10864170389492621713887688437592268242281849116630336809018002659369183534472898278101<86>

2250840383065374476660390416449163<34>
4826717376865668928860462385967332051145261248208927<52>

SNFS difficulty: 109 digits.
Divisors found:
 r1=2250840383065374476660390416449163 (pp34)
 r2=4826717376865668928860462385967332051145261248208927 (pp52)
Version: Msieve v. 1.44 SVN157
Total time: 0.29 hours.
Scaled time: 0.70 units (timescale=2.400).
Factorization parameters were as follows:
n: 10864170389492621713887688437592268242281849116630336809018002659369183534472898278101
m: 1000000000000000000000000000
c4: 37
c0: 305
skew: 1.7
type: snfs
lss: 1
rlim: 720000
alim: 720000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 720000/720000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [450000, 530001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 53959 x 54192
Total sieving time: 0.27 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,109.000,4,0,0,0,0,0,0,0,0,720000,720000,25,25,46,46,2.2,2.2,20000
total time: 0.29 hours.

8989572983088982751166750907171479835045440238986699841864881544028219018306780629364191182137438209<100>

563602112372708317617980288191911035029<39>
15950211657730988415038334312149400688661818233423030683679421<62>

N=8989572983088982751166750907171479835045440238986699841864881544028219018306780629364191182137438209
  ( 100 digits)
SNFS difficulty: 112 digits.
Divisors found:
 r1=563602112372708317617980288191911035029 (pp39)
 r2=15950211657730988415038334312149400688661818233423030683679421 (pp62)
Version: Msieve-1.40
Total time: 1.67 hours.
Scaled time: 1.56 units (timescale=0.934).
Factorization parameters were as follows:
n: 8989572983088982751166750907171479835045440238986699841864881544028219018306780629364191182137438209
m: 10000000000000000000000
deg: 5
c5: 740
c0: 61
skew: 0.61
type: snfs
lss: 1
rlim: 530000
alim: 530000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 530000/530000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [265000, 565001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 56638 x 56863
Total sieving time: 1.64 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,112.000,5,0,0,0,0,0,0,0,0,530000,530000,25,25,45,45,2.2,2.2,50000
total time: 1.67 hours.
 --------- CPU info (if available) ----------

43456445369400431858541615559658731736812114940316184782375173041744328372604129307801<86>

12315529416530574258342835486792509285359<41>
3528589303767227768984353376316517100677173239<46>

SNFS difficulty: 113 digits.
Divisors found:
 r1=12315529416530574258342835486792509285359 (pp41)
 r2=3528589303767227768984353376316517100677173239 (pp46)
Version: Msieve v. 1.44 SVN157
Total time: 0.40 hours.
Scaled time: 0.95 units (timescale=2.400).
Factorization parameters were as follows:
n: 43456445369400431858541615559658731736812114940316184782375173041744328372604129307801
m: 10000000000000000000000000000
c4: 74
c0: 61
skew: 1
type: snfs
lss: 1
rlim: 720000
alim: 720000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 720000/720000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [450000, 570001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 60630 x 60862
Total sieving time: 0.37 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,113.000,4,0,0,0,0,0,0,0,0,720000,720000,25,25,46,46,2.2,2.2,20000
total time: 0.40 hours.

52302142209936222881304430329423590129733024590668305394126607900168320828492318582660974590047948548509747<107>

152311743602256834131893227862610363<36>
343388769460329724607509143765235446375447611714594605904033116462036969<72>

N=52302142209936222881304430329423590129733024590668305394126607900168320828492318582660974590047948548509747
  ( 107 digits)
SNFS difficulty: 120 digits.
Divisors found:
 r1=152311743602256834131893227862610363 (pp36)
 r2=343388769460329724607509143765235446375447611714594605904033116462036969 (pp72)
Version: Msieve-1.40
Total time: 2.10 hours.
Scaled time: 1.96 units (timescale=0.934).
Factorization parameters were as follows:
n: 52302142209936222881304430329423590129733024590668305394126607900168320828492318582660974590047948548509747
m: 200000000000000000000000
deg: 5
c5: 23125
c0: 61
skew: 0.30
type: snfs
lss: 1
rlim: 720000
alim: 720000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2Factor base limits: 720000/720000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [360000, 710001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 73192 x 73423
Total sieving time: 2.05 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,120.000,5,0,0,0,0,0,0,0,0,720000,720000,25,25,46,46,2.2,2.2,50000
total time: 2.10 hours.
 --------- CPU info (if available) ----------

11486949997445542185823867217727027194060559636188625390018905305583484899503250388542733194734326602709467<107>

308559185494221721031115233840989489929686135251099<51>
37227703913746085009705651168927833103843223313423056833<56>

N=11486949997445542185823867217727027194060559636188625390018905305583484899503250388542733194734326602709467
  ( 107 digits)
SNFS difficulty: 123 digits.
Divisors found:
 r1=308559185494221721031115233840989489929686135251099 (pp51)
 r2=37227703913746085009705651168927833103843223313423056833 (pp56)
Version: Msieve-1.40
Total time: 2.70 hours.
Scaled time: 2.52 units (timescale=0.934).
Factorization parameters were as follows:
n: 11486949997445542185823867217727027194060559636188625390018905305583484899503250388542733194734326602709467
m: 1000000000000000000000000
deg: 5
c5: 7400
c0: 61
skew: 0.38
type: snfs
lss: 1
rlim: 810000
alim: 810000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2Factor base limits: 810000/810000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [405000, 855001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 90966 x 91192
Total sieving time: 2.64 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,123.000,5,0,0,0,0,0,0,0,0,810000,810000,25,25,46,46,2.2,2.2,50000
total time: 2.70 hours.
 --------- CPU info (if available) ----------

138320065165230129082723295685726580035011913965986808986239346741050393455771139664081287056829997411<102>

695752493577978895594182027155123<33>
198806423896384388179349647760961233335965448691161387893058084659857<69>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=4164752218
Step 1 took 4769ms
Step 2 took 2956ms
********** Factor found in step 2: 695752493577978895594182027155123
Found probable prime factor of 33 digits: 695752493577978895594182027155123
Probable prime cofactor has 69 digits

47302586464459956701671756368298867464948386124384840645534428310227210010161685296952535716008913519870842373979<113>

611660091677869443698438990618077<33>
77334760119304703633257726425254190631007829847515523658433192775691093059416727<80>

Number: 82229_124
N=47302586464459956701671756368298867464948386124384840645534428310227210010161685296952535716008913519870842373979
  ( 113 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=611660091677869443698438990618077 (pp33)
 r2=77334760119304703633257726425254190631007829847515523658433192775691093059416727 (pp80)
Version: Msieve-1.40
Total time: 2.39 hours.
Scaled time: 4.75 units (timescale=1.988).
Factorization parameters were as follows:
name: 82229_124
n: 47302586464459956701671756368298867464948386124384840645534428310227210010161685296952535716008913519870842373979
m: 2000000000000000000000000
deg: 5
c5: 23125
c0: 61
skew: 0.30
type: snfs
lss: 1
rlim: 880000
alim: 880000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 880000/880000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [440000, 740001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 116277 x 116508
Total sieving time: 2.24 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,125.000,5,0,0,0,0,0,0,0,0,880000,880000,26,26,46,46,2.3,2.3,50000
total time: 2.39 hours.
 --------- CPU info (if available) ----------

253593299124814872383371824921670267614771719785459667874756305980688456090569545017<84>

169321191289383588566797568339453<33>
1497705616135215151950571088201633519490405701642989<52>

01/06/10 18:05:19 v1.14 @ ERIK-DATOR, starting SIQS on c84: 253593299124814872383371824921670267614771719785459667874756305980688456090569545017
01/06/10 18:05:19 v1.14 @ ERIK-DATOR, random seeds: 0, 3229277640
01/06/10 18:05:19 v1.14 @ ERIK-DATOR, ==== sieve params ====
01/06/10 18:05:19 v1.14 @ ERIK-DATOR, n = 85 digits, 282 bits
01/06/10 18:05:19 v1.14 @ ERIK-DATOR, factor base: 52838 primes (max prime = 1372667)
01/06/10 18:05:19 v1.14 @ ERIK-DATOR, single large prime cutoff: 130403365 (95 * pmax)
01/06/10 18:05:19 v1.14 @ ERIK-DATOR, double large prime range from 42 to 49 bits
01/06/10 18:05:19 v1.14 @ ERIK-DATOR, double large prime cutoff: 405060446376002
01/06/10 18:05:19 v1.14 @ ERIK-DATOR, allocating 12 large prime slices of factor base
01/06/10 18:05:19 v1.14 @ ERIK-DATOR, buckets hold 1024 elements
01/06/10 18:05:19 v1.14 @ ERIK-DATOR, sieve interval: 14 blocks of size 32768
01/06/10 18:05:19 v1.14 @ ERIK-DATOR, polynomial A has ~ 11 factors
01/06/10 18:05:19 v1.14 @ ERIK-DATOR, using multiplier of 17
01/06/10 18:05:19 v1.14 @ ERIK-DATOR, using small prime variation correction of 21 bits
01/06/10 18:05:19 v1.14 @ ERIK-DATOR, using SSE2 for trial division and x128 sieve scanning
01/06/10 18:05:19 v1.14 @ ERIK-DATOR, trial factoring cutoff at 90 bits
01/06/10 18:05:19 v1.14 @ ERIK-DATOR, ==== sieving started ( 2 threads) ====
01/06/10 18:19:35 v1.14 @ ERIK-DATOR, trial division touched 10388363 sieve locations out of 7944459780096
01/06/10 18:19:35 v1.14 @ ERIK-DATOR, 53013 relations found: 18817 full + 34196 from 478524 partial, using 8658774 polys (267 A polys)
01/06/10 18:19:35 v1.14 @ ERIK-DATOR, on average, sieving found 0.06 rels/poly and 580.60 rels/sec
01/06/10 18:19:35 v1.14 @ ERIK-DATOR, trial division touched 10388363 sieve locations out of 7944459780096
01/06/10 18:19:35 v1.14 @ ERIK-DATOR, ==== post processing stage (msieve-1.38) ====
01/06/10 18:19:37 v1.14 @ ERIK-DATOR, begin with 497341 relations
01/06/10 18:19:37 v1.14 @ ERIK-DATOR, reduce to 106626 relations in 8 passes
01/06/10 18:19:45 v1.14 @ ERIK-DATOR, recovered 106626 relations
01/06/10 18:19:45 v1.14 @ ERIK-DATOR, recovered 72387 polynomials
01/06/10 18:19:45 v1.14 @ ERIK-DATOR, attempting to build 53013 cycles
01/06/10 18:19:45 v1.14 @ ERIK-DATOR, found 53013 cycles in 4 passes
01/06/10 18:19:45 v1.14 @ ERIK-DATOR, distribution of cycle lengths:
01/06/10 18:19:45 v1.14 @ ERIK-DATOR,    length 1 : 18817
01/06/10 18:19:45 v1.14 @ ERIK-DATOR,    length 2 : 14312
01/06/10 18:19:45 v1.14 @ ERIK-DATOR,    length 3 : 9677
01/06/10 18:19:45 v1.14 @ ERIK-DATOR,    length 4 : 5322
01/06/10 18:19:45 v1.14 @ ERIK-DATOR,    length 5 : 2756
01/06/10 18:19:45 v1.14 @ ERIK-DATOR,    length 6 : 1192
01/06/10 18:19:45 v1.14 @ ERIK-DATOR,    length 7 : 546
01/06/10 18:19:45 v1.14 @ ERIK-DATOR,    length 9+: 391
01/06/10 18:19:45 v1.14 @ ERIK-DATOR, largest cycle: 13 relations
01/06/10 18:19:46 v1.14 @ ERIK-DATOR, matrix is 52838 x 53013 (10.1 MB) with weight 2443105 (46.09/col)
01/06/10 18:19:46 v1.14 @ ERIK-DATOR, sparse part has weight 2443105 (46.09/col)
01/06/10 18:19:46 v1.14 @ ERIK-DATOR, filtering completed in 3 passes
01/06/10 18:19:46 v1.14 @ ERIK-DATOR, matrix is 45087 x 45151 (8.9 MB) with weight 2140039 (47.40/col)
01/06/10 18:19:46 v1.14 @ ERIK-DATOR, sparse part has weight 2140039 (47.40/col)
01/06/10 18:19:47 v1.14 @ ERIK-DATOR, saving the first 48 matrix rows for later
01/06/10 18:19:47 v1.14 @ ERIK-DATOR, matrix is 45039 x 45151 (7.1 MB) with weight 1792620 (39.70/col)
01/06/10 18:19:47 v1.14 @ ERIK-DATOR, sparse part has weight 1593992 (35.30/col)
01/06/10 18:19:47 v1.14 @ ERIK-DATOR, matrix includes 64 packed rows
01/06/10 18:19:47 v1.14 @ ERIK-DATOR, using block size 18060 for processor cache size 2048 kB
01/06/10 18:19:48 v1.14 @ ERIK-DATOR, commencing Lanczos iteration
01/06/10 18:19:48 v1.14 @ ERIK-DATOR, memory use: 6.6 MB
01/06/10 18:20:05 v1.14 @ ERIK-DATOR, lanczos halted after 714 iterations (dim = 45034)
01/06/10 18:20:05 v1.14 @ ERIK-DATOR, recovered 15 nontrivial dependencies
01/06/10 18:20:06 v1.14 @ ERIK-DATOR, prp52 = 1497705616135215151950571088201633519490405701642989
01/06/10 18:20:08 v1.14 @ ERIK-DATOR, prp33 = 169321191289383588566797568339453
01/06/10 18:20:08 v1.14 @ ERIK-DATOR, Lanczos elapsed time = 29.9810 seconds.
01/06/10 18:20:08 v1.14 @ ERIK-DATOR, Sqrt elapsed time = 2.6870 seconds.
01/06/10 18:20:08 v1.14 @ ERIK-DATOR, SIQS elapsed time = 889.2630 seconds.

YAFU

929453396862899961208517029669410550548572802109949654166386689508902621344236629219803832677736646767250131<108>

30077909008622548044353253013906869320109768993839<50>
30901529644113559795933340314846783596945720882425778499229<59>

Number: 82229_131
N=929453396862899961208517029669410550548572802109949654166386689508902621344236629219803832677736646767250131
  ( 108 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=30077909008622548044353253013906869320109768993839 (pp50)
 r2=30901529644113559795933340314846783596945720882425778499229 (pp59)
Version: Msieve-1.40
Total time: 4.88 hours.
Scaled time: 10.00 units (timescale=2.051).
Factorization parameters were as follows:
name: 82229_131
n: 929453396862899961208517029669410550548572802109949654166386689508902621344236629219803832677736646767250131
m: 100000000000000000000000000
deg: 5
c5: 740
c0: 61
skew: 0.61
type: snfs
lss: 1
rlim: 1150000
alim: 1150000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1150000/1150000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [575000, 1225001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 182942 x 183173
Total sieving time: 4.62 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,132.000,5,0,0,0,0,0,0,0,0,1150000,1150000,26,26,47,47,2.3,2.3,50000
total time: 4.88 hours.
 --------- CPU info (if available) ----------

65520153732178198084405611056015320237084187314534380126218224948293496678012909480654707787121<95>

525286868194175456461425833469200997553121<42>
124732137236597124299479259344598093222594463617754001<54>

Number: 82229_132
N=65520153732178198084405611056015320237084187314534380126218224948293496678012909480654707787121
  ( 95 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=525286868194175456461425833469200997553121 (pp42)
 r2=124732137236597124299479259344598093222594463617754001 (pp54)
Version: Msieve v. 1.43
Total time: 5.18 hours.
Scaled time: 11.25 units (timescale=2.173).
Factorization parameters were as follows:
n: 65520153732178198084405611056015320237084187314534380126218224948293496678012909480654707787121 
m: 100000000000000000000000000 
deg: 5 
c5: 7400 
c0: 61 
skew: 0.38 
type: snfs 
lss: 1 
rlim: 1190000 
alim: 1190000 
lpbr: 26 
lpba: 26 
mfbr: 47 
mfba: 47 
rlambda: 2.3 
alambda: 2.3
qintsize: 100000 
Factor base limits: 1190000/1190000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [595000, 1195001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 169528 x 169755
Total sieving time: 5.06 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs ,133.000,5,0,0,0,0,0,0,0,0,1190000,1190000,26,26,47,47,2.3,2.3,
total time: 5.18 hours.
 --------- CPU info (if available) ----------

GGNFS + Msieve

8634067229047802396537038981646773309064603824658429299823818357893754302449041501860991517612330381415753672395486949724059878423<130>

73767698332311011634096296921<29>
5294399409827762808332632881330818085333095447<46>
22107136437040060994768073626652028750232701115579239529<56>

N=8634067229047802396537038981646773309064603824658429299823818357893754302449041501860991517612330381415753672395486949724059878423
  ( 130 digits)
SNFS difficulty: 134 digits.
Divisors found:
 r1=73767698332311011634096296921 (pp29)
 r2=5294399409827762808332632881330818085333095447 (pp46)
 r3=22107136437040060994768073626652028750232701115579239529 (pp56)
Version: Msieve-1.40
Total time: 3.37 hours.
Scaled time: 6.27 units (timescale=1.860).
Factorization parameters were as follows:
n: 8634067229047802396537038981646773309064603824658429299823818357893754302449041501860991517612330381415753672395486949724059878423
m: 100000000000000000000000000
deg: 5
c5: 74000
c0: 61
skew: 0.24
type: snfs
lss: 1
rlim: 1240000
alim: 1240000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1240000/1240000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [620000, 1295001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 206001 x 206226
Total sieving time: 3.24 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,134.000,5,0,0,0,0,0,0,0,0,1240000,1240000,26,26,47,47,2.3,2.3,75000
total time: 3.37 hours.
 --------- CPU info (if available) ----------

768188316211059238691580179947383649938882590775826668924284462566432433615473812862853334729122638803376446371<111>

4057458586062703612029335761127479<34>
15436543152310225598368474527791023<35>
12264886975559850192793987844965840654871963<44>

Number: 82229_134
N=768188316211059238691580179947383649938882590775826668924284462566432433615473812862853334729122638803376446371
  ( 111 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=4057458586062703612029335761127479 (pp34)
 r2=15436543152310225598368474527791023 (pp35)
 r3=12264886975559850192793987844965840654871963 (pp44)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 8.40 hours.
Scaled time: 3.92 units (timescale=0.467).
Factorization parameters were as follows:
name: 82229_134
n: 768188316211059238691580179947383649938882590775826668924284462566432433615473812862853334729122638803376446371
m: 200000000000000000000000000
deg: 5
c5: 23125
c0: 61
skew: 0.30
type: snfs
lss: 1
rlim: 1290000
alim: 1290000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1290000/1290000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [645000, 1320001)
Primes: RFBsize:99332, AFBsize:99039, largePrimes:3158143 encountered
Relations: rels:3110102, finalFF:266235
Max relations in full relation-set: 28
Initial matrix: 198437 x 266235 with sparse part having weight 21854311.
Pruned matrix : 178289 x 179345 with weight 11470177.
Total sieving time: 7.63 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.56 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,135,5,0,0,0,0,0,0,0,0,1290000,1290000,26,26,47,47,2.3,2.3,75000
total time: 8.40 hours.
 --------- CPU info (if available) ----------

Pentium 4  2.4GHz, Windows XP and Cygwin)

842757225267772148466215578229118391115493095071903248410427947943278216445021590201383<87>

850320701796123859458682106390536633<36>
991105148313600438455540385460772304998188865430751<51>

01/06/10 18:23:41 v1.14 @ ERIK-DATOR, starting SIQS on c87: 842757225267772148466215578229118391115493095071903248410427947943278216445021590201383
01/06/10 18:23:41 v1.14 @ ERIK-DATOR, random seeds: 0, 3229277640
01/06/10 18:23:41 v1.14 @ ERIK-DATOR, ==== sieve params ====
01/06/10 18:23:41 v1.14 @ ERIK-DATOR, n = 88 digits, 292 bits
01/06/10 18:23:41 v1.14 @ ERIK-DATOR, factor base: 59894 primes (max prime = 1573667)
01/06/10 18:23:41 v1.14 @ ERIK-DATOR, single large prime cutoff: 173103370 (110 * pmax)
01/06/10 18:23:41 v1.14 @ ERIK-DATOR, double large prime range from 43 to 50 bits
01/06/10 18:23:41 v1.14 @ ERIK-DATOR, double large prime cutoff: 674450282868296
01/06/10 18:23:41 v1.14 @ ERIK-DATOR, allocating 12 large prime slices of factor base
01/06/10 18:23:41 v1.14 @ ERIK-DATOR, buckets hold 1024 elements
01/06/10 18:23:41 v1.14 @ ERIK-DATOR, sieve interval: 18 blocks of size 32768
01/06/10 18:23:41 v1.14 @ ERIK-DATOR, polynomial A has ~ 11 factors
01/06/10 18:23:41 v1.14 @ ERIK-DATOR, using multiplier of 7
01/06/10 18:23:41 v1.14 @ ERIK-DATOR, using small prime variation correction of 21 bits
01/06/10 18:23:41 v1.14 @ ERIK-DATOR, using SSE2 for trial division and x128 sieve scanning
01/06/10 18:23:41 v1.14 @ ERIK-DATOR, trial factoring cutoff at 96 bits
01/06/10 18:23:41 v1.14 @ ERIK-DATOR, ==== sieving started ( 2 threads) ====
01/06/10 18:58:28 v1.14 @ ERIK-DATOR, trial division touched 12294479 sieve locations out of 39043364290560
01/06/10 18:58:28 v1.14 @ ERIK-DATOR, 60207 relations found: 20436 full + 39771 from 553314 partial, using 33097470 polys (507 A polys)
01/06/10 18:58:28 v1.14 @ ERIK-DATOR, on average, sieving found 0.02 rels/poly and 274.89 rels/sec
01/06/10 18:58:28 v1.14 @ ERIK-DATOR, trial division touched 12294479 sieve locations out of 39043364290560
01/06/10 18:58:28 v1.14 @ ERIK-DATOR, ==== post processing stage (msieve-1.38) ====
01/06/10 18:58:29 v1.14 @ ERIK-DATOR, begin with 573750 relations
01/06/10 18:58:29 v1.14 @ ERIK-DATOR, reduce to 122005 relations in 8 passes
01/06/10 18:58:43 v1.14 @ ERIK-DATOR, recovered 122005 relations
01/06/10 18:58:43 v1.14 @ ERIK-DATOR, recovered 97380 polynomials
01/06/10 18:58:43 v1.14 @ ERIK-DATOR, attempting to build 60207 cycles
01/06/10 18:58:43 v1.14 @ ERIK-DATOR, found 60207 cycles in 5 passes
01/06/10 18:58:43 v1.14 @ ERIK-DATOR, distribution of cycle lengths:
01/06/10 18:58:43 v1.14 @ ERIK-DATOR,    length 1 : 20436
01/06/10 18:58:43 v1.14 @ ERIK-DATOR,    length 2 : 16839
01/06/10 18:58:43 v1.14 @ ERIK-DATOR,    length 3 : 11244
01/06/10 18:58:43 v1.14 @ ERIK-DATOR,    length 4 : 6140
01/06/10 18:58:43 v1.14 @ ERIK-DATOR,    length 5 : 3097
01/06/10 18:58:43 v1.14 @ ERIK-DATOR,    length 6 : 1390
01/06/10 18:58:43 v1.14 @ ERIK-DATOR,    length 7 : 620
01/06/10 18:58:43 v1.14 @ ERIK-DATOR,    length 9+: 441
01/06/10 18:58:43 v1.14 @ ERIK-DATOR, largest cycle: 14 relations
01/06/10 18:58:43 v1.14 @ ERIK-DATOR, matrix is 59894 x 60207 (11.8 MB) with weight 2854388 (47.41/col)
01/06/10 18:58:43 v1.14 @ ERIK-DATOR, sparse part has weight 2854388 (47.41/col)
01/06/10 18:58:44 v1.14 @ ERIK-DATOR, filtering completed in 3 passes
01/06/10 18:58:44 v1.14 @ ERIK-DATOR, matrix is 52585 x 52649 (10.5 MB) with weight 2552546 (48.48/col)
01/06/10 18:58:44 v1.14 @ ERIK-DATOR, sparse part has weight 2552546 (48.48/col)
01/06/10 18:58:45 v1.14 @ ERIK-DATOR, saving the first 48 matrix rows for later
01/06/10 18:58:45 v1.14 @ ERIK-DATOR, matrix is 52537 x 52649 (8.9 MB) with weight 2185900 (41.52/col)
01/06/10 18:58:45 v1.14 @ ERIK-DATOR, sparse part has weight 2010911 (38.19/col)
01/06/10 18:58:45 v1.14 @ ERIK-DATOR, matrix includes 64 packed rows
01/06/10 18:58:45 v1.14 @ ERIK-DATOR, using block size 21059 for processor cache size 2048 kB
01/06/10 18:58:46 v1.14 @ ERIK-DATOR, commencing Lanczos iteration
01/06/10 18:58:46 v1.14 @ ERIK-DATOR, memory use: 8.0 MB
01/06/10 18:59:24 v1.14 @ ERIK-DATOR, lanczos halted after 833 iterations (dim = 52535)
01/06/10 18:59:24 v1.14 @ ERIK-DATOR, recovered 17 nontrivial dependencies
01/06/10 18:59:26 v1.14 @ ERIK-DATOR, prp36 = 850320701796123859458682106390536633
01/06/10 18:59:27 v1.14 @ ERIK-DATOR, prp51 = 991105148313600438455540385460772304998188865430751
01/06/10 18:59:27 v1.14 @ ERIK-DATOR, Lanczos elapsed time = 55.9820 seconds.
01/06/10 18:59:27 v1.14 @ ERIK-DATOR, Sqrt elapsed time = 3.5480 seconds.
01/06/10 18:59:27 v1.14 @ ERIK-DATOR, SIQS elapsed time = 2146.7470 seconds.

YAFU

922510769381477546975689198261879559852115129744510602789111131589259408822646534730068342310872401948141464368352195462087593<126>

393272022966326824531264897427936939608690387548592243471<57>
2345732001028880186193569612081078799907505960957335755961949462064583<70>

Number: 82229_138
N=922510769381477546975689198261879559852115129744510602789111131589259408822646534730068342310872401948141464368352195462087593
  ( 126 digits)
SNFS difficulty: 139 digits.
Divisors found:
 r1=393272022966326824531264897427936939608690387548592243471 (pp57)
 r2=2345732001028880186193569612081078799907505960957335755961949462064583 (pp70)
Version: Msieve-1.40
Total time: 6.00 hours.
Scaled time: 20.13 units (timescale=3.356).
Factorization parameters were as follows:
name: 82229_138
n: 922510769381477546975689198261879559852115129744510602789111131589259408822646534730068342310872401948141464368352195462087593
m: 1000000000000000000000000000
deg: 5
c5: 74000
c0: 61
skew: 0.24
type: snfs
lss: 1
rlim: 1500000
alim: 1500000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [750000, 1800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 246248 x 246496
Total sieving time: 5.80 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,139.000,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,48,48,2.3,2.3,75000
total time: 6.00 hours.
 --------- CPU info (if available) ----------

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

244538571179387655320210739874250568185531746234803002883146781803947808048430854465559167100571373789622687041161243<117>

268903685413698705335803697688053334250971456393227647447<57>
909390924870270212389431646476961814963913114366986796434269<60>

Number: 82229_139
N=244538571179387655320210739874250568185531746234803002883146781803947808048430854465559167100571373789622687041161243
  ( 117 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=268903685413698705335803697688053334250971456393227647447 (pp57)
 r2=909390924870270212389431646476961814963913114366986796434269 (pp60)
Version: Msieve-1.40
Total time: 5.29 hours.
Scaled time: 17.59 units (timescale=3.322).
Factorization parameters were as follows:
name: 82229_139
n: 244538571179387655320210739874250568185531746234803002883146781803947808048430854465559167100571373789622687041161243
m: 2000000000000000000000000000
deg: 5
c5: 23125
c0: 61
skew: 0.30
type: snfs
lss: 1
rlim: 1560000
alim: 1560000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1560000/1560000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [780000, 1680001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 256662 x 256910
Total sieving time: 5.10 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,140.000,5,0,0,0,0,0,0,0,0,1560000,1560000,26,26,48,48,2.3,2.3,100000
total time: 5.29 hours.
 --------- CPU info (if available) ----------

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

105111982069566867513448980778758877818117160230891480836919581956105264631007605242678519350050456801374171342094228143230059<126>

138365813388194921214268739999485931<36>
759667286995725489569349363880057661728543433984309394319325938667903899066235091809916289<90>

Number: 82229_144
N=105111982069566867513448980778758877818117160230891480836919581956105264631007605242678519350050456801374171342094228143230059
  ( 126 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=138365813388194921214268739999485931 (pp36)
 r2=759667286995725489569349363880057661728543433984309394319325938667903899066235091809916289 (pp90)
Version: Msieve-1.40
Total time: 10.98 hours.
Scaled time: 22.52 units (timescale=2.051).
Factorization parameters were as follows:
name: 82229_144
n: 105111982069566867513448980778758877818117160230891480836919581956105264631007605242678519350050456801374171342094228143230059
m: 20000000000000000000000000000
deg: 5
c5: 23125
c0: 61
skew: 0.30
type: snfs
lss: 1
rlim: 1890000
alim: 1890000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1890000/1890000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [945000, 2245001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 318556 x 318785
Total sieving time: 10.43 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.34 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,145.000,5,0,0,0,0,0,0,0,0,1890000,1890000,26,26,49,49,2.3,2.3,100000
total time: 10.98 hours.
 --------- CPU info (if available) ----------

58032882171518566153156661405384111981992816974128891429851061389967895461293838312807653942246957935705372972914137303343459<125>

11638507862518469588560300721230689632287<41>
4986281992248512052445605743357890520827837027950743835582519202556415425478329591357<85>

Number: 82229_145
N=58032882171518566153156661405384111981992816974128891429851061389967895461293838312807653942246957935705372972914137303343459
  ( 125 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=11638507862518469588560300721230689632287 (pp41)
 r2=4986281992248512052445605743357890520827837027950743835582519202556415425478329591357 (pp85)
Version: Msieve-1.40
Total time: 13.91 hours.
Scaled time: 28.44 units (timescale=2.045).
Factorization parameters were as follows:
name: 82229_145
n: 58032882171518566153156661405384111981992816974128891429851061389967895461293838312807653942246957935705372972914137303343459
m: 100000000000000000000000000000
deg: 5
c5: 74
c0: 61
skew: 0.96
type: snfs
lss: 1
rlim: 1960000
alim: 1960000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1960000/1960000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [980000, 2680001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 352111 x 352340
Total sieving time: 13.33 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.42 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,146.000,5,0,0,0,0,0,0,0,0,1960000,1960000,26,26,49,49,2.3,2.3,100000
total time: 13.91 hours.
 --------- CPU info (if available) ----------

235284503060743300912467701313516599401721241919841526237718331537075503634859398837510277654686315817938435664113<114>

15285115135031868663563677727191519<35>
15393047483266650909725303829490391528592330488710286215563521004931224980954927<80>

Number: 82229_146
N=235284503060743300912467701313516599401721241919841526237718331537075503634859398837510277654686315817938435664113
  ( 114 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=15285115135031868663563677727191519 (pp35)
 r2=15393047483266650909725303829490391528592330488710286215563521004931224980954927 (pp80)
Version: Msieve v. 1.43
Total time: 19.81 hours.
Scaled time: 41.77 units (timescale=2.109).
Factorization parameters were as follows:
n: 235284503060743300912467701313516599401721241919841526237718331537075503634859398837510277654686315817938435664113 
m: 100000000000000000000000000000 
deg: 5 
c5: 740 
c0: 61
skew: 0.61 
type: snfs 
lss: 1 
rlim: 2000000 
alim: 2000000 
lpbr: 26 
lpba: 26 
mfbr: 49 
mfba: 49 
rlambda: 2.3 
alambda: 2.3 
qintsize: 100000
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1000000, 1900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 318949 x 319175
Total sieving time: 19.47 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.28 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs ,147.000,5,0,0,0,0,0,0,0,0,2000000,2000000,26,26,49,49,2.3,2.3,
total time: 19.81 hours.
 --------- CPU info (if available) ----------

GGNFS + Msieve

164499683615640818361995833934920044852743241685593375317007932367325266548696364747544198406666942992046098250379413913801455308914773<135>

359375423939382003085342542851294115949019065457009145021002605667<66>
457737710087231678535107657848337878598286151785054391716728576121319<69>

N=164499683615640818361995833934920044852743241685593375317007932367325266548696364747544198406666942992046098250379413913801455308914773
  ( 135 digits)
SNFS difficulty: 149 digits.
Divisors found:
 r1=359375423939382003085342542851294115949019065457009145021002605667 (pp66)
 r2=457737710087231678535107657848337878598286151785054391716728576121319 (pp69)
Version: Msieve-1.40
Total time: 15.72 hours.
Scaled time: 14.68 units (timescale=0.934).
Factorization parameters were as follows:
n: 164499683615640818361995833934920044852743241685593375317007932367325266548696364747544198406666942992046098250379413913801455308914773
m: 100000000000000000000000000000
deg: 5
c5: 74000
c0: 61
skew: 0.24
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1100000, 3100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 428424 x 428657
Total sieving time: 15.06 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.36 hours.
Time per square root: 0.24 hours.
Prototype def-par.txt line would be:
snfs,149.000,5,0,0,0,0,0,0,0,0,2200000,2200000,26,26,49,49,2.3,2.3,100000
total time: 15.72 hours.
 --------- CPU info (if available) ----------

108073464555190225759623063200468104873998639264830873445110567025123286304040398196016670438705686234389844016067322288950091<126>

6389396731019416694573130656746545918967681429894297<52>
16914502120444679276888342279115445975072760206981608675730931356352137603<74>

Number: 82229_149
N=108073464555190225759623063200468104873998639264830873445110567025123286304040398196016670438705686234389844016067322288950091
  ( 126 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=6389396731019416694573130656746545918967681429894297 (pp52)
 r2=16914502120444679276888342279115445975072760206981608675730931356352137603 (pp74)
Version: Msieve v. 1.42
Total time: 0.71 hours.
Scaled time: 0.57 units (timescale=0.795).
Factorization parameters were as follows:
name: 82229_149
n: 108073464555190225759623063200468104873998639264830873445110567025123286304040398196016670438705686234389844016067322288950091
m: 200000000000000000000000000000
deg: 5
c5: 23125
c0: 61
skew: 0.30
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1150000, 1950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 363272 x 363505
Total sieving time: 0.00 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.42 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,150.000,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 0.71 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.60 BogoMIPS (lpj=1860802)
Calibrating delay using timer specific routine.. 3721.15 BogoMIPS (lpj=1860575)
Total of 2 processors activated (7442.75 BogoMIPS).

Total time: 14 hours

825764276046289710688531499685493520573156853820910715032581873406369114871171765699015261848495338006775341139315364368101621<126>

197935957828519560016482701316644219216278736938883<51>
4171876020433259762883063864950224175027277146864817123355751540268198683687<76>

Number: 82229_152
N=825764276046289710688531499685493520573156853820910715032581873406369114871171765699015261848495338006775341139315364368101621
  ( 126 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=197935957828519560016482701316644219216278736938883 (pp51)
 r2=4171876020433259762883063864950224175027277146864817123355751540268198683687 (pp76)
Version: Msieve-1.40
Total time: 24.59 hours.
Scaled time: 49.73 units (timescale=2.022).
Factorization parameters were as follows:
name: 82229_152
n: 825764276046289710688531499685493520573156853820910715032581873406369114871171765699015261848495338006775341139315364368101621
m: 1000000000000000000000000000000
deg: 5
c5: 7400
c0: 61
skew: 0.38
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1300000, 2300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 468518 x 468766
Total sieving time: 23.86 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.55 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,153.000,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 24.59 hours.
 --------- CPU info (if available) ----------

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

933121129960522658599635957809251537122714644329817836503022683938306091071096082706784268875325081730026430269578435356657131592157<132>

577309307595364985090157123790789703741070254251<48>
1616327881230949276363851496813791544360107076908992190408156743793736244284562112407<85>

Number: 82229_153
N=933121129960522658599635957809251537122714644329817836503022683938306091071096082706784268875325081730026430269578435356657131592157
  ( 132 digits)
SNFS difficulty: 154 digits.
Divisors found:
 r1=577309307595364985090157123790789703741070254251 (pp48)
 r2=1616327881230949276363851496813791544360107076908992190408156743793736244284562112407 (pp85)
Version: Msieve-1.40
Total time: 26.76 hours.
Scaled time: 54.10 units (timescale=2.022).
Factorization parameters were as follows:
name: 82229_153
n: 933121129960522658599635957809251537122714644329817836503022683938306091071096082706784268875325081730026430269578435356657131592157
m: 1000000000000000000000000000000
deg: 5
c5: 74000
c0: 61
skew: 0.24
type: snfs
lss: 1
rlim: 2700000
alim: 2700000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2700000/2700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1350000, 2450001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 542174 x 542422
Total sieving time: 25.83 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.73 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,154.000,5,0,0,0,0,0,0,0,0,2700000,2700000,27,27,50,50,2.4,2.4,100000
total time: 26.76 hours.
 --------- CPU info (if available) ----------

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

3275426364399059728985968972731735795553768857895521589311855040214147983333060178389291716003503999<100>

806746457347771742426228999691748425494695465561<48>
4060044310782874680411903731568586134482027285271959<52>

Number: 82229_155
N=3275426364399059728985968972731735795553768857895521589311855040214147983333060178389291716003503999
  ( 100 digits)
Divisors found:
 r1=806746457347771742426228999691748425494695465561 (pp48)
 r2=4060044310782874680411903731568586134482027285271959 (pp52)
Version: Msieve-1.40
Total time: 5.72 hours.
Scaled time: 11.54 units (timescale=2.016).
Factorization parameters were as follows:
name: 82229_155
n: 3275426364399059728985968972731735795553768857895521589311855040214147983333060178389291716003503999
skew: 15333.65
# norm 5.57e+13
c5: 9360
c4: -3403812
c3: -5278386127100
c2: 8954076345446217
c1: 672240459126448399060
c0: -2595697982583963596989725
# alpha -6.01
Y1: 20750073169
Y0: -12846903132145281322
# Murphy_E 3.80e-09
# M 3046863983720325637123055448430665022503279000338188863552615131021376942722746318154815259144677249
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 : 166463 x 166711
Polynomial selection time: 0.50 hours.
Total sieving time: 5.04 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
gnfs,99,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 5.72 hours.
 --------- CPU info (if available) ----------

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

234106631175481109503033655539196897291662049565668081185943412472906697083439159639590209690307478219057408894983402652873088947244452272786397<144>

36892877748459391136453404288867469198815076017401205567<56>
6345577939776117441025008898664938991576378096469733596811861656744435072075364217259491<88>

Number: 82229_156
N=234106631175481109503033655539196897291662049565668081185943412472906697083439159639590209690307478219057408894983402652873088947244452272786397
  ( 144 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=36892877748459391136453404288867469198815076017401205567 (pp56)
 r2=6345577939776117441025008898664938991576378096469733596811861656744435072075364217259491 (pp88)
Version: Msieve-1.40
Total time: 37.80 hours.
Scaled time: 57.15 units (timescale=1.512).
Factorization parameters were as follows:
name: 82229_156
n: 234106631175481109503033655539196897291662049565668081185943412472906697083439159639590209690307478219057408894983402652873088947244452272786397
m: 10000000000000000000000000000000
deg: 5
c5: 740
c0: 61
skew: 0.61
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1500000, 3000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 620736 x 620984
Total sieving time: 36.53 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.97 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
snfs,157.000,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 37.80 hours.
 --------- CPU info (if available) ----------

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

2994024313703031196225659290674275695788277133496572517897936706246407730964034173678076739210810360093102525261820870432727239104497385589208434197<148>

1036635259236066206747041644334067361649966967<46>
2888213850558619199204779365515972699538403861938660428442717490889004527922004611327893538367641780691<103>

Number: 82229_157
N=2994024313703031196225659290674275695788277133496572517897936706246407730964034173678076739210810360093102525261820870432727239104497385589208434197
  ( 148 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=1036635259236066206747041644334067361649966967 (pp46)
 r2=2888213850558619199204779365515972699538403861938660428442717490889004527922004611327893538367641780691 (pp103)
Version: Msieve-1.40
Total time: 37.94 hours.
Scaled time: 82.75 units (timescale=2.181).
Factorization parameters were as follows:
name: 82229_157
n: 2994024313703031196225659290674275695788277133496572517897936706246407730964034173678076739210810360093102525261820870432727239104497385589208434197
m: 10000000000000000000000000000000
deg: 5
c5: 7400
c0: 61
skew: 0.38
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3100000/3100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1550000, 2950001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 591628 x 591876
Total sieving time: 36.64 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.86 hours.
Time per square root: 0.33 hours.
Prototype def-par.txt line would be:
snfs,158.000,5,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000
total time: 37.94 hours.
 --------- CPU info (if available) ----------

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

22139261695972426018923386889141739742216490784436074700092544400155527241299222512025065915564377323576581231828409162491352943<128>

1907844787992786459991635189704524108378760204194429<52>
11604330622337887122785123626985149308587875103018952594868664658472878827867<77>

Number: 82229_158
N=22139261695972426018923386889141739742216490784436074700092544400155527241299222512025065915564377323576581231828409162491352943
  ( 128 digits)
SNFS difficulty: 159 digits.
Divisors found:
 r1=1907844787992786459991635189704524108378760204194429 (pp52)
 r2=11604330622337887122785123626985149308587875103018952594868664658472878827867 (pp77)
Version: Msieve-1.40
Total time: 44.76 hours.
Scaled time: 107.87 units (timescale=2.410).
Factorization parameters were as follows:
name: 82229_158
n: 22139261695972426018923386889141739742216490784436074700092544400155527241299222512025065915564377323576581231828409162491352943
m: 10000000000000000000000000000000
deg: 5
c5: 74000
c0: 61
skew: 0.24
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1600000, 3400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 580364 x 580612
Total sieving time: 43.77 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.80 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,159.000,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,50,50,2.4,2.4,100000
total time: 44.76 hours.
 --------- CPU info (if available) ----------

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

8521705894332365137519773303425935532927809390796803496403532226377453170136391523329673644055449899212045571493187107138051<124>

195005648311587175471983994378671737<36>
43699790073342239707069512943552382784135903153381120509984664853651407068029515931391323<89>

Number: 82229_162
N=8521705894332365137519773303425935532927809390796803496403532226377453170136391523329673644055449899212045571493187107138051
  ( 124 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=195005648311587175471983994378671737 (pp36)
 r2=43699790073342239707069512943552382784135903153381120509984664853651407068029515931391323 (pp89)
Version: Msieve-1.40
Total time: 52.66 hours.
Scaled time: 119.70 units (timescale=2.273).
Factorization parameters were as follows:
name: 82229_162
n: 8521705894332365137519773303425935532927809390796803496403532226377453170136391523329673644055449899212045571493187107138051
m: 100000000000000000000000000000000
deg: 5
c5: 7400
c0: 61
skew: 0.38
type: snfs
lss: 1
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1900000, 3900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 739101 x 739349
Total sieving time: 50.97 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.19 hours.
Time per square root: 0.39 hours.
Prototype def-par.txt line would be:
snfs,163.000,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
total time: 52.66 hours.
 --------- CPU info (if available) ----------

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

4521254810236005807012303518202012452524153788108305589434611403952994796040835029099906487057674459488374592665325223030101047743198947671327<142>

2950966949004318223128413622912556490328321176164233575621<58>
1532126549828528676858853358370651175606147270025143052910551740219744157252440586387<85>

Number: 82229_164
N=4521254810236005807012303518202012452524153788108305589434611403952994796040835029099906487057674459488374592665325223030101047743198947671327
  ( 142 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=2950966949004318223128413622912556490328321176164233575621 (pp58)
 r2=1532126549828528676858853358370651175606147270025143052910551740219744157252440586387 (pp85)
Version: Msieve-1.40
Total time: 49.08 hours.
Scaled time: 133.90 units (timescale=2.728).
Factorization parameters were as follows:
name: 82229_164
n: 4521254810236005807012303518202012452524153788108305589434611403952994796040835029099906487057674459488374592665325223030101047743198947671327
m: 200000000000000000000000000000000
deg: 5
c5: 23125
c0: 61
skew: 0.30
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4100000/4100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2050000, 4250001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 741010 x 741258
Total sieving time: 47.70 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.17 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,165.000,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000
total time: 49.08 hours.
 --------- CPU info (if available) ----------

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

432513931007758594046753636873080004202895678044148185439789104347041175411042806522331956861917414805439390954753<114>

319122607682136767445840456248044388031107<42>
1355322125715911879483600834499924273229590414476588822701207912228743979<73>

Number: 82229_166
N=432513931007758594046753636873080004202895678044148185439789104347041175411042806522331956861917414805439390954753
  ( 114 digits)
Divisors found:
 r1=319122607682136767445840456248044388031107 (pp42)
 r2=1355322125715911879483600834499924273229590414476588822701207912228743979 (pp73)
Version: Msieve-1.40
Total time: 32.05 hours.
Scaled time: 76.96 units (timescale=2.401).
Factorization parameters were as follows:
name: 82229_166
n: 432513931007758594046753636873080004202895678044148185439789104347041175411042806522331956861917414805439390954753
skew: 16245.95
# norm 2.10e+15
c5: 73980
c4: -9506129838
c3: -75883781554232
c2: 2427911590901655605
c1: 21010311736994531921696
c0: 1224291456405539563555789
# alpha -5.29
Y1: 716123554949
Y0: -5667330826225150962348
# Murphy_E 6.10e-10
# M 327983916104312428610199948520274912228066741936070214944839921751044193254209169565400654152033168936556719128795
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: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 439015 x 439263
Polynomial selection time: 2.34 hours.
Total sieving time: 29.03 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.44 hours.
Time per square root: 0.15 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: 32.05 hours.
 --------- CPU info (if available) ----------

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

799047822903638172640968486323458209442350032776859621809392269805599851302886730814489873138580151823753435820803125799407844265368740897<138>

83350072325475005387719862663237840155651015145429<50>
9586648224892040765052446033902581847341000008033336584919265695673385064516575216504093<88>

Number: 82229_167
N=799047822903638172640968486323458209442350032776859621809392269805599851302886730814489873138580151823753435820803125799407844265368740897
  ( 138 digits)
SNFS difficulty: 168 digits.
Divisors found:
 r1=83350072325475005387719862663237840155651015145429 (pp50)
 r2=9586648224892040765052446033902581847341000008033336584919265695673385064516575216504093 (pp88)
Version: Msieve-1.40
Total time: 63.42 hours.
Scaled time: 173.78 units (timescale=2.740).
Factorization parameters were as follows:
name: 82229_167
n: 799047822903638172640968486323458209442350032776859621809392269805599851302886730814489873138580151823753435820803125799407844265368740897
m: 1000000000000000000000000000000000
deg: 5
c5: 7400
c0: 61
skew: 0.38
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2300000, 5200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 923081 x 923329
Total sieving time: 61.33 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.76 hours.
Time per square root: 0.23 hours.
Prototype def-par.txt line would be:
snfs,168.000,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.4,2.4,100000
total time: 63.42 hours.
 --------- CPU info (if available) ----------

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

101508916323731138545953360768175582990397805212620027434842249657064471879286694101508916323731138545953360768175582990397805212620027434842249657064471879286694101509<168>

2963562936419205337643268578330198833152684779492137<52>
34252323470606524591921573285858219165216135534598184036189659993506763894282993614070761544724076556049056982028157<116>

Number: 113s
N=101508916323731138545953360768175582990397805212620027434842249657064471879286694101508916323731138545953360768175582990397805212620027434842249657064471879286694101509
  ( 168 digits)
SNFS difficulty: 169 digits.
Divisors found:
 r1=2963562936419205337643268578330198833152684779492137 (pp52)
 r2=34252323470606524591921573285858219165216135534598184036189659993506763894282993614070761544724076556049056982028157 (pp116)
Version: Msieve-1.40
Total time: 62.30 hours.
Scaled time: 119.06 units (timescale=1.911).
Factorization parameters were as follows:
n: 101508916323731138545953360768175582990397805212620027434842249657064471879286694101508916323731138545953360768175582990397805212620027434842249657064471879286694101509
m: 1000000000000000000000000000000000
deg: 5
c5: 74000
c0: 61
skew: 0.24
type: snfs
lss: 1
rlim: 4700000
alim: 4700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 4700000/4700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2350000, 5850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1009045 x 1009270
Total sieving time: 60.65 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.27 hours.
Time per square root: 0.29 hours.
Prototype def-par.txt line would be:
snfs,169.000,5,0,0,0,0,0,0,0,0,4700000,4700000,27,27,52,52,2.4,2.4,100000
total time: 62.30 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

205163341211301455052447374469136072118918516177258387414509265447657217561916651264088568841182352253597743941654585843142427<126>

1271083983332198121494593086838073166164743<43>
161408171215766129106114473918398384481725808287760698958734719042091040872511642189<84>

Number: c126
N = 205163341211301455052447374469136072118918516177258387414509265447657217561916651264088568841182352253597743941654585843142427 (126 digits)
SNFS difficulty: 171 digits.
Divisors found:
r1=1271083983332198121494593086838073166164743 (pp43)
r2=161408171215766129106114473918398384481725808287760698958734719042091040872511642189 (pp84)
Version: Msieve v. 1.44
Total time: 79.11 hours.
Factorization parameters were as follows:
n: 205163341211301455052447374469136072118918516177258387414509265447657217561916651264088568841182352253597743941654585843142427
m: 2000000000000000000000000000000000
deg: 5
c5: 23125
c0: 61
skew: 0.30
type: snfs
lss: 1
rlim: 4900000
alim: 4900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 27/27
Sieved rational special-q in [2450000, 5750000)
Total raw relations: 11073668
Relations: 1465770 relations
Pruned matrix : 904167 x 904399
Polynomial selection time: 0.00 hours.
Total sieving time: 76.14 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 2.48 hours.
time per square root: 0.28 hours.
Prototype def-par.txt line would be: snfs,171,5,0,0,0,0,0,0,0,0,4900000,4900000,27,27,52,52,2.4,2.4,100000
total time: 79.11 hours.
 --------- CPU info (if available) ----------

factmsieve.py + Msieve v.1.44

Windows Vista 32bit, Core2 Duo T8100 @2.1GHz

4809363078953358846211836409066019313375653296257191360846878824873573783367751171088363717074923044236822086980823939<118>

341056268164008648254993101498575206275477<42>
14101377185774550947233004881767227833667396586652565110730665035216616282807<77>

Number: 82229_171
N=4809363078953358846211836409066019313375653296257191360846878824873573783367751171088363717074923044236822086980823939
  ( 118 digits)
Divisors found:
 r1=341056268164008648254993101498575206275477 (pp42)
 r2=14101377185774550947233004881767227833667396586652565110730665035216616282807 (pp77)
Version: Msieve-1.40
Total time: 42.63 hours.
Scaled time: 100.13 units (timescale=2.349).
Factorization parameters were as follows:
name: 82229_171
n: 4809363078953358846211836409066019313375653296257191360846878824873573783367751171088363717074923044236822086980823939
skew: 37335.67
# norm 2.60e+16
c5: 28080
c4: 218547048
c3: -897977522796936
c2: 910913361106118870
c1: 75217055945529821548043
c0: 260012637245592743210558783
# alpha -5.82
Y1: 2349475507643
Y0: -44334116328834152787058
# Murphy_E 3.87e-10
# M 3874345239156203120842929658191517567093075344000801567008000917074918356682424472800712286450976960666114983578106156
type: gnfs
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [1900000, 3300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 565289 x 565537
Polynomial selection time: 3.95 hours.
Total sieving time: 36.99 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.76 hours.
Time per square root: 0.80 hours.
Prototype def-par.txt line would be:
gnfs,117,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3800000,3800000,27,27,53,53,2.5,2.5,100000
total time: 42.63 hours.
 --------- CPU info (if available) ----------

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

25560754353096824330521929735955671200829066779416892525805248865592015634237066356523944183746031616057185259502382108965879720801340051795925057904603989601593387<164>

18428522872489289301429846522372290153765221855763837<53>
1387021332635116781138865369055580232390098631757576603767088265754731642382415468689880731120724106487177342151<112>

Number: 9
N=25560754353096824330521929735955671200829066779416892525805248865592015634237066356523944183746031616057185259502382108965879720801340051795925057904603989601593387
  ( 164 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=18428522872489289301429846522372290153765221855763837 (pp53)
 r2=1387021332635116781138865369055580232390098631757576603767088265754731642382415468689880731120724106487177342151 (pp112)
Version: Msieve-1.40
Total time: 88.29 hours.
Scaled time: 153.53 units (timescale=1.739).
Factorization parameters were as follows:
n: 25560754353096824330521929735955671200829066779416892525805248865592015634237066356523944183746031616057185259502382108965879720801340051795925057904603989601593387
m: 20000000000000000000000000000000000
deg: 5
c5: 23125
c0: 61
skew: 0.30
type: snfs
lss: 1
rlim: 6000000
alim: 6000000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [3000000, 7400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1218175 x 1218400
Total sieving time: 85.86 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.99 hours.
Time per square root: 0.28 hours.
Prototype def-par.txt line would be:
snfs,175.000,5,0,0,0,0,0,0,0,0,6000000,6000000,28,28,52,52,2.5,2.5,100000
total time: 88.29 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

337297167601731902445819249467309773855467525552881335984853716269542553479035681983650112349584265287686451834807709391688660493125724191832567873876019862427424702851451<171>

62515058502546559708116318634737590343992641379<47>
37932592897241475492559008185970618894826185560774173687<56>
142237962396746912702647069659033931170459868410440074568496828217087<69>

Number: 1
N=337297167601731902445819249467309773855467525552881335984853716269542553479035681983650112349584265287686451834807709391688660493125724191832567873876019862427424702851451
  ( 171 digits)
SNFS difficulty: 177 digits.
Divisors found:
 r1=62515058502546559708116318634737590343992641379 (pp47)
 r2=37932592897241475492559008185970618894826185560774173687 (pp56)
 r3=142237962396746912702647069659033931170459868410440074568496828217087 (pp69)
Version: Msieve-1.40
Total time: 120.78 hours.
Scaled time: 210.04 units (timescale=1.739).
Factorization parameters were as follows:
n: 337297167601731902445819249467309773855467525552881335984853716269542553479035681983650112349584265287686451834807709391688660493125724191832567873876019862427424702851451
m: 100000000000000000000000000000000000
deg: 5
c5: 740
c0: 61
skew: 0.61
type: snfs
lss: 1
rlim: 6500000
alim: 6500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3250000, 9250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1534738 x 1534961
Total sieving time: 116.55 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 3.37 hours.
Time per square root: 0.67 hours.
Prototype def-par.txt line would be:
snfs,177.000,5,0,0,0,0,0,0,0,0,6500000,6500000,28,28,53,53,2.5,2.5,100000
total time: 120.78 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

15838632465764681524086256730109940214683602716546862882951104492024727901435853220976916534839966036359637946101563400576557999648400042380133985669389715473672067<164>

32986704488731017048713983173950954906055421<44>
480152010067435088569150478715915040082944653436131498814464375785839505436531476350825863055732658940274816006676761727<120>

N=15838632465764681524086256730109940214683602716546862882951104492024727901435853220976916534839966036359637946101563400576557999648400042380133985669389715473672067
  ( 164 digits)
SNFS difficulty: 179 digits.
Divisors found:
 r1=32986704488731017048713983173950954906055421 (pp44)
 r2=480152010067435088569150478715915040082944653436131498814464375785839505436531476350825863055732658940274816006676761727 (pp120)
Version: Msieve v. 1.47
Total time:
Scaled time: 19.02 units (timescale=1.351).
Factorization parameters were as follows:
n: 15838632465764681524086256730109940214683602716546862882951104492024727901435853220976916534839966036359637946101563400576557999648400042380133985669389715473672067
m: 100000000000000000000000000000000000
deg: 5
c5: 74000
c0: 61
skew: 0.24
type: snfs
lss: 1
rlim: 7000000
alim: 7000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 320000
Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3500000, 10540001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1454699 x 1454926
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,179.000,5,0,0,0,0,0,0,0,0,7000000,7000000,28,28,53,53,2.5,2.5,100000
total time:

369488424801441164635503913057176686019371878665393828974093918265465549673199970980179392621945285654746720428231092640684340496365756791434419474516558099483360313477974071<174>

51050495832703521339075341794172473211<38>
7237704918915649931333583426480118845310098801801064208907334518416140313702580852491659146187548953636216993178650315062007137071206261<136>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2139430795
Step 1 took 18415ms
Step 2 took 7109ms
********** Factor found in step 2: 51050495832703521339075341794172473211
Found probable prime factor of 38 digits: 51050495832703521339075341794172473211
Probable prime cofactor 7237704918915649931333583426480118845310098801801064208907334518416140313702580852491659146187548953636216993178650315062007137071206261 has 136 digits

GMP-ECM 6.2.3

2571429073334600029332601504815119633534934467929569537507323004482526564273831981130960652810918242642296892458088634955449026957698645828224756546051<151>

154757179217756893904353849772561802401567<42>

16615895212954058165660306095830093724814403896425489641628628859208481361340491593443515473862530866289489053<110>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3343207952
Step 1 took 23242ms
Step 2 took 9005ms
********** Factor found in step 2: 154757179217756893904353849772561802401567
Found probable prime factor of 42 digits: 154757179217756893904353849772561802401567
Composite cofactor 16615895212954058165660306095830093724814403896425489641628628859208481361340491593443515473862530866289489053 has 110 digits

GMP-ECM 6.4.2 [config GMP 5.0.4] [ECM]

Core i5, 3.3 GHz, OpenSUSE

16615895212954058165660306095830093724814403896425489641628628859208481361340491593443515473862530866289489053<110>

8030532659592034605011090227045008614608159062811<49>
2069090048853393904845709644233327104002561634162890562720423<61>

N = 16615895212954058165660306095830093724814403896425489641628628859208481361340491593443515473862530866289489053 (110 digits)
Divisors found:
r1=8030532659592034605011090227045008614608159062811 (pp49)
r2=2069090048853393904845709644233327104002561634162890562720423 (pp61)
Version: Msieve v. 1.48
Total time: 5.08 hours.
Factorization parameters were as follows:
n: 16615895212954058165660306095830093724814403896425489641628628859208481361340491593443515473862530866289489053
Y0: -1049202233857354391777
Y1: 255849190513
c0: 2504521367953330012275768
c1: -4638347444948604525976
c2: -1394005884055245268
c3: 113309900793845
c4: 2293453968
c5: 13068
skew: 19899.86  
type: gnfs
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 7410927
Relations: 683208 relations
Pruned matrix : 390533 x 390761
Polynomial selection time: 0.00 hours.
Total sieving time: 4.84 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.18 hours.
time per square root: 0.02 hours.
Prototype def-par.txt line would be: gnfs,109,5,61,2000,0.00015,0.3,250,15,50000,2400,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 5.08 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

999176354626591593416237966000999176354626591593416237966000999176354626591593416237966000999176354626591593416237966000999176354626591593416237966000999176354626591593416237966001<180>

3442580126808111033863955051765291151<37>

290240551511289646382280075939614371678047032505308837764991015276633580484612522877426600472495000688608329443594859163242300138850183322972351<144>

Factor=3442580126808111033863955051765291151  Method=ECM  B1=11000000  Sigma=2467750341

290240551511289646382280075939614371678047032505308837764991015276633580484612522877426600472495000688608329443594859163242300138850183322972351<144>

422147227590106759463893091918110491831528159167<48>
687533951527226813277498824659790602331337122675900634904913424270134207920090503113642330359553<96>

N=290240551511289646382280075939614371678047032505308837764991015276633580484612522877426600472495000688608329443594859163242300138850183322972351
  ( 144 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=422147227590106759463893091918110491831528159167 (pp48)
 r2=687533951527226813277498824659790602331337122675900634904913424270134207920090503113642330359553 (pp96)
Version: Msieve-1.40
Total time: 250.40 hours.
Scaled time: 493.04 units (timescale=1.969).
Factorization parameters were as follows:
n: 290240551511289646382280075939614371678047032505308837764991015276633580484612522877426600472495000688608329443594859163242300138850183322972351
m: 1000000000000000000000000000000000000
deg: 5
c5: 74000
c0: 61
skew: 0.24
# Murphy_E = 4.73e-11
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4200000, 8200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1725176 x 1725401
Total sieving time: 245.57 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 3.24 hours.
Time per square root: 1.39 hours.
Prototype def-par.txt line would be:
snfs,184.000,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,54,54,2.5,2.5,100000
total time: 250.40 hours.
 --------- CPU info (if available) ----------

6128846152480246390386266438979916586610038842322285593502973369353742189084728703519584261673716551174979201034905246749448245367626048339682867477<148>

73115356007242952092198392125084062900100622763<47>
83824335778015096338801269889685744374697977610616212049509235176592129433089004182213919477034428479<101>

N=6128846152480246390386266438979916586610038842322285593502973369353742189084728703519584261673716551174979201034905246749448245367626048339682867477
  ( 148 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=73115356007242952092198392125084062900100622763 (pp47)
 r2=83824335778015096338801269889685744374697977610616212049509235176592129433089004182213919477034428479 (pp101)
Version: Msieve-1.40
Total time: 231.87 hours.
Scaled time: 453.77 units (timescale=1.957).
Factorization parameters were as follows:
n: 6128846152480246390386266438979916586610038842322285593502973369353742189084728703519584261673716551174979201034905246749448245367626048339682867477
m: 10000000000000000000000000000000000000
deg: 5
c5: 37
c0: 305
skew: 1.52
# Murphy_E = 5.444e-11
type: snfs
lss: 1
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4500000, 8100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1483082 x 1483307
Total sieving time: 229.16 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 2.33 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,186.000,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,54,54,2.5,2.5,100000
total time: 231.87 hours.
 --------- CPU info (if available) ----------

3998375581919102255811063019312585685313332062655949187532723653688123436824398285497849404832051832786848912749532118182061972355829588920371442811517080068572726289518022876879<178>

110745429379087602719086514215002201247<39>

36104204068164710324340449207615235205053784071852990544087417969762376332455816767927851774087028540610468841772348912605052366114469781457<140>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=339917771
Step 1 took 5340ms
Step 2 took 3436ms
********** Factor found in step 2: 110745429379087602719086514215002201247
Found probable prime factor of 39 digits: 110745429379087602719086514215002201247
Composite cofactor has 140 digits

36104204068164710324340449207615235205053784071852990544087417969762376332455816767927851774087028540610468841772348912605052366114469781457<140>

2787092486174505229601396694094890204172504689737765601871<58>
12954074630555391105403652050787276739573831463798127093008969860067483585980339167<83>

N=36104204068164710324340449207615235205053784071852990544087417969762376332455816767927851774087028540610468841772348912605052366114469781457
  ( 140 digits)
SNFS difficulty: 188 digits.
Divisors found:
 r1=2787092486174505229601396694094890204172504689737765601871 (pp58)
 r2=12954074630555391105403652050787276739573831463798127093008969860067483585980339167 (pp83)
Version: Msieve-1.40
Total time: 333.36 hours.
Scaled time: 627.71 units (timescale=1.883).
Factorization parameters were as follows:
n: 36104204068164710324340449207615235205053784071852990544087417969762376332455816767927851774087028540610468841772348912605052366114469781457
m: 10000000000000000000000000000000000000
deg: 5
c5: 7400
c0: 61
skew: 0.38
# Murphy_E = 3.616e-11
type: snfs
lss: 1
rlim: 9800000
alim: 9800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 9800000/9800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4900000, 10100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1790460 x 1790685
Total sieving time: 329.35 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 3.51 hours.
Time per square root: 0.27 hours.
Prototype def-par.txt line would be:
snfs,188.000,5,0,0,0,0,0,0,0,0,9800000,9800000,28,28,54,54,2.5,2.5,100000
total time: 333.36 hours.
 --------- CPU info (if available) ----------

390974140706945094813786984786129062864433869744359212235133716045497517964772390083590465814134769628189891222172816560380816428077944134517763246415812423937565540471669<171>

4941752748973923982071400587593509169<37>

79116491772706481449199668751822205516824127008403176499013867994499887653979544062012269508206444963922239818525597830402930803162501<134>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1847879941
Step 1 took 27185ms
Step 2 took 10210ms
********** Factor found in step 2: 4941752748973923982071400587593509169
Found probable prime factor of 37 digits: 4941752748973923982071400587593509169

79116491772706481449199668751822205516824127008403176499013867994499887653979544062012269508206444963922239818525597830402930803162501<134>

642830615472361994353102612313264489844965945185261<51>
123075176988218654445516139775769476582145320606592080428806313473194403672132078841<84>

Mon Nov  5 23:16:49 2012  commencing relation filtering
Mon Nov  5 23:16:49 2012  estimated available RAM is 48192.2 MB
Mon Nov  5 23:16:49 2012  commencing duplicate removal, pass 1
Mon Nov  5 23:20:47 2012  found 1885967 hash collisions in 13982693 relations
Mon Nov  5 23:21:13 2012  added 71 free relations
Mon Nov  5 23:21:13 2012  commencing duplicate removal, pass 2
Mon Nov  5 23:21:20 2012  found 1525154 duplicates and 12457610 unique relations
Mon Nov  5 23:21:20 2012  memory use: 53.3 MB
Mon Nov  5 23:21:20 2012  reading ideals above 720000
Mon Nov  5 23:21:20 2012  commencing singleton removal, initial pass
Mon Nov  5 23:24:37 2012  memory use: 344.5 MB
Mon Nov  5 23:24:37 2012  reading all ideals from disk
Mon Nov  5 23:24:37 2012  memory use: 387.0 MB
Mon Nov  5 23:24:38 2012  commencing in-memory singleton removal
Mon Nov  5 23:24:39 2012  begin with 12457610 relations and 12284622 unique ideals
Mon Nov  5 23:24:48 2012  reduce to 7044982 relations and 6205454 ideals in 15 passes
Mon Nov  5 23:24:48 2012  max relations containing the same ideal: 125
Mon Nov  5 23:24:51 2012  removing 1688235 relations and 1335797 ideals in 352438 cliques
Mon Nov  5 23:24:53 2012  commencing in-memory singleton removal
Mon Nov  5 23:24:53 2012  begin with 5356747 relations and 6205454 unique ideals
Mon Nov  5 23:24:57 2012  reduce to 5096297 relations and 4594280 ideals in 9 passes
Mon Nov  5 23:24:57 2012  max relations containing the same ideal: 95
Mon Nov  5 23:24:59 2012  removing 1307017 relations and 954579 ideals in 352438 cliques
Mon Nov  5 23:25:00 2012  commencing in-memory singleton removal
Mon Nov  5 23:25:01 2012  begin with 3789280 relations and 4594280 unique ideals
Mon Nov  5 23:25:03 2012  reduce to 3556148 relations and 3391229 ideals in 9 passes
Mon Nov  5 23:25:03 2012  max relations containing the same ideal: 71
Mon Nov  5 23:25:04 2012  removing 194774 relations and 164508 ideals in 30266 cliques
Mon Nov  5 23:25:05 2012  commencing in-memory singleton removal
Mon Nov  5 23:25:05 2012  begin with 3361374 relations and 3391229 unique ideals
Mon Nov  5 23:25:06 2012  reduce to 3354538 relations and 3219831 ideals in 6 passes
Mon Nov  5 23:25:06 2012  max relations containing the same ideal: 68
Mon Nov  5 23:25:09 2012  relations with 0 large ideals: 479
Mon Nov  5 23:25:09 2012  relations with 1 large ideals: 1200
Mon Nov  5 23:25:09 2012  relations with 2 large ideals: 19751
Mon Nov  5 23:25:09 2012  relations with 3 large ideals: 122942
Mon Nov  5 23:25:09 2012  relations with 4 large ideals: 409487
Mon Nov  5 23:25:09 2012  relations with 5 large ideals: 797348
Mon Nov  5 23:25:09 2012  relations with 6 large ideals: 944047
Mon Nov  5 23:25:09 2012  relations with 7+ large ideals: 1059284
Mon Nov  5 23:25:09 2012  commencing 2-way merge
Mon Nov  5 23:25:11 2012  reduce to 2155059 relation sets and 2020352 unique ideals
Mon Nov  5 23:25:11 2012  commencing full merge
Mon Nov  5 23:25:45 2012  memory use: 241.6 MB
Mon Nov  5 23:25:45 2012  found 1096661 cycles, need 1078552
Mon Nov  5 23:25:47 2012  weight of 1078552 cycles is about 75589483 (70.08/cycle)
Mon Nov  5 23:25:47 2012  distribution of cycle lengths:
Mon Nov  5 23:25:47 2012  1 relations: 126050
Mon Nov  5 23:25:47 2012  2 relations: 122115
Mon Nov  5 23:25:47 2012  3 relations: 127253
Mon Nov  5 23:25:47 2012  4 relations: 119910
Mon Nov  5 23:25:47 2012  5 relations: 112385
Mon Nov  5 23:25:47 2012  6 relations: 96862
Mon Nov  5 23:25:47 2012  7 relations: 82353
Mon Nov  5 23:25:47 2012  8 relations: 69033
Mon Nov  5 23:25:47 2012  9 relations: 55759
Mon Nov  5 23:25:47 2012  10+ relations: 166832
Mon Nov  5 23:25:47 2012  heaviest cycle: 19 relations
Mon Nov  5 23:25:48 2012  commencing cycle optimization
Mon Nov  5 23:25:57 2012  start with 6019783 relations
Mon Nov  5 23:26:12 2012  pruned 165390 relations
Mon Nov  5 23:26:12 2012  memory use: 197.4 MB
Mon Nov  5 23:26:12 2012  distribution of cycle lengths:
Mon Nov  5 23:26:12 2012  1 relations: 126050
Mon Nov  5 23:26:12 2012  2 relations: 125268
Mon Nov  5 23:26:12 2012  3 relations: 131866
Mon Nov  5 23:26:12 2012  4 relations: 123562
Mon Nov  5 23:26:12 2012  5 relations: 115644
Mon Nov  5 23:26:12 2012  6 relations: 98930
Mon Nov  5 23:26:12 2012  7 relations: 83054
Mon Nov  5 23:26:12 2012  8 relations: 68831
Mon Nov  5 23:26:12 2012  9 relations: 54944
Mon Nov  5 23:26:12 2012  10+ relations: 150403
Mon Nov  5 23:26:12 2012  heaviest cycle: 19 relations
Mon Nov  5 23:26:14 2012  RelProcTime: 565
Mon Nov  5 23:26:14 2012
Mon Nov  5 23:26:14 2012  commencing linear algebra
Mon Nov  5 23:26:15 2012  read 1078552 cycles
Mon Nov  5 23:26:21 2012  cycles contain 3268901 unique relations
Mon Nov  5 23:27:20 2012  read 3268901 relations
Mon Nov  5 23:27:24 2012  using 20 quadratic characters above 134217498
Mon Nov  5 23:27:41 2012  building initial matrix
Mon Nov  5 23:28:54 2012  memory use: 433.1 MB
Mon Nov  5 23:28:56 2012  read 1078552 cycles
Mon Nov  5 23:28:56 2012  matrix is 1078374 x 1078552 (322.5 MB) with weight 102611224 (95.14/col)
Mon Nov  5 23:28:56 2012  sparse part has weight 72687649 (67.39/col)
Mon Nov  5 23:29:17 2012  filtering completed in 2 passes
Mon Nov  5 23:29:17 2012  matrix is 1077560 x 1077738 (322.5 MB) with weight 102578410 (95.18/col)
Mon Nov  5 23:29:17 2012  sparse part has weight 72678306 (67.44/col)
Mon Nov  5 23:29:20 2012  matrix starts at (0, 0)
Mon Nov  5 23:29:20 2012  matrix is 1077560 x 1077738 (322.5 MB) with weight 102578410 (95.18/col)
Mon Nov  5 23:29:20 2012  sparse part has weight 72678306 (67.44/col)
Mon Nov  5 23:29:20 2012  saving the first 48 matrix rows for later
Mon Nov  5 23:29:20 2012  matrix includes 64 packed rows
Mon Nov  5 23:29:20 2012  matrix is 1077512 x 1077738 (312.4 MB) with weight 81361686 (75.49/col)
Mon Nov  5 23:29:20 2012  sparse part has weight 71124301 (65.99/col)
Mon Nov  5 23:29:20 2012  using block size 65536 for processor cache size 12288 kB
Mon Nov  5 23:29:42 2012  commencing Lanczos iteration (16 threads)
Mon Nov  5 23:29:42 2012  memory use: 369.1 MB
Mon Nov  5 23:29:46 2012  linear algebra at 0.1%, ETA 0h47m
Mon Nov  5 23:29:48 2012  checkpointing every 1220000 dimensions
Tue Nov  6 00:26:01 2012  lanczos halted after 17042 iterations (dim = 1077511)
Tue Nov  6 00:26:05 2012  recovered 30 nontrivial dependencies
Tue Nov  6 00:26:05 2012  BLanczosTime: 3591
Tue Nov  6 00:26:05 2012
Tue Nov  6 00:26:05 2012  commencing square root phase
Tue Nov  6 00:26:05 2012  reading relations for dependency 1
Tue Nov  6 00:26:05 2012  read 538009 cycles
Tue Nov  6 00:26:08 2012  cycles contain 1632644 unique relations
Tue Nov  6 00:26:34 2012  read 1632644 relations
Tue Nov  6 00:26:41 2012  multiplying 1632644 relations
Tue Nov  6 00:28:31 2012  multiply complete, coefficients have about 71.24 million bits
Tue Nov  6 00:28:31 2012  initial square root is modulo 130021
Tue Nov  6 00:31:26 2012  GCD is 1, no factor found
Tue Nov  6 00:31:26 2012  reading relations for dependency 2
Tue Nov  6 00:31:26 2012  read 538670 cycles
Tue Nov  6 00:31:28 2012  cycles contain 1633468 unique relations
Tue Nov  6 00:31:51 2012  read 1633468 relations
Tue Nov  6 00:31:58 2012  multiplying 1633468 relations
Tue Nov  6 00:34:02 2012  multiply complete, coefficients have about 71.28 million bits
Tue Nov  6 00:34:03 2012  initial square root is modulo 130729
Tue Nov  6 00:36:28 2012  sqrtTime: 623

prp51 = 642830615472361994353102612313264489844965945185261
prp84 = 123075176988218654445516139775769476582145320606592080428806313473194403672132078841
NFS elapsed time = 76507.4679 seconds.

4046170081306147444624881758881069938596635117475627293057537632115654850756469771282034458059259988298913548655195227706423021614203150544866011624537287644418199016890026190749580346549<187>

3621237457403190741186482152085125067798657<43>
6395279381638236458283151379527163947078002709<46>
3685282567163983611865499700893355932282695100141<49>
47408565664698889468202069470119222508978501346053<50>

Number: n
N=4046170081306147444624881758881069938596635117475627293057537632115654850756469771282034458059259988298913548655195227706423021614203150544866011624537287644418199016890026190749580346549
  ( 187 digits)
SNFS difficulty: 191 digits.
Divisors found:

Thu Apr  8 01:26:06 2010  prp43 factor: 3621237457403190741186482152085125067798657
Thu Apr  8 01:26:06 2010  prp46 factor: 6395279381638236458283151379527163947078002709
Thu Apr  8 01:26:06 2010  prp49 factor: 3685282567163983611865499700893355932282695100141
Thu Apr  8 01:26:06 2010  prp50 factor: 47408565664698889468202069470119222508978501346053
Thu Apr  8 01:26:06 2010  elapsed time 03:16:13 (Msieve 1.42 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.076).
Factorization parameters were as follows:
name: KA_8_2_189_9
n: 4046170081306147444624881758881069938596635117475627293057537632115654850756469771282034458059259988298913548655195227706423021614203150544866011624537287644418199016890026190749580346549
m: 100000000000000000000000000000000000000
deg: 5
c5: 74
c0: 61
skew: 0.96
type: snfs
lss: 1
rlim: 11000000
alim: 11000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 11000000/11000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 12400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4888994 hash collisions in 33457345 relations
Msieve: matrix is 1522358 x 1522584 (427.6 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,191,5,0,0,0,0,0,0,0,0,11000000,11000000,28,28,56,56,2.5,2.5,100000
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: 6060216k/7077888k available (3972k kernel code, 787972k absent, 229700k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.79 BogoMIPS (lpj=2798398)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
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=2797551)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44762.55 BogoMIPS).

3797118755054587817771686681244807546448992188833714617747424311337090542522996933183945122008971332355911431697<112>

25286104213455281469465971510906643929202629049100943<53>
150166222641527318586444911508350902333311017811377248560479<60>

Number: 112z
N=3797118755054587817771686681244807546448992188833714617747424311337090542522996933183945122008971332355911431697
  ( 112 digits)
Divisors found:
 r1=25286104213455281469465971510906643929202629049100943 (pp53)
 r2=150166222641527318586444911508350902333311017811377248560479 (pp60)
Version: Msieve-1.40
Total time: 15.74 hours.
Scaled time: 29.64 units (timescale=1.883).
Factorization parameters were as follows:
name: 112z
n: 3797118755054587817771686681244807546448992188833714617747424311337090542522996933183945122008971332355911431697
skew: 17581.74
# norm 4.87e+015
c5: 136080
c4: 19522173360
c3: -187219908584816
c2: -6066022949113981460
c1: 59136499976568965151903
c0: -1627185533590804043712492
# alpha -6.81
Y1: 663652010687
Y0: -1945932297286112338559
# Murphy_E 8.31e-010
# M 1173118940697275647606864967565676166438946442449791214276881128429773607391300738842336793809563396321655940480
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, 2550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 369448 x 369673
Total sieving time: 15.37 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.17 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
gnfs,111,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 15.74 hours.
 --------- CPU info (if available) ----------

4179085838236387468079369857210218819601983324256573794901239329694428088753590232340707013337134907981491268976888272847931490602744925718492059517526212517056394568016550712104001<181>

7820795519922540509490240273182080450565451563619044814016176872578137746423<76>
534355594337004016206238062880125519595659997450251479609028750031937990519336880899263053225777597252487<105>

Number: n
N=4179085838236387468079369857210218819601983324256573794901239329694428088753590232340707013337134907981491268976888272847931490602744925718492059517526212517056394568016550712104001  ( 181 digits)
SNFS difficulty: 197 digits.
Divisors found:

Sun Feb 28 09:14:09 2021  p76 factor: 7820795519922540509490240273182080450565451563619044814016176872578137746423
Sun Feb 28 09:14:09 2021  p105 factor: 534355594337004016206238062880125519595659997450251479609028750031937990519336880899263053225777597252487
Sun Feb 28 09:14:09 2021  elapsed time 01:42:21 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.326).
Factorization parameters were as follows:
#
# N = 74x10^196+61 = 82(195)9
#
n: 4179085838236387468079369857210218819601983324256573794901239329694428088753590232340707013337134907981491268976888272847931490602744925718492059517526212517056394568016550712104001
m: 1000000000000000000000000000000000000000
deg: 5
c5: 740
c0: 61
skew: 0.61
# Murphy_E = 1.444e-11
type: snfs
lss: 1
rlim: 13900000
alim: 13900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13900000/13900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 26950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3740091 hash collisions in 26887758 relations (24493277 unique)
Msieve: matrix is 2102067 x 2102292 (731.9 MB)

Sieving start time: 2021/02/27 23:51:21
Sieving end time  : 2021/02/28 07:28:53

Total sieving time: 7hrs 37min 32secs.

Total relation processing time: 1hrs 24min 52sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 9min 34sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13900000,13900000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116873] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241916K/16727236K available (14339K kernel code, 2400K rwdata, 4964K rodata, 2732K init, 4968K bss, 485320K reserved, 0K cma-reserved)
[    0.153556] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.16 BogoMIPS (lpj=12798332)
[    0.152039] smpboot: Total of 16 processors activated (102386.65 BogoMIPS)

9153643374523759598034732139454459933059667103541996548635518267164619169806368576682814581912896812773416853<109>

476328262020391513079144130514216408137573328404846431<54>
19217090616663627747080726084974468641977981757992890763<56>

Number: 82229_197
N=9153643374523759598034732139454459933059667103541996548635518267164619169806368576682814581912896812773416853
  ( 109 digits)
Divisors found:
 r1=476328262020391513079144130514216408137573328404846431
 r2=19217090616663627747080726084974468641977981757992890763
Version: 
Total time: 7.68 hours.
Scaled time: 18.29 units (timescale=2.382).
Factorization parameters were as follows:
name: 82229_197
n: 9153643374523759598034732139454459933059667103541996548635518267164619169806368576682814581912896812773416853
skew: 6091.64
# norm 5.36e+14
c5: 221400
c4: -3958740822
c3: -63016368660651
c2: 95645341839968045
c1: 601815049366462163153
c0: 19007026301956777704620
# alpha -5.13
Y1: 255367219613
Y0: -528790962891462456417
# Murphy_E 1.13e-09
# M 4545157282714620472157113479482589863448447421065924421596850517760260805648149318427504001371030228510190763
type: gnfs
rlim: 2100000
alim: 2100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved algebraic special-q in [1050000, 2250001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 8022554
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 414538 x 414786
Polynomial selection time: 0.58 hours.
Total sieving time: 5.79 hours.
Total relation processing time: 0.86 hours.
Matrix solve time: 0.37 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
gnfs,108,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2100000,2100000,27,27,51,51,2.6,2.6,50000
total time: 7.68 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046640k/8912896k available (2551k kernel code, 339524k reserved, 1290k data, 208k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5345.55 BogoMIPS (lpj=2672775)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672343)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672343)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

2740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740743<199>

45177315295276235327233516956367458715840788087048997058591829921283016644327573<80>
60666303936553619955888502152966745346543348424726601855455386095265283215113430373295104338945746294231865217126629291<119>

Number: ss199
N=2740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740743
  ( 199 digits)
SNFS difficulty: 199 digits.
Divisors found:
 r1=45177315295276235327233516956367458715840788087048997058591829921283016644327573 (pp80)
 r2=60666303936553619955888502152966745346543348424726601855455386095265283215113430373295104338945746294231865217126629291 (pp119)
Version: Msieve-1.40
Total time: 904.00 hours.
Scaled time: 1732.07 units (timescale=1.916).
Factorization parameters were as follows:
n: 2740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740743
m: 1000000000000000000000000000000000000000
deg: 5
c5: 74000
c0: 61
skew: 0.24
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 600000Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [7500000, 21300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2845392 x 2845618
Total sieving time: 890.88 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 11.86 hours.
Time per square root: 0.97 hours.
Prototype def-par.txt line would be:
snfs,199.000,5,0,0,0,0,0,0,0,0,15000000,15000000,28,28,55,55,2.5,2.5,100000
total time: 904.00 hours.
 --------- CPU info (if available) ----------

10706964699476188537120463232672473926463801750469135069060895856307378735998680011732156667844841427961335198218974959217343164483912282840867224569014933170275396902079195227339<179>

460583032584960198883242442674333092048693475909669249544853910029431973730747376592999<87>
23246546099157826351728557243841478376567037070722724426606138687399989847349463079517745661<92>

Number: n
N=10706964699476188537120463232672473926463801750469135069060895856307378735998680011732156667844841427961335198218974959217343164483912282840867224569014933170275396902079195227339
  ( 179 digits)
SNFS difficulty: 201 digits.
Divisors found:

Sat Sep 29 10:22:45 2012  prp87 factor: 460583032584960198883242442674333092048693475909669249544853910029431973730747376592999
Sat Sep 29 10:22:45 2012  prp92 factor: 23246546099157826351728557243841478376567037070722724426606138687399989847349463079517745661
Sat Sep 29 10:22:45 2012  elapsed time 08:01:19 (Msieve 1.44 - dependency 2)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.093).
Factorization parameters were as follows:
name: KA_82229_200
n: 10706964699476188537120463232672473926463801750469135069060895856307378735998680011732156667844841427961335198218974959217343164483912282840867224569014933170275396902079195227339
m: 10000000000000000000000000000000000000000
#  c179, diff: 201.87
skew: 0.962
deg: 5
c5: 74
c0: 61
# Murphy_E = 1.08e-11
type: snfs
lss: 1
rlim: 16200000
alim: 16200000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 16200000/16200000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 30900000)
Primes: RFBsize:1043113, AFBsize:1044391,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 10439226 hash collisions in 63031264 relations (54600111 unique)
Msieve: matrix is 2259902 x 2260127 (636.2 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,16200000,16200000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.42 BogoMIPS (lpj=2830711)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830461)
Total of 4 processors activated (22644.16 BogoMIPS).

38038732043450930129989723029500498106658352140055132382115107496796217350763217010186513880665647523705093978236938274712462795659109752854909518735663648462397165352865662965476963325191415179<194>

221490085776547565098308448087385426897079893587070839670863150135454369405484743<81>
171740111572428014819304092735104459438729527789416209763278079449261065677905842306111277720810381699970701946653<114>

Number: n
N=38038732043450930129989723029500498106658352140055132382115107496796217350763217010186513880665647523705093978236938274712462795659109752854909518735663648462397165352865662965476963325191415179
  ( 194 digits)
SNFS difficulty: 202 digits.
Divisors found:

Thu May  6 17:07:01 2021  p81 factor: 221490085776547565098308448087385426897079893587070839670863150135454369405484743
Thu May  6 17:07:01 2021  p114 factor: 171740111572428014819304092735104459438729527789416209763278079449261065677905842306111277720810381699970701946653
Thu May  6 17:07:01 2021  elapsed time 02:14:20 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 74x10^201+61 = 82(200)9
#
n: 38038732043450930129989723029500498106658352140055132382115107496796217350763217010186513880665647523705093978236938274712462795659109752854909518735663648462397165352865662965476963325191415179
m: 10000000000000000000000000000000000000000
deg: 5
c5: 740
c0: 61
skew: 0.61
# Murphy_E = 8.929e-12
type: snfs
lss: 1
rlim: 16800000
alim: 16800000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16800000/16800000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7587701 hash collisions in 52673245 relations (46922792 unique)
Msieve: matrix is 2435624 x 2435849 (848.5 MB)

Sieving start time : 2021/05/06 03:10:24
Sieving end time  : 2021/05/06 14:51:36

Total sieving time: 11hrs 41min 12secs.

Total relation processing time: 1hrs 56min 8sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 36sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16800000,16800000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118393] 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)

18108574529837817159357295539332959791063210856245538478110481876392395888047399655929127386532409350155143477412598490900443954707537349260404531252567<152>

1654992211029916583758569983810524576033548070774417903<55>
10941788371661693718429186856961828520717108992739235791182611662178983311214120558426706923166489<98>

FACTORS
1654992211029916583758569983810524576033548070774417903
10941788371661693718429186856961828520717108992739235791182611662178983311214120558426706923166489
POLYNOMIAL
n: 18108574529837817159357295539332959791063210856245538478110481876392395888047399655929127386532409350155143477412598490900443954707537349260404531252567
skew: 835919.793
c0: 208454236108055642022901897575544800
c1: 330390712351549182209834138304
c2: -1241292779069063926804870
c3: -1107283541449185259
c4: 1931675723040
c5: 245700
Y0: -202811431415893349964025810865
Y1: 1918358859513765189581
# MurphyE (Bf=2.147e+09,Bg=2.147e+09,area=5.234e+14) = 4.900e-07
# f(x) = 245700*x^5+1931675723040*x^4-1107283541449185259*x^3-1241292779069063926804870*x^2+330390712351549182209834138304*x+208454236108055642022901897575544800
# g(x) = 1918358859513765189581*x-202811431415893349964025810865

cado-nfs

2x Xeon E5-2698v4, 256GB DDR4, Ubuntu Server 24.04

14162914141429910357508672906655617947063608883212069527223600277375898643931816062569532844800612028963167235621646897288195562410759077629363383436071242373877321447703646187869498973181091127<194>

563171119505867001677202920704493325808645897387724795733851<60>
3734000904966130872224886742179072763482416965785583575506388613<64>
6735003538834618841687808211938612272377738844961303342352181094717329<70>

Number: n
N=14162914141429910357508672906655617947063608883212069527223600277375898643931816062569532844800612028963167235621646897288195562410759077629363383436071242373877321447703646187869498973181091127
  ( 194 digits)
SNFS difficulty: 204 digits.
Divisors found:

Sat May  8 04:36:01 2021  found factor: 6735003538834618841687808211938612272377738844961303342352181094717329
Sat May  8 04:40:33 2021  p60 factor: 563171119505867001677202920704493325808645897387724795733851
Sat May  8 04:40:33 2021  p64 factor: 3734000904966130872224886742179072763482416965785583575506388613
Sat May  8 04:40:33 2021  p70 factor: 6735003538834618841687808211938612272377738844961303342352181094717329
Sat May  8 04:40:33 2021  elapsed time 02:36:42 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 74x10^203+61 = 82(202)9
#
n: 14162914141429910357508672906655617947063608883212069527223600277375898643931816062569532844800612028963167235621646897288195562410759077629363383436071242373877321447703646187869498973181091127
m: 10000000000000000000000000000000000000000
deg: 5
c5: 74000
c0: 61
skew: 0.24
# Murphy_E = 7.072e-12
type: snfs
lss: 1
rlim: 18200000
alim: 18200000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18200000/18200000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 43500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8720119 hash collisions in 56062908 relations (49166012 unique)
Msieve: matrix is 2577872 x 2578097 (896.2 MB)

Sieving start time : 2021/05/07 11:33:33
Sieving end time  : 2021/05/08 02:02:37

Total sieving time: 14hrs 29min 4secs.

Total relation processing time: 2hrs 12min 40sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 9min 5sec.

Prototype def-par.txt line would be:
snfs,204,5,0,0,0,0,0,0,0,0,18200000,18200000,29,29,56,56,2.6,2.6,100000
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)

33632338456947402613132710071562798870480637476432934185649508402017158582793250244186684384546158634741578428363550853209250002033847494524859820186065913111398985748660171716721357848399325662524117<200>

13179297891664370865031646130575119342669129613<47>
2551906689825954261688445825490344934259508509195700145112376555400217282644122528760030091866445356730470596795675627227071226928493329669630044112495209<154>

Number: n
N=33632338456947402613132710071562798870480637476432934185649508402017158582793250244186684384546158634741578428363550853209250002033847494524859820186065913111398985748660171716721357848399325662524117
  ( 200 digits)
SNFS difficulty: 206 digits.
Divisors found:

Sun Jul 30 15:08:57 2017  prp47 factor: 13179297891664370865031646130575119342669129613
Sun Jul 30 15:08:57 2017  prp154 factor: 2551906689825954261688445825490344934259508509195700145112376555400217282644122528760030091866445356730470596795675627227071226928493329669630044112495209
Sun Jul 30 15:08:57 2017  elapsed time 10:05:28 (Msieve 1.44 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=4.243).
Factorization parameters were as follows:
#
# N = 74*10^205+61 = 82(204)9
#

n: 33632338456947402613132710071562798870480637476432934185649508402017158582793250244186684384546158634741578428363550853209250002033847494524859820186065913111398985748660171716721357848399325662524117
m: 100000000000000000000000000000000000000000
deg: 5
c5: 74
c0: 61
skew: 0.96
# Murphy_E = 6.657e-12
type: snfs
lss: 1
rlim: 19600000
alim: 19600000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19600000/19600000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 33000000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 7528282 hash collisions in 49413138 relations (43430674 unique)
Msieve: matrix is 3288694 x 3288919 (933.1 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 9hrs 45min 49sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 28sec.

Prototype def-par.txt line would be:snfs,206,5,0,0,0,0,0,0,0,0,19600000,19600000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.050273] smpboot: CPU0: Intel(R) Core(TM) i7-6700K CPU @ 4.00GHz (family: 0x6, model: 0x5e, stepping: 0x3)
[    0.000000] Memory: 16339156K/16705272K available (7836K kernel code, 1309K rwdata, 3448K rodata, 1528K init, 1544K bss, 366116K reserved, 0K cma-reserved)
[    0.000018] Calibrating delay loop (skipped), value calculated using timer frequency.. 8016.72 BogoMIPS (lpj=4008360)
[    0.074633] smpboot: Total of 8 processors activated (64133.76 BogoMIPS)

517498431772701655145034625689775694824866147674443921424996733711109902037425763801319817875186619565824890656793891078045696607749164318818851204849100221621348453035826909739801511733936496060463<198>

109980061714786542146533885037085862127812446022314558541384279343743687<72>
4705384082387046843193295709008438761016664937248823755600466043328278848818558124366791377341252878988691274735281603460335449<127>

Number: n
N=517498431772701655145034625689775694824866147674443921424996733711109902037425763801319817875186619565824890656793891078045696607749164318818851204849100221621348453035826909739801511733936496060463
  ( 198 digits)
SNFS difficulty: 209 digits.
Divisors found:

Mon May 31 21:23:40 2021  p72 factor: 109980061714786542146533885037085862127812446022314558541384279343743687
Mon May 31 21:23:40 2021  p127 factor: 4705384082387046843193295709008438761016664937248823755600466043328278848818558124366791377341252878988691274735281603460335449
Mon May 31 21:23:40 2021  elapsed time 04:49:07 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 74x10^208+61 = 82(207)9
#
n: 517498431772701655145034625689775694824866147674443921424996733711109902037425763801319817875186619565824890656793891078045696607749164318818851204849100221621348453035826909739801511733936496060463
m: 100000000000000000000000000000000000000000
deg: 5
c5: 74000
c0: 61
skew: 0.24
# Murphy_E = 4.353e-12
type: snfs
lss: 1
rlim: 22000000
alim: 22000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 22000000/22000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 52600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8834859 hash collisions in 56012236 relations (48931443 unique)
Msieve: matrix is 3317684 x 3317909 (1158.3 MB)

Sieving start time : 2021/05/30 21:12:35
Sieving end time  : 2021/05/31 16:33:20

Total sieving time: 19hrs 20min 45secs.

Total relation processing time: 4hrs 6min 17sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 23min 34sec.

Prototype def-par.txt line would be:
snfs,209,5,0,0,0,0,0,0,0,0,22000000,22000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117662] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241088K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486148K reserved, 0K cma-reserved)
[    0.152608] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.07 BogoMIPS (lpj=12798140)
[    0.150211] smpboot: Total of 16 processors activated (102385.12 BogoMIPS)

12863110203175963596541262375394358811254977125475487352833417418826028201494462360335108275553249512888728102093996075156310640548628157563474024144913169168569867676098815070070758769324559<191>

3293835474490304808318711039513404379010241<43>
422611459711019265154833460957710993393533110828791833<54>
9240656325641221172804235256502216597330459366213036607264814123598534997381599602383208888103<94>

#
# N = 74x10^209+61 = 82(208)9
#
n: 12863110203175963596541262375394358811254977125475487352833417418826028201494462360335108275553249512888728102093996075156310640548628157563474024144913169168569867676098815070070758769324559
m: 1000000000000000000000000000000000000000000
deg: 5
c5: 37
c0: 305
skew: 1.52
# Murphy_E = 4.948e-12
type: snfs
lss: 1
rlim: 24000000
alim: 24000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 12863110203175963596541262375394358811254977125475487352833417418826028201494462360335108275553249512888728102093996075156310640548628157563474024144913169168569867676098815070070758769324559 (191 digits)
Using B1=50970000, B2=288592384096, polynomial Dickson(12), sigma=1:3970573319
Step 1 took 140349ms
Step 2 took 46616ms
********** Factor found in step 2: 3293835474490304808318711039513404379010241
Found prime factor of 43 digits: 3293835474490304808318711039513404379010241
Composite cofactor 3905207258467100260586273515539141475945760622286748328220932287073708855640929376713574175417931470559425220334509602026723756725066453122777262799 has 148 digits



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 3905207258467100260586273515539141475945760622286748328220932287073708855640929376713574175417931470559425220334509602026723756725066453122777262799 (148 digits)
Using B1=103140000, B2=776271667090, polynomial Dickson(30), sigma=1:3746947750
Step 1 took 193869ms
Step 2 took 79623ms
********** Factor found in step 2: 422611459711019265154833460957710993393533110828791833
Found prime factor of 54 digits: 422611459711019265154833460957710993393533110828791833
Prime cofactor 9240656325641221172804235256502216597330459366213036607264814123598534997381599602383208888103 has 94 digits

22066073507551846639747428711546919904255014883725317245860006021064125518227474833406121372310059914978334815957048930274775980058332494821044951870152077534580022910474621532834056531780559<191>

962203226175292242423898014409833246411855492836184448585936716434516760485469830982069038306179563644189052575899717169053720471193378291162692430124851307789139562918188478538759721253226032267<195>

2557916372580663801723824390701667569286601191727723190721357849705403834618588025679209126884196364705457682628806915045702326217599732961361680497353983364812273417266573116005372123<184>

161521472696699062291340020223600260521205011069435513160994535804995789037093416005221431657622312510791567449845673227372888594252855862015468958194081047077991826716587618430083106129191962167167526538679<207>

326340832123646895643854626263229<33>
191382427899478991117016667289744191<36>

2586168331471597729276858978627700429022636622878111289171761071952216190398568211037785730536574224793816486948291402418397204046356534461<139>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1103997946
Step 1 took 12153ms
Step 2 took 2980ms
********** Factor found in step 2: 191382427899478991117016667289744191
Found probable prime factor of 36 digits: 191382427899478991117016667289744191
Composite cofactor 843972325304264673140431201859612273645129188201428340882669728084922477326946713190881090830685214240770502664838057943905351074169625467677257998967999376961650795634569 has 171 digits

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2768122652
Step 1 took 7550ms
Step 2 took 5149ms
********** Factor found in step 2: 326340832123646895643854626263229
Found probable prime factor of 33 digits: 326340832123646895643854626263229
Composite cofactor 2586168331471597729276858978627700429022636622878111289171761071952216190398568211037785730536574224793816486948291402418397204046356534461 has 139 digits

GMP-ECM 6.3

2586168331471597729276858978627700429022636622878111289171761071952216190398568211037785730536574224793816486948291402418397204046356534461<139>

425100255296843733066290944486751863322238127<45>
6083666850930727742129759978046354525452646259409658481906694485953225343294672771398348585043<94>

Number: 82229_215
N = 2586168331471597729276858978627700429022636622878111289171761071952216190398568211037785730536574224793816486948291402418397204046356534461 (139 digits)
Divisors found:
r1=425100255296843733066290944486751863322238127 (pp45)
r2=6083666850930727742129759978046354525452646259409658481906694485953225343294672771398348585043 (pp94)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 336.49 hours.
Factorization parameters were as follows:
# Murphy_E = 2.927e-11, selected by Erik Branger
n: 2586168331471597729276858978627700429022636622878111289171761071952216190398568211037785730536574224793816486948291402418397204046356534461
Y0: -652221473389321491665061581
Y1: 475514645610451
c0: -3334864227207985847372189846585256
c1: -8882639870812943793817568988
c2: 62644993932001259226814
c3: 27484032446326189
c4: -48154966670
c5: 21912
skew: 843073.29
type: gnfs
# selected mechanically
rlim: 16500000
alim: 16500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 16500000/16500000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [8250000, 20950000)
Relations: 23069370
Relations in full relation-set: 4025428 relations
Pruned matrix : 2461364 x 2461590
Polynomial selection time: 0.00 hours.
Total sieving time: 330.81 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 5.20 hours.
time per square root: 0.36 hours.
Prototype def-par.txt line would be: gnfs,138,5,65,2000,1e-05,0.28,250,20,50000,3600,16500000,16500000,28,28,55,55,2.6,2.6,100000
total time: 336.49 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

269829806079765078565418627753265672642575884977675625178064410586710355889013142054203675171121513375316865868314804032508745760037870063705614321449728918190365769963464164793949424868468004378980425084363<207>

163038228845989686856158564853319888680416865523557064776660081<63>
1655009429320123435780335584920547389095086066742258325968608087570815752584323754478674540481687902283291037762351848773706903475656550455702523<145>

Number: n
N=269829806079765078565418627753265672642575884977675625178064410586710355889013142054203675171121513375316865868314804032508745760037870063705614321449728918190365769963464164793949424868468004378980425084363
  ( 207 digits)
SNFS difficulty: 217 digits.
Divisors found:

Thu Dec 26 11:30:47 2019  p63 factor: 163038228845989686856158564853319888680416865523557064776660081
Thu Dec 26 11:30:47 2019  p145 factor: 1655009429320123435780335584920547389095086066742258325968608087570815752584323754478674540481687902283291037762351848773706903475656550455702523
Thu Dec 26 11:30:47 2019  elapsed time 07:57:12 (Msieve 1.54 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.131).
Factorization parameters were as follows:
#
# N = 74x10^216+61 = 82(215)9
#
n: 269829806079765078565418627753265672642575884977675625178064410586710355889013142054203675171121513375316865868314804032508745760037870063705614321449728918190365769963464164793949424868468004378980425084363
m: 1000000000000000000000000000000000000
deg: 6
c6: 74
c0: 61
skew: 0.97
# Murphy_E = 2.957e-12
type: snfs
lss: 1
rlim: 30000000
alim: 30000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 30000000/30000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 83800000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9075619 hash collisions in 56600464 relations (49739468 unique)
Msieve: matrix is 4234485 x 4234712 (1488.8 MB)

Sieving start time: 2019/12/24 10:17:42
Sieving end time  : 2019/12/26 03:32:07

Total sieving time: 41hrs 14min 25secs.

Total relation processing time: 7hrs 30min 43sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 24sec.

Prototype def-par.txt line would be:
snfs,217,6,0,0,0,0,0,0,0,0,30000000,30000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149937] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283572K/16703460K available (12300K kernel code, 2481K rwdata, 4264K rodata, 2428K init, 2388K bss, 419888K reserved, 0K cma-reserved)
[    0.184567] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.57 BogoMIPS (lpj=11977148)
[    0.182215] smpboot: Total of 16 processors activated (95817.18 BogoMIPS)

38791801624883624326388306291610361235345470766726486515219274482244175256939178856706469252796427202090052398880733431106265091569255670350738606493942671722942050604214614928260729267211<188>

85287904477454782110668409259910636025212072696505377673224027202415777589245407312614895917465096875937482629072495998124403726615799807897062939280970639973120018602905521482461447187522434896832350753284094321<212>

142376949956836015882837281777354266601794138495938078640414653180092400036201730230751971427<93>
599028877239688412018687965942044316956323482959202750220018626139016850590213954043615446925699139410516729542470794523<120>

Number: n
N=85287904477454782110668409259910636025212072696505377673224027202415777589245407312614895917465096875937482629072495998124403726615799807897062939280970639973120018602905521482461447187522434896832350753284094321
  ( 212 digits)
SNFS difficulty: 219 digits.
Divisors found:

Mon Sep  2 08:54:16 2019  p93 factor: 142376949956836015882837281777354266601794138495938078640414653180092400036201730230751971427
Mon Sep  2 08:54:16 2019  p120 factor: 599028877239688412018687965942044316956323482959202750220018626139016850590213954043615446925699139410516729542470794523
Mon Sep  2 08:54:16 2019  elapsed time 11:35:13 (Msieve 1.54 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.121).
Factorization parameters were as follows:
#
# N = 74x10^218+61 = 82(217)9
#
n: 85287904477454782110668409259910636025212072696505377673224027202415777589245407312614895917465096875937482629072495998124403726615799807897062939280970639973120018602905521482461447187522434896832350753284094321
m: 1000000000000000000000000000000000000
deg: 6
c6: 7400
c0: 61
skew: 0.45
# Murphy_E = 1.623e-12
type: snfs
lss: 1
rlim: 32000000
alim: 32000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 32000000/32000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 113600000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 15081765 hash collisions in 69239749 relations (55297887 unique)
Msieve: matrix is 4942431 x 4942657 (1719.2 MB)

Sieving start time: 2019/08/30 13:21:40
Sieving end time  : 2019/09/01 21:16:36

Total sieving time: 55hrs 54min 56secs.

Total relation processing time: 11hrs 1min 56sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 11min 9sec.

Prototype def-par.txt line would be:
snfs,219,6,0,0,0,0,0,0,0,0,32000000,32000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.040000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16284080K/16703460K available (12300K kernel code, 2478K rwdata, 4280K rodata, 2424K init, 2384K bss, 419380K reserved, 0K cma-reserved)
[    0.072549] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.52 BogoMIPS (lpj=11977052)
[    0.070220] smpboot: Total of 16 processors activated (95816.41 BogoMIPS)

286744500577767827669449574017217970402720195457253224197590063444181285718631296240553217522941033782621991609824952214812629027025922831201924780923715048408263791718604489957599203<183>

10494444044594051595840675217974211427158792391898256038231007272659227<71>
27323457951588872550038117819646066932656488926891778003805855423334681864819572420291056949174865005976765264089<113>

Number: 82229_219
N = 286744500577767827669449574017217970402720195457253224197590063444181285718631296240553217522941033782621991609824952214812629027025922831201924780923715048408263791718604489957599203 (183 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=10494444044594051595840675217974211427158792391898256038231007272659227 (pp71)
r2=27323457951588872550038117819646066932656488926891778003805855423334681864819572420291056949174865005976765264089 (pp113)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 73.68 hours.
Factorization parameters were as follows:
n: 286744500577767827669449574017217970402720195457253224197590063444181285718631296240553217522941033782621991609824952214812629027025922831201924780923715048408263791718604489957599203
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 37
c0: 305
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 8111100 relations
Pruned matrix : 6914653 x 6914878
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 36.14 hours.
Total relation processing time: 0.35 hours.
Matrix solve time: 36.79 hours.
time per square root: 0.40 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 73.68 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

1160153939735413951247306282119253011708115989132686608677116103662932946387248413727183437395468709784452792412980025123961208758983<133>

26355872289887574136004237654781923969275571<44>
44018802602126389464376527118262363223587857683750972383950696860997714121794615615401373<89>

Number: 82229_220
N = 1160153939735413951247306282119253011708115989132686608677116103662932946387248413727183437395468709784452792412980025123961208758983 (133 digits)
Divisors found:
r1=26355872289887574136004237654781923969275571 (pp44)
r2=44018802602126389464376527118262363223587857683750972383950696860997714121794615615401373 (pp89)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 126.57 hours.
Factorization parameters were as follows:
# Murphy_E = 6.879e-11, selected by Erik Branger
n: 1160153939735413951247306282119253011708115989132686608677116103662932946387248413727183437395468709784452792412980025123961208758983
Y0: -31518872367542761020373830
Y1: 21809545087907
c0: 64948585073533109552750216978479
c1: 390732865750729783315569341
c2: -887781253877950943553
c3: -6939138360780209
c4: 624884366
c5: 37296
skew: 334690.63
type: gnfs
# selected mechanically
rlim: 11100000
alim: 11100000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 11100000/11100000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [5550000, 11750000)
Relations: 20159712
Relations in full relation-set: 2513440 relations
Pruned matrix : 1521837 x 1522065
Polynomial selection time: 0.00 hours.
Total sieving time: 124.28 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.90 hours.
time per square root: 0.31 hours.
Prototype def-par.txt line would be: gnfs,132,5,65,2000,1e-05,0.28,250,20,50000,3600,11100000,11100000,28,28,54,54,2.6,2.6,100000
total time: 126.57 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

100771662410275264908480414471236200219724301651373359141852884810779662708449172479174705946531568572718179462997091246246893723981700180230199843744816065240178368266205620011326638636565153720441<198>

16586566986107214075426363098739360497<38>
6075498473836138882178556728117437127262449688583544600264994312739839088336210729717072547422554043847580631235168362441654030644779053650564742779670404345353<160>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3070585272
Step 1 took 37813ms
Step 2 took 12392ms
********** Factor found in step 2: 16586566986107214075426363098739360497
Found probable prime factor of 38 digits: 16586566986107214075426363098739360497

272978895426186149689877989477133882103927179830377156523108475467760063515541015144393023229717867857644510140635773403673567386334548261484273061463029324273472566241949197610714717<183>

72290766080046333633926513045729699<35>

3776123981366047077636173918412424046115108212533997937991483551625863188202146515076520189006740483258444644142479139008101538783637653510975760383<148>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=123202846
Step 1 took 10468ms
Step 2 took 5631ms
********** Factor found in step 2: 72290766080046333633926513045729699
Found probable prime factor of 35 digits: 72290766080046333633926513045729699
Composite cofactor 3776123981366047077636173918412424046115108212533997937991483551625863188202146515076520189006740483258444644142479139008101538783637653510975760383 has 148 digits

GMP-ECM 6.3

3776123981366047077636173918412424046115108212533997937991483551625863188202146515076520189006740483258444644142479139008101538783637653510975760383<148>

118460933385618196943128733613851731759398907358596726382145473<63>
31876534089714416457992300809057376299051493383880364215346414532531471163493007476671<86>

118460933385618196943128733613851731759398907358596726382145473
31876534089714416457992300809057376299051493383880364215346414532531471163493007476671

cado-nfs

2x Xeon E5-2698v4, 256GB DDR4, Ubuntu Server 22.04

33140963354039848298004341583760754732646468582369655399872915233948535422508062330842670227248121583043075339953517395109523302917449712241562342764462261536468165604365476581420049383990621671653208292581053453<212>

580579388297729461229726374018546373183<39>

57082569622751894179567523767917615907762435798891302236275563755704681776160435091297512327965048214646778234850387319401399666684531349191054078175871413625628557566848691<173>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=289954965
Step 1 took 143501ms
Step 2 took 45539ms
********** Factor found in step 2: 580579388297729461229726374018546373183
Found probable prime factor of 39 digits: 580579388297729461229726374018546373183

185546126024418804668989227275925897265432076831808818959651108531965979975277398747028551879948807912577287135539184469898516726372153183079386057514428398694623028578633697925957044502912285076302158891976853<210>

212168757393878461961218882260429658304360935235070382997998403483459736276765212029657097701533978821719998322778868919019491346470630862133617181730729624424129188249<168>

57209342740283282954015108247061244883390842087697670854276962935685318940085499955990876178469740078597366236955801479523912092199349977596320619477770754771410381043513662914760519983272163048508948323640641845441781<218>

183008779689594633560805774738967507065212501781142225518215893836242448291639885149012256062767806009725482608633278650091667945252270903269124197372311340431129118843896730881421520344630122590017<198>

70275403608736942070275403608736942070275403608736942070275403608736942070275403608736942070275403608736942070275403608736942070275403608736942070275403608736942070275403608736942070275403608736942070275403608736942070275403608737<230>

563502626643690472896533669329912640938775043302561<51>
271352030614326693063521510995880009975799428492140945326761632343721176429<75>
459593976251944234701688736160663740689369053661664451468238383139359841623743826928496252647992743619173<105>

Number: n
N=70275403608736942070275403608736942070275403608736942070275403608736942070275403608736942070275403608736942070275403608736942070275403608736942070275403608736942070275403608736942070275403608736942070275403608736942070275403608737
  ( 230 digits)
SNFS difficulty: 232 digits.
Divisors found:

Sun Jan 13 13:23:47 2019  found factor: 459593976251944234701688736160663740689369053661664451468238383139359841623743826928496252647992743619173
Sun Jan 13 14:12:38 2019  found factor: 459593976251944234701688736160663740689369053661664451468238383139359841623743826928496252647992743619173
Sun Jan 13 14:37:05 2019  p51 factor: 563502626643690472896533669329912640938775043302561
Sun Jan 13 14:37:05 2019  p75 factor: 271352030614326693063521510995880009975799428492140945326761632343721176429
Sun Jan 13 14:37:05 2019  p105 factor: 459593976251944234701688736160663740689369053661664451468238383139359841623743826928496252647992743619173
Sun Jan 13 14:37:05 2019  elapsed time 37:10:28 (Msieve 1.54 - dependency 4)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.129).
Factorization parameters were as follows:
#
# N = 74x10^231+61 = 82(230)9
#
n: 70275403608736942070275403608736942070275403608736942070275403608736942070275403608736942070275403608736942070275403608736942070275403608736942070275403608736942070275403608736942070275403608736942070275403608736942070275403608737
m: 100000000000000000000000000000000000000
deg: 6
c6: 74000
c0: 61
skew: 0.31
# Murphy_E = 6.922e-13
type: snfs
lss: 1
rlim: 53000000
alim: 53000000
lpbr: 30
lpba: 30
mfbr: 60
mfba: 60
rlambda: 2.7
alambda: 2.7
Factor base limits: 53000000/53000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 60/60
Sieved  special-q in [100000, 116900000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 20026709 hash collisions in 107975763 relations (89873925 unique)
Msieve: matrix is 8156889 x 8157114 (2888.1 MB)

Sieving start time: 2019/01/09 05:20:10
Sieving end time  : 2019/01/12 01:23:10

Total sieving time: 68hrs 3min 0secs.

Total relation processing time: 34hrs 53min 44sec.
Matrix solve time: 0.00 hours.
Total square root time: 1hrs 37min 41sec.

Prototype def-par.txt line would be:
snfs,232,6,0,0,0,0,0,0,0,0,53000000,53000000,30,30,60,60,2.7,2.7,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.048000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16285120K/16703460K available (12300K kernel code, 2472K rwdata, 4252K rodata, 2408K init, 2416K bss, 418340K reserved, 0K cma-reserved)
[    0.080545] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.82 BogoMIPS (lpj=11977644)
[    0.078213] smpboot: Total of 16 processors activated (95821.15 BogoMIPS)

11746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031747<233>

176681524540130607670059350530064370399191904139098716062196490346973451551<75>
66481380985388813611112176923719905563096108750371521734043142237097774198814966088960966763062064008401232195775295440525480102411596278549766806749713466397<158>

N=11746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031747
  ( 233 digits)
SNFS difficulty: 235 digits.
Divisors found:
 r1=176681524540130607670059350530064370399191904139098716062196490346973451551 (pp75)
 r2=66481380985388813611112176923719905563096108750371521734043142237097774198814966088960966763062064008401232195775295440525480102411596278549766806749713466397 (pp158)
Version: Msieve v. 1.53 (SVN Unversioned directory)
Total time:
Scaled time: 185.05 units (timescale=1.841).
Factorization parameters were as follows:
n: 11746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031746031747
m: 1000000000000000000000000000000000000000
deg: 6
c6: 37
c0: 3050
skew: 2.09
# Murphy_E = 7.066e-13
type: snfs
lss: 1
rlim: 59000000
alim: 59000000
lpbr: 30
lpba: 30
mfbr: 60
mfba: 60
rlambda: 2.7
alambda: 2.7
qintsize: 160000
Factor base limits: 59000000/59000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 60/60
Sieved rational special-q in [29500000, 65340001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 8071590 x 8071816
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,235.000,6,0,0,0,0,0,0,0,0,59000000,59000000,30,30,60,60,2.7,2.7,100000
total time:

8634365444751798443410805170016104791710292399068219044130325890300786710831366098024315399780852235325387944630747156008234971043382307044783605145713140080060052772609648112637420581667062127864353329838336956854634881<220>

3530168247858781285097909662256815742299485960995956691540532903861462670079554465179860950377351106249609606007404333875234459493127760078544063422058735764415199271589329662735028216742986833465353409<202>

230535493698917285673842122425650593707023<42>
15312905580037200091000645957353890998288019286920677993756532863447043252461140140027038820052710034692649709446790967032839414630171202412590846131718408833583<161>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2679640466
Step 1 took 36833ms
Step 2 took 12908ms
********** Factor found in step 2: 230535493698917285673842122425650593707023
Found probable prime factor of 42 digits: 230535493698917285673842122425650593707023

9110848795730693337743116310879394610591405740493113250628879962698597579120346703822232538451467163237749341649939503965055325670804792994600424106138223502938003441390877461101561171608358929154607088962761<208>

4001293703712263156278705592309<31>
564856641151780118227755303185687<33>
4031068416385242248385538310183142371842947449633698918053166153375504137357810510847992592445632172658987206261736469527289757326945600176409667<145>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3969121495
Step 1 took 9921ms
Step 2 took 5929ms
********** Factor found in step 2: 4001293703712263156278705592309
Found probable prime factor of 31 digits: 4001293703712263156278705592309
Composite cofactor 2276975765932393339217465254121476223239874242778565321224253893773961686914579254917668526023389348982540611703797747955228498466953718385112144981813645475064290819671082836229 has 178 digits

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1011648459
Step 1 took 8549ms
Step 2 took 764ms
********** Factor found in step 2: 564856641151780118227755303185687
Found probable prime factor of 33 digits: 564856641151780118227755303185687
Probable prime cofactor 4031068416385242248385538310183142371842947449633698918053166153375504137357810510847992592445632172658987206261736469527289757326945600176409667 has 145 digits

GMP-ECM 6.3

1318715033606378533824974072677661419949058331755399654815661146959232644858399587435185585757451595245088699794344461242943632721558225217271592835173695714796836207923735138836742146578536912991992773<202>

2807217152920912254087894019798601002037<40>
469758825830147918194270900722212890625746879416433576699204001462836724755560293776759507058800350248239813526866554787111704325069239489504920217154802456290129<162>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2801438124
Step 1 took 142817ms
Step 2 took 43855ms
********** Factor found in step 2: 2807217152920912254087894019798601002037
Found probable prime factor of 40 digits: 2807217152920912254087894019798601002037

244268205148080712583480465127809461130446076821144550394907517451064251819283608513061930687242553445375514497182976771286163594290878165899884308609085422200711152758277167507<177>