:28:20 2013  commencing duplicate removal, pass 2
Thu Dec 05 16:28:37 2013  found 1981295 duplicates and 20706098 unique relations
Thu Dec 05 16:28:37 2013  memory use: 98.6 MB
Thu Dec 05 16:28:37 2013  reading ideals above 15007744
Thu Dec 05 16:28:42 2013  commencing singleton removal, initial pass
Thu Dec 05 16:31:23 2013  memory use: 376.5 MB
Thu Dec 05 16:31:23 2013  reading all ideals from disk
Thu Dec 05 16:31:23 2013  memory use: 361.1 MB
Thu Dec 05 16:31:24 2013  commencing in-memory singleton removal
Thu Dec 05 16:31:25 2013  begin with 20706098 relations and 20220961 unique ideals
Thu Dec 05 16:31:36 2013  reduce to 9320578 relations and 7138763 ideals in 19 passes
Thu Dec 05 16:31:36 2013  max relations containing the same ideal: 19
Thu Dec 05 16:31:37 2013  reading ideals above 100000
Thu Dec 05 16:31:37 2013  commencing singleton removal, initial pass
Thu Dec 05 16:33:15 2013  memory use: 188.3 MB
Thu Dec 05 16:33:15 2013  reading all ideals from disk
Thu Dec 05 16:33:15 2013  memory use: 373.8 MB
Thu Dec 05 16:33:16 2013  keeping 9042868 ideals with weight <= 200, target excess is 50743
Thu Dec 05 16:33:16 2013  commencing in-memory singleton removal
Thu Dec 05 16:33:17 2013  begin with 9323176 relations and 9042868 unique ideals
Thu Dec 05 16:33:26 2013  reduce to 9301179 relations and 9008949 ideals in 12 passes
Thu Dec 05 16:33:26 2013  max relations containing the same ideal: 200
Thu Dec 05 16:33:30 2013  removing 1075118 relations and 958434 ideals in 116684 cliques
Thu Dec 05 16:33:31 2013  commencing in-memory singleton removal
Thu Dec 05 16:33:32 2013  begin with 8226061 relations and 9008949 unique ideals
Thu Dec 05 16:33:39 2013  reduce to 8120430 relations and 7942996 ideals in 11 passes
Thu Dec 05 16:33:39 2013  max relations containing the same ideal: 189
Thu Dec 05 16:33:42 2013  removing 804475 relations and 687791 ideals in 116684 cliques
Thu Dec 05 16:33:43 2013  commencing in-memory singleton removal
Thu Dec 05 16:33:43 2013  begin with 7315955 relations and 7942996 unique ideals
Thu Dec 05 16:33:49 2013  reduce to 7246561 relations and 7184817 ideals in 9 passes
Thu Dec 05 16:33:49 2013  max relations containing the same ideal: 177
Thu Dec 05 16:33:54 2013  relations with 0 large ideals: 159
Thu Dec 05 16:33:54 2013  relations with 1 large ideals: 108
Thu Dec 05 16:33:54 2013  relations with 2 large ideals: 1107
Thu Dec 05 16:33:54 2013  relations with 3 large ideals: 14210
Thu Dec 05 16:33:54 2013  relations with 4 large ideals: 105656
Thu Dec 05 16:33:54 2013  relations with 5 large ideals: 456561
Thu Dec 05 16:33:54 2013  relations with 6 large ideals: 1220982
Thu Dec 05 16:33:54 2013  relations with 7+ large ideals: 5447778
Thu Dec 05 16:33:54 2013  commencing 2-way merge
Thu Dec 05 16:33:59 2013  reduce to 4274972 relation sets and 4213228 unique ideals
Thu Dec 05 16:33:59 2013  commencing full merge
Thu Dec 05 16:35:20 2013  memory use: 444.1 MB
Thu Dec 05 16:35:21 2013  found 2216415 cycles, need 2207428
Thu Dec 05 16:35:21 2013  weight of 2207428 cycles is about 154735729 (70.10/cycle)
Thu Dec 05 16:35:21 2013  distribution of cycle lengths:
Thu Dec 05 16:35:21 2013  1 relations: 305751
Thu Dec 05 16:35:21 2013  2 relations: 279883
Thu Dec 05 16:35:21 2013  3 relations: 275828
Thu Dec 05 16:35:21 2013  4 relations: 243367
Thu Dec 05 16:35:21 2013  5 relations: 206014
Thu Dec 05 16:35:21 2013  6 relations: 176340
Thu Dec 05 16:35:21 2013  7 relations: 147407
Thu Dec 05 16:35:21 2013  8 relations: 120936
Thu Dec 05 16:35:21 2013  9 relations: 99315
Thu Dec 05 16:35:21 2013  10+ relations: 352587
Thu Dec 05 16:35:21 2013  heaviest cycle: 24 relations
Thu Dec 05 16:35:21 2013  commencing cycle optimization
Thu Dec 05 16:35:24 2013  start with 12140033 relations
Thu Dec 05 16:35:46 2013  pruned 236574 relations
Thu Dec 05 16:35:46 2013  memory use: 332.0 MB
Thu Dec 05 16:35:46 2013  distribution of cycle lengths:
Thu Dec 05 16:35:46 2013  1 relations: 305751
Thu Dec 05 16:35:46 2013  2 relations: 285911
Thu Dec 05 16:35:46 2013  3 relations: 284535
Thu Dec 05 16:35:46 2013  4 relations: 246949
Thu Dec 05 16:35:46 2013  5 relations: 209533
Thu Dec 05 16:35:46 2013  6 relations: 176677
Thu Dec 05 16:35:46 2013  7 relations: 147207
Thu Dec 05 16:35:46 2013  8 relations: 119824
Thu Dec 05 16:35:46 2013  9 relations: 97697
Thu Dec 05 16:35:46 2013  10+ relations: 333344
Thu Dec 05 16:35:46 2013  heaviest cycle: 24 relations
Thu Dec 05 16:35:48 2013  RelProcTime: 643
Thu Dec 05 16:35:48 2013  elapsed time 00:10:44
Thu Dec 05 16:35:48 2013 LatSieveTime: 2273.99
Thu Dec 05 16:35:48 2013 -> Running matrix solving step ...
Thu Dec 05 16:35:48 2013  
<...snipped...>
Thu Dec 05 16:35:50 2013  commencing linear algebra
Thu Dec 05 16:35:51 2013  read 2207428 cycles
Thu Dec 05 16:35:55 2013  cycles contain 7149739 unique relations
Thu Dec 05 16:36:42 2013  read 7149739 relations
Thu Dec 05 16:36:53 2013  using 20 quadratic characters above 268434998
Thu Dec 05 16:37:32 2013  building initial matrix
Thu Dec 05 16:39:18 2013  memory use: 853.2 MB
Thu Dec 05 16:39:21 2013  read 2207428 cycles
Thu Dec 05 16:39:22 2013  matrix is 2207251 x 2207428 (638.3 MB) with weight 211900788 (95.99/col)
Thu Dec 05 16:39:22 2013  sparse part has weight 149661820 (67.80/col)
Thu Dec 05 16:39:44 2013  filtering completed in 2 passes
Thu Dec 05 16:39:45 2013  matrix is 2205488 x 2205665 (638.2 MB) with weight 211835493 (96.04/col)
Thu Dec 05 16:39:45 2013  sparse part has weight 149648173 (67.85/col)
Thu Dec 05 16:39:53 2013  matrix starts at (0, 0)
Thu Dec 05 16:39:54 2013  matrix is 2205488 x 2205665 (638.2 MB) with weight 211835493 (96.04/col)
Thu Dec 05 16:39:54 2013  sparse part has weight 149648173 (67.85/col)
Thu Dec 05 16:39:54 2013  saving the first 48 matrix rows for later
Thu Dec 05 16:39:55 2013  matrix includes 64 packed rows
Thu Dec 05 16:39:55 2013  matrix is 2205440 x 2205665 (614.2 MB) with weight 169243339 (76.73/col)
Thu Dec 05 16:39:55 2013  sparse part has weight 147770904 (67.00/col)
Thu Dec 05 16:39:55 2013  using block size 65536 for processor cache size 15360 kB
Thu Dec 05 16:40:10 2013  commencing Lanczos iteration (24 threads)
Thu Dec 05 16:40:10 2013  memory use: 899.1 MB
Thu Dec 05 16:40:20 2013  linear algebra at 0.1%, ETA 3h38m
Thu Dec 05 16:40:23 2013  checkpointing every 610000 dimensions
Thu Dec 05 20:25:03 2013  lanczos halted after 34879 iterations (dim = 2205439)
Thu Dec 05 20:25:07 2013  recovered 30 nontrivial dependencies
Thu Dec 05 20:25:07 2013  BLanczosTime: 13757
Thu Dec 05 20:25:07 2013  elapsed time 03:49:19
Thu Dec 05 20:25:07 2013 -> Running square root step ...
Thu Dec 05 20:25:07 2013  
<...snipped...>
Thu Dec 05 20:25:08 2013  commencing square root phase
Thu Dec 05 20:25:08 2013  reading relations for dependency 1
Thu Dec 05 20:25:09 2013  read 1101999 cycles
Thu Dec 05 20:25:11 2013  cycles contain 3574634 unique relations
Thu Dec 05 20:25:38 2013  read 3574634 relations
Thu Dec 05 20:25:58 2013  multiplying 3574634 relations
Thu Dec 05 20:36:15 2013  multiply complete, coefficients have about 176.68 million bits
Thu Dec 05 20:36:18 2013  initial square root is modulo 2190107
Thu Dec 05 20:48:44 2013  GCD is 1, no factor found
Thu Dec 05 20:48:44 2013  reading relations for dependency 2
Thu Dec 05 20:48:45 2013  read 1104290 cycles
Thu Dec 05 20:48:47 2013  cycles contain 3579562 unique relations
Thu Dec 05 20:49:14 2013  read 3579562 relations
Thu Dec 05 20:49:34 2013  multiplying 3579562 relations
Thu Dec 05 20:59:55 2013  multiply complete, coefficients have about 176.92 million bits
Thu Dec 05 20:59:58 2013  initial square root is modulo 2235091
Thu Dec 05 21:12:30 2013  sqrtTime: 2842
Thu Dec 05 21:12:30 2013  prp55 factor: 3239307511687114383968061854394924310300991306416358519
Thu Dec 05 21:12:30 2013  prp86 factor: 14255484366133608793718038714830183857432453465674225312469014523411425306848668617031
Thu Dec 05 21:12:30 2013  elapsed time 00:47:23

msieve 1.52 (SVN 942) win 64 CUDA for polynomial selection, GGNFS (SVN 440), msieve 1.51 (SVN 845)

Windows 7 Pro 64 bits, Intel Xeon W3530 @ 2.8 GHz, 8GB RAM
Windows 7 Pro 64 bits, 2x Intel Xeon E5-2620 @ 2.0 GHz, 2x NVIDIA GeForce GTX 660, 32 GB RAM

8522251540022441572514292441015128626458473979296840720001752081449028274227985407268616387190526693417365616023428466822367383155309602460545821<145>

369327312659776907058994400809537<33>
23075064442561580510498595604368709243625499206799600070282878653930511110210460946053167775612894859530818810333<113>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3835917601
Step 1 took 16493ms
Step 2 took 7106ms
********** Factor found in step 2: 369327312659776907058994400809537
Found probable prime factor of 33 digits: 369327312659776907058994400809537

229291062522665080353905439435744908495448428764035903488699837903452821650997788820793468606977861101982988332103829910577071332865402125200603976349433161585569423604103<171>

2834835083518913071893021923523304290499472835932254027241945254950692119648303192128436326895052138444144547089539402458588407166233923675842138250833585809540203<163>

12130739414270648798191975367159755835115612003322250397126263576831424063387234818497100438593877883753891309091817544244376539911386949908261986565307535417861<161>

133187800765023782006310147881807<33>
8124362219195896773488903977225539577<37>
11210721088276652290143453050983975214864021223341032049384210555848402367390582786519866499<92>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3807862131
Step 1 took 6286ms
Step 2 took 4571ms
********** Factor found in step 2: 8124362219195896773488903977225539577
Found probable prime factor of 37 digits: 8124362219195896773488903977225539577
Composite cofactor 1493131286737641355860469901497067253034127592013472123174772164097345081601021536271045476097433817380276829261789270883693 has 124 digits

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4102810070
Step 1 took 4336ms
Step 2 took 3666ms
********** Factor found in step 2: 133187800765023782006310147881807
Found probable prime factor of 33 digits: 133187800765023782006310147881807
Probable prime cofactor 11210721088276652290143453050983975214864021223341032049384210555848402367390582786519866499 has 92 digits

GMP-ECM 6.3

172490867388081273912221185233306135800448287303007068152274220281349700087217584277623623520893916839468793564258770653692554568621733407700378169764826560525139393840614729729472109133669<189>

1986675076481892422399120484050917<34>
86823894571394671805449257113729580148972808994451384316435683451791316398933997755646733931154535369840212720953227081920090308780470970650461611128144257<155>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=874257122
Step 1 took 8565ms
Step 2 took 5397ms
********** Factor found in step 2: 1986675076481892422399120484050917
Found probable prime factor of 34 digits: 1986675076481892422399120484050917
Probable prime cofactor 86823894571394671805449257113729580148972808994451384316435683451791316398933997755646733931154535369840212720953227081920090308780470970650461611128144257 has 155 digits

GMP-ECM 6.3

28899971567342990885921461147216705747384467645243708850157509007267927704826517116299543759233689147684969339647027289872312011906907567309224087689887893566784445827839105869881548327448451746857910173<203>

2348556246729859753792662796337506391517639213385937161545102041157362484714389874960698701436668222703855848410555528379380954561653645320329390088723403099541694064675564598348557<181>

563268689222198536207448067428528296771815711436159<51>
4169513221075563849372906832750467680857583191671089834698127873824402246268045986590585648278857822611438707690542748876478539123<130>

Number: 86669_220
N = 2348556246729859753792662796337506391517639213385937161545102041157362484714389874960698701436668222703855848410555528379380954561653645320329390088723403099541694064675564598348557 (181 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=563268689222198536207448067428528296771815711436159 (pp51)
r2=4169513221075563849372906832750467680857583191671089834698127873824402246268045986590585648278857822611438707690542748876478539123 (pp130)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 92.92 hours.
Factorization parameters were as follows:
n: 2348556246729859753792662796337506391517639213385937161545102041157362484714389874960698701436668222703855848410555528379380954561653645320329390088723403099541694064675564598348557
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 26
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: 8251500 relations
Pruned matrix : 7215158 x 7215383
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 41.64 hours.
Total relation processing time: 0.51 hours.
Matrix solve time: 48.44 hours.
time per square root: 2.33 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000
total time: 92.92 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

901308050514221541916970358058602061390512720930088368335936753297415067077447639950629253663257302258380926120421489924399153969696693922216868971205261229928727122286535263971023248626522705678247<198>

8559164039525724142825126594582303766513629654089737543425922753<64>
105303280361497119463286442332696901393109287055523830043078110261684470414543551780506561763289701737580508472433004624345709681616999<135>

Number: 86669_222
N = 901308050514221541916970358058602061390512720930088368335936753297415067077447639950629253663257302258380926120421489924399153969696693922216868971205261229928727122286535263971023248626522705678247 (198 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=8559164039525724142825126594582303766513629654089737543425922753 (pp64)
r2=105303280361497119463286442332696901393109287055523830043078110261684470414543551780506561763289701737580508472433004624345709681616999 (pp135)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 44.56 hours.
Factorization parameters were as follows:
n: 901308050514221541916970358058602061390512720930088368335936753297415067077447639950629253663257302258380926120421489924399153969696693922216868971205261229928727122286535263971023248626522705678247
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 2600
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: 35261399
Relations: 9356498 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 20.29 hours.
Total relation processing time: 0.31 hours.
Pruned matrix : 8057073 x 8057298
Matrix solve time: 23.80 hours.
time per square root: 0.17 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 44.56 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_Factory, Msieve

12059023538829239696024208642587156813628731367172628861965856524978849493935659892957923175941467050395869303201514183211737377642115630094840605478205440232818210143081370636451293670066457124376920529<203>

1210917358912320240918554285965658095189201046859623862089741136764728149214098784484587599831881776836612175450776349480735024319959271530552501793666121377634595391941052207896035996467229881861963460199440169<211>

3592043464025184078926104891094528829233<40>

337110998527669934376043345282261123881139276145882534252248899677820135625851183492697827613248620458947392435390987044244972444434584922927702513519931864297832053385593<171>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=782510832
Step 1 took 27402ms
********** Factor found in step 1: 3592043464025184078926104891094528829233
Found probable prime factor of 40 digits: 3592043464025184078926104891094528829233

5285457377818526857840039389881391805899414057959535345615138415973269801050680064980215205254639269106758222627694653406926176103589362060999940152422695247343497669685571040668493565398353167857034192654539<208>

57407332602291844032148478160358391767477689616679042687798489945674540043707851035596918256956637879904123416773807515866402122528600300766481154864729355337432799693451215409677893928678729201<194>

5047213910869455495702987999613393<34>

11374063714371599088260586633842880988042642977094972947910598813554046962765401118507897829090022765478439098849315120369421077342105613659862896641110091610657<161>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2300675874
Step 1 took 27530ms
Step 2 took 9983ms
********** Factor found in step 2: 5047213910869455495702987999613393
Found probable prime factor of 34 digits: 5047213910869455495702987999613393

17715287560233328980955988612966529192392838581095604610557057321663575545876323566643475410550263903684885560908537676880663941762418345064854275615964690745867540880381036884847<179>

49350094505459165370573898165927<32>

358971704872290428556348706277823955022507101743758441464351450404621629756798649939412862590900372315129305775362323789034097778116048114942227961<147>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=420175193
Step 1 took 23531ms
Step 2 took 2871ms
********** Factor found in step 2: 49350094505459165370573898165927
Found probable prime factor of 32 digits: 49350094505459165370573898165927

358971704872290428556348706277823955022507101743758441464351450404621629756798649939412862590900372315129305775362323789034097778116048114942227961<147>

826173321049801532069482800667476922875213229543<48>
434499269979031069714633311143097487629293805209985034699505512270804397154452405542215697696932127<99>

Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=3531444531
Step 1 took 35966ms
Step 2 took 22902ms
********** Factor found in step 2: 826173321049801532069482800667476922875213229543
Found probable prime factor of 48 digits: 826173321049801532069482800667476922875213229543
Probable prime cofactor

92175663744134813239704436080718997932132721694917313094861434279180361323897150502177982652847502429195453279094001700835545859820068004317611767462692468231605258773645360654662435287455018821038416486901904307<212>

77776077391186400602330789077088818217210558263902869836345082690980487565177809271744195895913730983962066866669036255578096239709464646302046478738786439352351126250236627988928283849157974946075913887171<206>

45378809791206063237630789404111<32>

1713929425409006376904609517663234134532296901773457107788379779815436314659895959979918873095973765217907783434549098667456167923357339578702285253264294933574412190076672461<175>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1536602832
Step 1 took 27117ms
Step 2 took 10217ms
********** Factor found in step 2: 45378809791206063237630789404111
Found probable prime factor of 32 digits: 45378809791206063237630789404111

1837339830142223453027054332045779187527366994745527028552658959635342664606677761000943690694630641358996295080720023577019298971578895528967057457671113437139126732955171413430125372052640939459<196>

45975304188527039667846110047195418030453334182108179890755604124338441896941050818625656695330500547282947936504568353783502292576226170204112667787756776494595249336452580894431860178490277107304591695091782621688672922844598167<230>

75298345015851027172219255887455405079391063<44>

610575228165357354607369640019502163099907088876245565585456402565655123894536319742909589379994418534721681214183127730895128819538345390994936392034253201982455553280568980261956982209<186>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3975053887
Step 1 took 67144ms
Step 2 took 22080ms
********** Factor found in step 2: 75298345015851027172219255887455405079391063
Found probable prime factor of 44 digits: 75298345015851027172219255887455405079391063
Composite cofactor

54035973267012861215322023146313159933777485153930921082061703842314490802422388523249586065491733318147777894167888045741133857554836175603909575294660101225223039887968752107733275357732944217<194>

94191586466672570876229881780213<32>

573681528191822012529230519058388295060359689055731804615629938954115385829196025188712985577051036658401073103622826475928144103535953521298565590075353772577109<162>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=7800707
Step 1 took 10078ms
Step 2 took 5756ms
********** Factor found in step 2: 94191586466672570876229881780213
Found probable prime factor of 32 digits: 94191586466672570876229881780213
Composite cofactor 573681528191822012529230519058388295060359689055731804615629938954115385829196025188712985577051036658401073103622826475928144103535953521298565590075353772577109 has 162 digits

GMP-ECM 6.3

573681528191822012529230519058388295060359689055731804615629938954115385829196025188712985577051036658401073103622826475928144103535953521298565590075353772577109<162>

11443229874847692976127462364919105550612844167112821<53>
50132832641313831429706295117568713203472033707967022604929342534904277181184885550290127941464167798647679329<110>

prp53 = 11443229874847692976127462364919105550612844167112821 (curve 294 stg2 B1=260000000 sigma=2886001025 thread=1)

3383869524032715559183420849117202691949997997039652064161999950136490426599989502639535409901484043395717387658826542867188349138180727484808175841141107156531232070030887419<175>

104509771454243003514852611782594957191691593802352642803906388652413872257088740740631447051098136479948036340663627172847492596626525903038711977949921137270851382221570149383051157849898135756362668118323<207>

2520653738120310665580471955076517007946683489174598879963921613293207556665973362250672083588945256882250169908204607756753426831325533645337633877072333687836713843122848344896062359269743389933027726358217117<211>

43150080960673363444633549930978976712228724482531583476836139036319188788765659348665112235940584627183656773287086415342592974183749193941148747049389655556967998810425367197850588980116937068272854945402993428509<215>

151745418506382371198766457961342231309019764406918190580284764225757390268793494580881314465606591960541203291292178869713701190448449737111451790557979481624458429017790217450952060780472736341325088133821073<210>

1274451133327548121474326071899<31>
119067271029984725388306054055911246375482784889108498683997899149370427171703709753093523898983074794355286572622414231509996286563968963866325724537045427037744456113424434500227<180>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=97266949
Step 1 took 9922ms
Step 2 took 5896ms
********** Factor found in step 2: 1274451133327548121474326071899
Found probable prime factor of 31 digits: 1274451133327548121474326071899
Probable prime cofactor 119067271029984725388306054055911246375482784889108498683997899149370427171703709753093523898983074794355286572622414231509996286563968963866325724537045427037744456113424434500227 has 180 digits

GMP-ECM 6.3

1378763303886012200801924523294471862345571502655699819018514779911243502319442316741589847569964340711956037719108916529887842251062536844997595375100452431883130291837157185350037723603919122593367304480362967<211>

968417831087992351832765164740146576507<39>
1423727713002772096794783710995542014941993444528532587951617522931938838682082681659420269028655612466673376375816726685464960490719925886628155127565574673580975781373781<172>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1627095181
Step 1 took 29337ms
Step 2 took 10275ms
********** Factor found in step 2: 968417831087992351832765164740146576507
Found probable prime factor of 39 digits: 968417831087992351832765164740146576507

18233976540961032798172108512909136924907779507337445846136403581946779060507701884457762036196798768843467841816270483006135678948422108995960220176806746636366686075130827338106416997606486450204838349367099278599719<218>

48597250986620678795577341580383803446331364454293958554870802531843168015992968854357019783986720683084062502182646814898001214849552780607853377191222873880565363888707514400093085003291710375460130901327336454333152783576023189800963<236>

105407173358891691633297229946989<33>

461043109667272238211096282916336914549991157160823044260926161524483874185414956694170523732827060618626105719299138317056072475571386785401941767569493755257826873965816291750886234462704801898171704367<204>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1335520017
Step 1 took 12808ms
Step 2 took 6973ms
********** Factor found in step 2: 105407173358891691633297229946989
Found probable prime factor of 33 digits: 105407173358891691633297229946989
Composite cofactor 461043109667272238211096282916336914549991157160823044260926161524483874185414956694170523732827060618626105719299138317056072475571386785401941767569493755257826873965816291750886234462704801898171704367 has 204 digits

GMP-ECM 6.3

461043109667272238211096282916336914549991157160823044260926161524483874185414956694170523732827060618626105719299138317056072475571386785401941767569493755257826873965816291750886234462704801898171704367<204>

4065143219950396924239316214337383<34>

113413743310352029543702624706462936744406697049454126795868640744395344033211375985235440011475240940941493791112705512750593084323043824486290431790423101723756495712249<171>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2437033830
Step 1 took 27242ms
Step 2 took 10243ms
********** Factor found in step 2: 4065143219950396924239316214337383
Found probable prime factor of 34 digits: 4065143219950396924239316214337383

113413743310352029543702624706462936744406697049454126795868640744395344033211375985235440011475240940941493791112705512750593084323043824486290431790423101723756495712249<171>

28401215338332236509807676904317128402321298437<47>
3993270779412070777815450985316740702021373524890584056641550219470461174989275383802049495341712566714916787826695531659877<124>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1134278359
Step 1 took 284991ms
Step 2 took 84037ms
********** Factor found in step 2: 28401215338332236509807676904317128402321298437
Found probable prime factor of 47 digits: 28401215338332236509807676904317128402321298437

1874842009858064948636009857281841550353757845603586236447045632938474516151211918173942475299924587580853706410394685401507140351298045675721648088031539405682827414680286519903471682374385067955224235686925552509396385464255001721000406553<241>

1558264355678395433417592555285416695272139757245457194932701271955128832088261648627558114526566930803815102934347037487831742919823075941017120971946034874238399143682057834391489604734256537776058331776863972264589003189<223>

1354479140724097876443937299318362950759152909358725829517783655366918791711215166059065678895673895804973601016620641674583059693418073419560379920940886105906065717841929041101784479292709124514179913263657<208>

59794083332312186516821421466808386059620497013195768808788225585055429766760723581348589249018146000902341272429742304885976024745754034832651438639333566076932600699416251049097167404451308958113428064766899637104737854598849298859<233>

7114481497276911716105536907616357979560144334078982901837775521034135721802783734141710755093653411610361935498072420900627250677881968686015348982458498114558094997012442539<175>

3425559947299077733860342555994729907773386034255599472990777338603425559947299077733860342555994729907773386034255599472990777338603425559947299077733860342555994729907773386034255599472990777338603425559947299077733860342555994729907773386034255599473<253>

123354413644303682832233173702612234526112105433329421005298148446126891625528642353675789255756654769853243677190969487103143618271389011613961757247487877226163733911119797064071282770491179244654194903407678454068942525711527403810051382822647<246>