35961711354381511449574276799407689460045480987889364852715638055952192077846528108308213020254905071659<104>

1246448664957339799134281813<28>
28851337696777360109702926354001502481219789662031045816855532298591111394943<77>

N=35961711354381511449574276799407689460045480987889364852715638055952192077846528108308213020254905071659
  ( 104 digits)
SNFS difficulty: 107 digits.
Divisors found:
 r1=1246448664957339799134281813 (pp28)
 r2=28851337696777360109702926354001502481219789662031045816855532298591111394943 (pp77)
Version: Msieve-1.40
Total time: 0.40 hours.
Scaled time: 0.74 units (timescale=1.834).
Factorization parameters were as follows:
n: 35961711354381511449574276799407689460045480987889364852715638055952192077846528108308213020254905071659
m: 1000000000000000000000
deg: 5
c5: 680
c0: 31
skew: 0.54
type: snfs
lss: 1
rlim: 440000
alim: 440000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2Factor base limits: 440000/440000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [220000, 320001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 38652 x 38877
Total sieving time: 0.39 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,107.000,5,0,0,0,0,0,0,0,0,440000,440000,25,25,44,44,2.2,2.2,50000
total time: 0.40 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

4471422906060599484984139928708422260400283093674929001366216966459133463228168754393748372122598262313<103>

150578119693288207836470725802931710300783336777<48>
29695037467385152935692049177562015039149743749687411169<56>

N=4471422906060599484984139928708422260400283093674929001366216966459133463228168754393748372122598262313
  ( 103 digits)
SNFS difficulty: 109 digits.
Divisors found:
 r1=150578119693288207836470725802931710300783336777 (pp48)
 r2=29695037467385152935692049177562015039149743749687411169 (pp56)
Version: Msieve-1.40
Total time: 0.64 hours.
Scaled time: 1.26 units (timescale=1.963).
Factorization parameters were as follows:
n: 4471422906060599484984139928708422260400283093674929001366216966459133463228168754393748372122598262313
m: 2000000000000000000000
deg: 5
c5: 2125
c0: 31
skew: 0.43
type: snfs
lss: 1
rlim: 470000
alim: 470000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2Factor base limits: 470000/470000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [235000, 385001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 44728 x 44959
Total sieving time: 0.62 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,109.000,5,0,0,0,0,0,0,0,0,470000,470000,25,25,44,44,2.2,2.2,50000
total time: 0.64 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

117652136545221912976539918304840573257486417659088317570207254929124209859585794047601347460666857922983338097<111>

6634669135672764257553453456120632517947<40>
17732931987917711009328662473632708127743210594667847722218063513552451<71>

N=117652136545221912976539918304840573257486417659088317570207254929124209859585794047601347460666857922983338097
  ( 111 digits)
SNFS difficulty: 120 digits.
Divisors found:
 r1=6634669135672764257553453456120632517947 (pp40)
 r2=17732931987917711009328662473632708127743210594667847722218063513552451 (pp71)
Version: Msieve-1.40
Total time: 1.52 hours.
Scaled time: 2.93 units (timescale=1.922).
Factorization parameters were as follows:
n: 117652136545221912976539918304840573257486417659088317570207254929124209859585794047601347460666857922983338097
m: 200000000000000000000000
deg: 5
c5: 21250
c0: 31
skew: 0.27
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 : 76233 x 76462
Total sieving time: 1.48 hours.
Total relation processing time: 0.01 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: 1.52 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

23081563272393504608498474761706374197973657306420442943852972944554259658162200187498273275712430781894219<107>

15805941502604126681615117882084741<35>
1460309293729239363139970762663567667195019351405645904493488161939164559<73>

N=23081563272393504608498474761706374197973657306420442943852972944554259658162200187498273275712430781894219
  ( 107 digits)
SNFS difficulty: 124 digits.
Divisors found:
 r1=15805941502604126681615117882084741 (pp35)
 r2=1460309293729239363139970762663567667195019351405645904493488161939164559 (pp73)
Version: Msieve-1.40
Total time: 1.58 hours.
Scaled time: 3.11 units (timescale=1.963).
Factorization parameters were as follows:
n: 23081563272393504608498474761706374197973657306420442943852972944554259658162200187498273275712430781894219
m: 2000000000000000000000000
deg: 5
c5: 2125
c0: 31
skew: 0.43
type: snfs
lss: 1
rlim: 840000
alim: 840000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2Factor base limits: 840000/840000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [420000, 770001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 99439 x 99664
Total sieving time: 1.53 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,124.000,5,0,0,0,0,0,0,0,0,840000,840000,25,25,46,46,2.2,2.2,50000
total time: 1.58 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

28542763874437913205487855707701668432438723177861207312592884591693426607608310073610917901821200641516476277956668939<119>

15850593937734961158350585904613693897074287<44>
1800737813772841770073771228425346708559403534164709399543295848456867471397<76>

N=28542763874437913205487855707701668432438723177861207312592884591693426607608310073610917901821200641516476277956668939
  ( 119 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=15850593937734961158350585904613693897074287 (pp44)
 r2=1800737813772841770073771228425346708559403534164709399543295848456867471397 (pp76)
Version: Msieve-1.40
Total time: 2.51 hours.
Scaled time: 4.56 units (timescale=1.813).
Factorization parameters were as follows:
n: 28542763874437913205487855707701668432438723177861207312592884591693426607608310073610917901821200641516476277956668939
m: 20000000000000000000000000
deg: 5
c5: 21250
c0: 31
skew: 0.27
type: snfs
lss: 1
rlim: 1060000
alim: 1060000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1060000/1060000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [530000, 1030001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 151239 x 151466
Total sieving time: 2.42 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,130.000,5,0,0,0,0,0,0,0,0,1060000,1060000,26,26,47,47,2.3,2.3,50000
total time: 2.51 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

10342097971399540079633988595037935069400821487904349185261500024432707324650559828073<86>

6328328267930458654843816832915939<34>
1634254345465820314671612324574857719012196626173507<52>

12/14/09 21:58:42 v1.14 @ REPGMAIL, starting SIQS on c86: 10342097971399540079633988595037935069400821487904349185261500024432707324650559828073
12/14/09 21:58:42 v1.14 @ REPGMAIL, random seeds: 0, 3887612160
12/14/09 21:58:43 v1.14 @ REPGMAIL, ==== sieve params ====
12/14/09 21:58:43 v1.14 @ REPGMAIL, n = 86 digits, 284 bits
12/14/09 21:58:43 v1.14 @ REPGMAIL, factor base: 56327 primes (max prime = 1475729)
12/14/09 21:58:43 v1.14 @ REPGMAIL, single large prime cutoff: 162330190 (110 * pmax)
12/14/09 21:58:43 v1.14 @ REPGMAIL, double large prime range from 42 to 50 bits
12/14/09 21:58:43 v1.14 @ REPGMAIL, double large prime cutoff: 600784520801526
12/14/09 21:58:43 v1.14 @ REPGMAIL, allocating 12 large prime slices of factor base
12/14/09 21:58:43 v1.14 @ REPGMAIL, buckets hold 1024 elements
12/14/09 21:58:43 v1.14 @ REPGMAIL, sieve interval: 18 blocks of size 32768
12/14/09 21:58:43 v1.14 @ REPGMAIL, polynomial A has ~ 11 factors
12/14/09 21:58:43 v1.14 @ REPGMAIL, using multiplier of 2
12/14/09 21:58:43 v1.14 @ REPGMAIL, using small prime variation correction of 21 bits
12/14/09 21:58:43 v1.14 @ REPGMAIL, using SSE2 for trial division and x128 sieve scanning
12/14/09 21:58:43 v1.14 @ REPGMAIL, trial factoring cutoff at 92 bits
12/14/09 21:58:43 v1.14 @ REPGMAIL, ==== sieving started ( 8 threads) ====
12/14/09 22:05:23 v1.14 @ REPGMAIL, trial division touched 13815966 sieve locations out of 3668761903104
12/14/09 22:05:23 v1.14 @ REPGMAIL, 58137 relations found: 19063 full + 39074 from 549464 partial, using 3110048 polys (311 A polys)
12/14/09 22:05:23 v1.14 @ REPGMAIL, on average, sieving found 0.18 rels/poly and 1418.23 rels/sec
12/14/09 22:05:23 v1.14 @ REPGMAIL, trial division touched 13815966 sieve locations out of 3668761903104
12/14/09 22:05:23 v1.14 @ REPGMAIL, ==== post processing stage (msieve-1.38) ====
12/14/09 22:05:24 v1.14 @ REPGMAIL, begin with 568527 relations
12/14/09 22:05:24 v1.14 @ REPGMAIL, reduce to 121540 relations in 9 passes
12/14/09 22:05:27 v1.14 @ REPGMAIL, recovered 121540 relations
12/14/09 22:05:27 v1.14 @ REPGMAIL, recovered 84249 polynomials
12/14/09 22:05:28 v1.14 @ REPGMAIL, attempting to build 58137 cycles
12/14/09 22:05:28 v1.14 @ REPGMAIL, found 58137 cycles in 4 passes
12/14/09 22:05:28 v1.14 @ REPGMAIL, distribution of cycle lengths:
12/14/09 22:05:28 v1.14 @ REPGMAIL,    length 1 : 19063
12/14/09 22:05:28 v1.14 @ REPGMAIL,    length 2 : 15070
12/14/09 22:05:28 v1.14 @ REPGMAIL,    length 3 : 10885
12/14/09 22:05:28 v1.14 @ REPGMAIL,    length 4 : 6333
12/14/09 22:05:28 v1.14 @ REPGMAIL,    length 5 : 3437
12/14/09 22:05:28 v1.14 @ REPGMAIL,    length 6 : 1799
12/14/09 22:05:28 v1.14 @ REPGMAIL,    length 7 : 862
12/14/09 22:05:28 v1.14 @ REPGMAIL,    length 9+: 688
12/14/09 22:05:28 v1.14 @ REPGMAIL, largest cycle: 16 relations
12/14/09 22:05:28 v1.14 @ REPGMAIL, matrix is 56327 x 58137 (11.8 MB) with weight 2860361 (49.20/col)
12/14/09 22:05:28 v1.14 @ REPGMAIL, sparse part has weight 2860361 (49.20/col)
12/14/09 22:05:28 v1.14 @ REPGMAIL, filtering completed in 4 passes
12/14/09 22:05:28 v1.14 @ REPGMAIL, matrix is 48817 x 48881 (9.8 MB) with weight 2374448 (48.58/col)
12/14/09 22:05:28 v1.14 @ REPGMAIL, sparse part has weight 2374448 (48.58/col)
12/14/09 22:05:28 v1.14 @ REPGMAIL, saving the first 48 matrix rows for later
12/14/09 22:05:28 v1.14 @ REPGMAIL, matrix is 48769 x 48881 (7.9 MB) with weight 1988288 (40.68/col)
12/14/09 22:05:28 v1.14 @ REPGMAIL, sparse part has weight 1773744 (36.29/col)
12/14/09 22:05:28 v1.14 @ REPGMAIL, matrix includes 64 packed rows
12/14/09 22:05:28 v1.14 @ REPGMAIL, using block size 19552 for processor cache size 6144 kB
12/14/09 22:05:29 v1.14 @ REPGMAIL, commencing Lanczos iteration
12/14/09 22:05:29 v1.14 @ REPGMAIL, memory use: 7.2 MB
12/14/09 22:05:42 v1.14 @ REPGMAIL, lanczos halted after 773 iterations (dim = 48763)
12/14/09 22:05:42 v1.14 @ REPGMAIL, recovered 14 nontrivial dependencies
12/14/09 22:05:43 v1.14 @ REPGMAIL, prp52 = 1634254345465820314671612324574857719012196626173507
12/14/09 22:05:44 v1.14 @ REPGMAIL, prp34 = 6328328267930458654843816832915939
12/14/09 22:05:44 v1.14 @ REPGMAIL, Lanczos elapsed time = 18.6090 seconds.
12/14/09 22:05:44 v1.14 @ REPGMAIL, Sqrt elapsed time = 2.5000 seconds.
12/14/09 22:05:44 v1.14 @ REPGMAIL, SIQS elapsed time = 421.9790 seconds.

YAFU v1.14

32556065675099242514509548230892736110901273716548379934378236917526599026909990576685356401273879947<101>

36954238232459266794746422219280310036992683933<47>
880983270993343639800108777244778655265600180659756359<54>

N=32556065675099242514509548230892736110901273716548379934378236917526599026909990576685356401273879947
  ( 101 digits)
Divisors found:
 r1=36954238232459266794746422219280310036992683933 (pp47)
 r2=880983270993343639800108777244778655265600180659756359 (pp54)
Version: Msieve-1.40
Total time: 3.88 hours.
Scaled time: 7.39 units (timescale=1.905).
Factorization parameters were as follows:
name: g0
n: 32556065675099242514509548230892736110901273716548379934378236917526599026909990576685356401273879947
skew: 9331.96
# norm 1.42e+014
c5: 77700
c4: -857413225
c3: -17143839924827
c2: 70864659807859085
c1: 721204846229342710248
c0: -1087149978755970537439980
# alpha -6.52
Y1: 25776775063
Y0: -13318154067841040467
# Murphy_E 3.25e-009
# M 27532399991660424287791386334789384309991547594287584614629526678504506374241159243714975923135653028
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: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 195770 x 196001
Polynomial selection time: 0.43 hours.
Total sieving time: 3.28 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
gnfs,100,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 3.88 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

46569659304886651490438767131553120040397812939779228259856637279984635433151663202704620061831030849474071331459013025813<122>

3775676221594506443793913356406245596727082658528011309483<58>
12334124159941821239867158087321352017654694921147016591540360511<65>

N=46569659304886651490438767131553120040397812939779228259856637279984635433151663202704620061831030849474071331459013025813
  ( 122 digits)
SNFS difficulty: 134 digits.
Divisors found:
 r1=3775676221594506443793913356406245596727082658528011309483 (pp58)
 r2=12334124159941821239867158087321352017654694921147016591540360511 (pp65)
Version: Msieve-1.40
Total time: 4.95 hours.
Scaled time: 4.61 units (timescale=0.932).
Factorization parameters were as follows:
n: 46569659304886651490438767131553120040397812939779228259856637279984635433151663202704620061831030849474071331459013025813
m: 200000000000000000000000000
deg: 5
c5: 2125
c0: 31
skew: 0.43
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 : 160015 x 160240
Total sieving time: 4.77 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.03 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: 4.95 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

125112693418704347666096299976081396846424168828540413239866791779360085371014332762966642748063513090835495207079906533458446026752037681<138>

64577825418450786827092826500152721<35>
121323237318025912960150232176754713404906484098187<51>
15968861963782638135182074151294697288027680707033603<53>

N=125112693418704347666096299976081396846424168828540413239866791779360085371014332762966642748063513090835495207079906533458446026752037681
  ( 138 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=64577825418450786827092826500152721 (pp35)
 r2=121323237318025912960150232176754713404906484098187 (pp51)
 r3=15968861963782638135182074151294697288027680707033603 (pp53)
Version: Msieve-1.40
Total time: 5.62 hours.
Scaled time: 5.23 units (timescale=0.930).
Factorization parameters were as follows:
n: 125112693418704347666096299976081396846424168828540413239866791779360085371014332762966642748063513090835495207079906533458446026752037681
m: 10000000000000000000000000000
deg: 5
c5: 68
c0: 31
skew: 0.85
type: snfs
lss: 1
rlim: 1620000
alim: 1620000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1620000/1620000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [810000, 1510001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 202238 x 202469
Total sieving time: 5.44 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,141.000,5,0,0,0,0,0,0,0,0,1620000,1620000,26,26,48,48,2.3,2.3,100000
total time: 5.62 hours.
 --------- CPU info (if available) ----------

102723954476459774940437404231851091242454241248712021855259577828447262557110513731009155996686407321671608272279<114>

12691592973270826647859080507280059533<38>
8093858248747963723614320594420759566733031650636803553239263136703583574963<76>

Number: 75559_141
N=102723954476459774940437404231851091242454241248712021855259577828447262557110513731009155996686407321671608272279
  ( 114 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=12691592973270826647859080507280059533 (pp38)
 r2=8093858248747963723614320594420759566733031650636803553239263136703583574963 (pp76)
Version: Msieve v. 1.43
Total time: 24.33 hours.
Scaled time: 39.86 units (timescale=1.638).
Factorization parameters were as follows:
n: 102723954476459774940437404231851091242454241248712021855259577828447262557110513731009155996686407321671608272279
m: 10000000000000000000000000000
deg: 5
c5: 680
c0: 31
skew: 0.54
type: snfs
lss: 1
rlim: 1680000
alim: 1680000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
qintsize: 5
Factor base limits: 1680000/1680000
Large primes per side: 2
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [840000, 1640001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 253831 x 254056
Total sieving time: 23.80 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.36 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,142.000,5,0,0,0,0,0,0,0,0,1680000,1680000,26,26,48,48,2.3,2.3,100000
total time: 24.33 hours.
 --------- CPU info (if available) ----------

GMP-ECM + Msieve v1.43

194246026727211654968913305488461548367824105430564236553497494764492736602120625486924694056985227303799150069504743<117>

151840443799935154578099961093885897305133766399969<51>
1279277258851732954711573830325981672571369287299325807035602299847<67>

Number: 75559_143
N=194246026727211654968913305488461548367824105430564236553497494764492736602120625486924694056985227303799150069504743
  ( 117 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=151840443799935154578099961093885897305133766399969 (pp51)
 r2=1279277258851732954711573830325981672571369287299325807035602299847 (pp67)
Version: Msieve v. 1.42
Total time: 0.44 hours.
Scaled time: 0.35 units (timescale=0.796).
Factorization parameters were as follows:
name: 75559_143
n: 194246026727211654968913305488461548367824105430564236553497494764492736602120625486924694056985227303799150069504743
m: 20000000000000000000000000000
deg: 5
c5: 2125
c0: 31
skew: 0.43
type: snfs
lss: 1
rlim: 1820000
alim: 1820000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1820000/1820000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [910000, 2010001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 310126 x 310351
Total sieving time: 0.00 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.30 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,144.000,5,0,0,0,0,0,0,0,0,1820000,1820000,26,26,49,49,2.3,2.3,100000
total time: 0.44 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.. 3721.33 BogoMIPS (lpj=1860666)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860571)
Total of 2 processors activated (7442.47 BogoMIPS).

Total time: 6 hours 40 min.

134534178286319345832622898895901146596617568992049775936590496402371088128677003335143827037621475929875855995224923013657314268043843193<138>

2799109163358252944851206027149459226073495227890800061<55>
48063212413234688284492794240032724922427393061352740109590143514766355380635138413<83>

N=134534178286319345832622898895901146596617568992049775936590496402371088128677003335143827037621475929875855995224923013657314268043843193
  ( 138 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=2799109163358252944851206027149459226073495227890800061 (pp55)
 r2=48063212413234688284492794240032724922427393061352740109590143514766355380635138413 (pp83)
Version: Msieve-1.40
Total time: 8.14 hours.
Scaled time: 15.33 units (timescale=1.883).
Factorization parameters were as follows:
n: 134534178286319345832622898895901146596617568992049775936590496402371088128677003335143827037621475929875855995224923013657314268043843193
m: 20000000000000000000000000000
deg: 5
c5: 21250
c0: 31
skew: 0.27
type: snfs
lss: 1
rlim: 1890000
alim: 1890000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor 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, 2445001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 296638 x 296867
Total sieving time: 7.81 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.19 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: 8.14 hours.
 --------- CPU info (if available) ----------

113129062083031078829244010170332132313320715044935113709770505518972384982973295951897659466799453183<102>

3307593458679400865926471611006730181<37>
34202831604401379070594480213491731602791057229970797659864243443<65>

N=113129062083031078829244010170332132313320715044935113709770505518972384982973295951897659466799453183
  ( 102 digits)
Divisors found:
 r1=3307593458679400865926471611006730181 (pp37)
 r2=34202831604401379070594480213491731602791057229970797659864243443 (pp65)
Version: Msieve-1.40
Total time: 5.05 hours.
Scaled time: 9.94 units (timescale=1.969).
Factorization parameters were as follows:
name: g2
n: 113129062083031078829244010170332132313320715044935113709770505518972384982973295951897659466799453183
skew: 9373.09
# norm 1.77e+014
c5: 95040
c4: 993742740
c3: -20272824328200
c2: -64071914268138185
c1: 842627983672225941408
c0: -11947393337441418505264
# alpha -6.12
Y1: 113350393709
Y0: -16410706557440026473
# Murphy_E 2.82e-009
# M 92210185113258973315463136410439353282245099000867708977336273077550890938594157433529679528411226221
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1150000, 1750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 213563 x 213788
Polynomial selection time: 0.50 hours.
Total sieving time: 4.35 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
gnfs,101,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 5.05 hours.
 --------- CPU info (if available) ----------

668396415648338433890954543438052444688739402620290681217271324456091212669680527046851157307702894290060746844549914253438855080660983466907<141>

92800742277266402244455752296406105709<38>
5095578428923988067283965606586821860079463<43>
1413478385719658305746935999570713543673849123265009091961921<61>

Number: 75559_148
N=668396415648338433890954543438052444688739402620290681217271324456091212669680527046851157307702894290060746844549914253438855080660983466907
  ( 141 digits)
SNFS difficulty: 149 digits.
Divisors found:
 r1=92800742277266402244455752296406105709 (pp38)
 r2=5095578428923988067283965606586821860079463 (pp43)
 r3=1413478385719658305746935999570713543673849123265009091961921 (pp61)
Version: Msieve-1.40
Total time: 15.20 hours.
Scaled time: 30.49 units (timescale=2.006).
Factorization parameters were as follows:
name: 75559_148
n: 668396415648338433890954543438052444688739402620290681217271324456091212669680527046851157307702894290060746844549914253438855080660983466907
m: 200000000000000000000000000000
deg: 5
c5: 2125
c0: 31
skew: 0.43
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor 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, 2800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 361343 x 361575
Total sieving time: 14.29 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.46 hours.
Time per square root: 0.36 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: 15.20 hours.
 --------- CPU info (if available) ----------

46135638687820929838812066263191868163179729504358481810942956823229760345836979303232742885784566508003068751093390943801141<125>

15468762660295908772583556219893591874991586413410861061<56>
2982503494364065761066414097914469989180721776314945400119460545063281<70>

Number: 75559_151
N=46135638687820929838812066263191868163179729504358481810942956823229760345836979303232742885784566508003068751093390943801141
  ( 125 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=15468762660295908772583556219893591874991586413410861061 (pp56)
 r2=2982503494364065761066414097914469989180721776314945400119460545063281 (pp70)
Version: Msieve v. 1.42
Total time: 0.74 hours.
Scaled time: 0.59 units (timescale=0.796).
Factorization parameters were as follows:
name: 75559_151
n: 46135638687820929838812066263191868163179729504358481810942956823229760345836979303232742885784566508003068751093390943801141
m: 1000000000000000000000000000000
deg: 5
c5: 680
c0: 31
skew: 0.54
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1250000, 1950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 448716 x 448944
Total sieving time: 0.00 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.59 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,152.000,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 0.74 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: 12 hours 48 min,

255939850030986695548288189252788447612628484203239494608773140841770157536175882320879124150942934059212023<108>

3066548507815414054489580896722604363076767117<46>
83461862539822110115227266646498778051925156668551304406870419<62>

Number: 75559_152
N = 255939850030986695548288189252788447612628484203239494608773140841770157536175882320879124150942934059212023 (108 digits)
Divisors found:
r1=3066548507815414054489580896722604363076767117 (pp46)
r2=83461862539822110115227266646498778051925156668551304406870419 (pp62)
Version: Msieve v. 1.43
Total time: 2.82 hours.
Factorization parameters were as follows:
n: 255939850030986695548288189252788447612628484203239494608773140841770157536175882320879124150942934059212023
Y0: -800216304290533692855
Y1: 163356992051
c0: 845997905857940790390979088
c1: -13717740524015388769888
c2: -939238414672831673
c3: -1194664705538
c4: 55685724
c5: 780
skew: 75187.910000
type: gnfs
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Sieved algebraic special-q in [1250000, 2599997)
Relations: 544810 relations
Max relations in full relation-set: 0
Pruned matrix : 322571 x 322798
Polynomial selection time: 0.00 hours.
Total sieving time: 2.65 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.09 hours.
time per square root: 0.05 hours.
Prototype def-par.txt line would be: gnfs,107,5,59,2000,0.0006,0.25,200,15,15000,2000,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 2.82 hours.
 --------- CPU info (if available) ----------

facmsieve.py + ggnfs + msieve 1.43

Core2 Quad @ 3.4GHz Windows7 64bit

133898907352819645258592333743688195033415033523846077086030227162430285410817905781825116421112512579777732027671697845253690452273627765255374743<147>

82218149033057374546199124409634989978182904378229<50>
1628580902483988497313313803857300685687348068890318508760551715975257392846938924670363754424667<97>

N=133898907352819645258592333743688195033415033523846077086030227162430285410817905781825116421112512579777732027671697845253690452273627765255374743
  ( 147 digits)
SNFS difficulty: 154 digits.
Divisors found:
 r1=82218149033057374546199124409634989978182904378229 (pp50)
 r2=1628580902483988497313313803857300685687348068890318508760551715975257392846938924670363754424667 (pp97)
Version: Msieve-1.40
Total time: 21.86 hours.
Scaled time: 20.39 units (timescale=0.933).
Factorization parameters were as follows:
n: 133898907352819645258592333743688195033415033523846077086030227162430285410817905781825116421112512579777732027671697845253690452273627765255374743
m: 2000000000000000000000000000000
deg: 5
c5: 2125
c0: 31
skew: 0.43
type: snfs
lss: 1
rlim: 2700000
alim: 2700000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor 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, 2250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 558931 x 559172
Total sieving time: 20.84 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.58 hours.
Time per square root: 0.33 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: 21.86 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

18344313736334581844672411027210518797116935505951994937738808696405178565439743849566462515848470730058197471467949388054772744631112747<137>

11022465325095066543540297455424510467312797832433061<53>
1664265950972847885387347882940298622784758485773844458928984448734183025721689674127<85>

Number: 75559_154
N=18344313736334581844672411027210518797116935505951994937738808696405178565439743849566462515848470730058197471467949388054772744631112747
  ( 137 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=11022465325095066543540297455424510467312797832433061 (pp53)
 r2=1664265950972847885387347882940298622784758485773844458928984448734183025721689674127 (pp85)
Version: Msieve v. 1.42
Total time: 1.29 hours.
Scaled time: 0.88 units (timescale=0.682).
Factorization parameters were as follows:
name: 75559_154
n: 18344313736334581844672411027210518797116935505951994937738808696405178565439743849566462515848470730058197471467949388054772744631112747
m: 2000000000000000000000000000000
deg: 5
c5: 21250
c0: 31
skew: 0.27
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1400000, 2500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 538941 x 539166
Total sieving time: 0.00 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.88 hours.
Time per square root: 0.32 hours.
Prototype def-par.txt line would be:
snfs,155.000,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 1.29 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: 19 hours 30 min.

15945580263882924587942107014628810944272983990706526019380492452889574401932551629985818380998061458531137138325192694162412930697513173511<140>

11697502740342752980980534606010005469862150187512950202204837<62>
1363161062479537155485261537988659688170672775379991179896801901337611497107003<79>

Number: 75559_157
N=15945580263882924587942107014628810944272983990706526019380492452889574401932551629985818380998061458531137138325192694162412930697513173511
  ( 140 digits)
SNFS difficulty: 159 digits.
Divisors found:
 r1=11697502740342752980980534606010005469862150187512950202204837
 r2=1363161062479537155485261537988659688170672775379991179896801901337611497107003
Version: 
Total time: 13.79 hours.
Scaled time: 32.96 units (timescale=2.391).
Factorization parameters were as follows:
n: 15945580263882924587942107014628810944272983990706526019380492452889574401932551629985818380998061458531137138325192694162412930697513173511
m: 20000000000000000000000000000000
deg: 5
c5: 425
c0: 62
skew: 0.68
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, 2800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 8580901
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 518765 x 519013
Total sieving time: 12.60 hours.
Total relation processing time: 0.51 hours.
Matrix solve time: 0.55 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,159,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,50,50,2.4,2.4,100000
total time: 13.79 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673795)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
Calibrating delay using timer specific routine.. 5344.61 BogoMIPS (lpj=2672307)
Calibrating delay using timer specific routine.. 5237.88 BogoMIPS (lpj=2618943)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

9386189103763517006469621987236712026924418927722987455936486310497397186473210344888251208889596115066227642311412902898815314201712761292820541<145>

73328321185444815750224532922188020161<38>
128002236407760732176259025793567865308024528721338109824129676723776183642532446189438654472977861803187581<108>

Number: 75559_158
N=9386189103763517006469621987236712026924418927722987455936486310497397186473210344888251208889596115066227642311412902898815314201712761292820541
  ( 145 digits)
SNFS difficulty: 159 digits.
Divisors found:
 r1=73328321185444815750224532922188020161 (pp38)
 r2=128002236407760732176259025793567865308024528721338109824129676723776183642532446189438654472977861803187581 (pp108)
Version: Msieve-1.40
Total time: 25.02 hours.
Scaled time: 82.28 units (timescale=3.289).
Factorization parameters were as follows:
name: 75559_158
n: 9386189103763517006469621987236712026924418927722987455936486310497397186473210344888251208889596115066227642311412902898815314201712761292820541
m: 20000000000000000000000000000000
deg: 5
c5: 2125
c0: 31
skew: 0.43
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, 3000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 539820 x 540068
Total sieving time: 24.35 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.54 hours.
Time per square root: 0.05 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: 25.02 hours.
 --------- CPU info (if available) ----------

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

2905903977737294604429367676106596707257663422816064580874918581504250072710025033126116197627958793054194305079850513932687865185370349806407284107<148>

1095452786451857479845336990843869<34>
3031367541557656033489094215005778244863223<43>
875082500209732135370222185646509772899320630788491955310134093364613361<72>

Number: 75559_160
N=2905903977737294604429367676106596707257663422816064580874918581504250072710025033126116197627958793054194305079850513932687865185370349806407284107
  ( 148 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=1095452786451857479845336990843869 (pp34)
 r2=3031367541557656033489094215005778244863223 (pp43)
 r3=875082500209732135370222185646509772899320630788491955310134093364613361 (pp72)
Version: Msieve-1.40
Total time: 21.26 hours.
Scaled time: 71.81 units (timescale=3.378).
Factorization parameters were as follows:
name: 75559_160
n: 2905903977737294604429367676106596707257663422816064580874918581504250072710025033126116197627958793054194305079850513932687865185370349806407284107
m: 100000000000000000000000000000000
deg: 5
c5: 68
c0: 31
skew: 0.85
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1750000, 2850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 601177 x 601425
Total sieving time: 20.35 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.68 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,161.000,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 21.26 hours.
 --------- CPU info (if available) ----------

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

553577502400016983116966252870489851648954053573782982915446534323429934236557300057385205000541926886038218662850719203665276945219040612758411713<147>

48071794007779724065612897321655921<35>
11515640591870327886524141669777247519895269606224898627256472886326066731943885383633870183154309518430351439953<113>

Number: 75559_161
N=553577502400016983116966252870489851648954053573782982915446534323429934236557300057385205000541926886038218662850719203665276945219040612758411713
  ( 147 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=48071794007779724065612897321655921 (pp35)
 r2=11515640591870327886524141669777247519895269606224898627256472886326066731943885383633870183154309518430351439953 (pp113)
Version: Msieve v. 1.42
Total time: 1.74 hours.
Scaled time: 1.19 units (timescale=0.682).
Factorization parameters were as follows:
name: 75559_161
n: 553577502400016983116966252870489851648954053573782982915446534323429934236557300057385205000541926886038218662850719203665276945219040612758411713
m: 100000000000000000000000000000000
deg: 5
c5: 680
c0: 31
skew: 0.54
type: snfs
lss: 1
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1800000, 3200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 663034 x 663260
Total sieving time: 0.00 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.42 hours.
Time per square root: 0.23 hours.
Prototype def-par.txt line would be:
snfs,162.000,5,0,0,0,0,0,0,0,0,3600000,3600000,27,27,51,51,2.4,2.4,100000
total time: 1.74 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.. 3721.24 BogoMIPS (lpj=1860624)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860570)
Total of 2 processors activated (7442.38 BogoMIPS).

Total time: 27 hours.

71225138367924136010267313181437346335691828098966491819426258467019252050157999352898669357301011365541969360411874026611597065566196381742022339345677697241<158>

25778848989417544654934256120521125874420343960707<50>
2762929345571740322128112637154510922635299889284102375928162038568887390516964428650356422420285771265986163<109>

Number: 75559_163
N=71225138367924136010267313181437346335691828098966491819426258467019252050157999352898669357301011365541969360411874026611597065566196381742022339345677697241
  ( 158 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=25778848989417544654934256120521125874420343960707 (pp50)
 r2=2762929345571740322128112637154510922635299889284102375928162038568887390516964428650356422420285771265986163 (pp109)
Version: Msieve v. 1.42
Total time: 2.40 hours.
Scaled time: 1.69 units (timescale=0.703).
Factorization parameters were as follows:
name: 75559_163
n: 71225138367924136010267313181437346335691828098966491819426258467019252050157999352898669357301011365541969360411874026611597065566196381742022339345677697241
m: 200000000000000000000000000000000
deg: 5
c5: 2125
c0: 31
skew: 0.43
type: snfs
lss: 1
rlim: 3900000
alim: 3900000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3900000/3900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1950000, 3850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 785034 x 785259
Total sieving time: 0.00 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.93 hours.
Time per square root: 0.36 hours.
Prototype def-par.txt line would be:
snfs,164.000,5,0,0,0,0,0,0,0,0,3900000,3900000,27,27,51,51,2.4,2.4,100000
total time: 2.40 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.. 3721.24 BogoMIPS (lpj=1860624)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860570)
Total of 2 processors activated (7442.38 BogoMIPS).

Total time: 31 hours.

1608804460096264378397138672011294778460135931245695716306215962284303423588589631099121957471146989732262216127192715757819174215713855657<139>

12456433658200646576551030208059675421152951528393<50>
129154499934827973065985174702694429705210617787771915035493438889553045978062114376250849<90>

Number: 75559_164
N=1608804460096264378397138672011294778460135931245695716306215962284303423588589631099121957471146989732262216127192715757819174215713855657
  ( 139 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=12456433658200646576551030208059675421152951528393 (pp50)
 r2=129154499934827973065985174702694429705210617787771915035493438889553045978062114376250849 (pp90)
Version: Msieve v. 1.42
Total time: 3.09 hours.
Scaled time: 2.46 units (timescale=0.796).
Factorization parameters were as follows:
name: 75559_164
n: 1608804460096264378397138672011294778460135931245695716306215962284303423588589631099121957471146989732262216127192715757819174215713855657
m: 200000000000000000000000000000000
deg: 5
c5: 21250
c0: 31
skew: 0.27
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, 4350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 764544 x 764770
Total sieving time: 0.00 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.92 hours.
Time per square root: 1.07 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: 3.09 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.. 3721.24 BogoMIPS (lpj=1860624)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860570)
Total of 2 processors activated (7442.38 BogoMIPS).

Total time: 44 hours.

35489120224403338841925407137637722809784841962769431290083937930657358910066076154232663077276975153524038822211799334563878024169679019089293701650309<152>

355674358958133667312286015130322307809<39>
99779810747000611292804702833771932629254341695881031817521506471158875969541001472182835108014909843805173982501<113>

Number: 75559_165
N=35489120224403338841925407137637722809784841962769431290083937930657358910066076154232663077276975153524038822211799334563878024169679019089293701650309
  ( 152 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=355674358958133667312286015130322307809 (pp39)
 r2=99779810747000611292804702833771932629254341695881031817521506471158875969541001472182835108014909843805173982501 (pp113)
Version: Msieve-1.40
Total time: 35.20 hours.
Scaled time: 114.64 units (timescale=3.257).
Factorization parameters were as follows:
name: 75559_165
n: 35489120224403338841925407137637722809784841962769431290083937930657358910066076154232663077276975153524038822211799334563878024169679019089293701650309
m: 1000000000000000000000000000000000
deg: 5
c5: 68
c0: 31
skew: 0.85
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2100000, 3900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 693578 x 693826
Total sieving time: 33.81 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.92 hours.
Time per square root: 0.37 hours.
Prototype def-par.txt line would be:
snfs,166.000,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
total time: 35.20 hours.
 --------- CPU info (if available) ----------

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

40275426073432054519455343303999221015666221031711393090432303957020471302864549638642554687143352774795306095896437787770386278095668353828113<143>

80578744760952371427373514535631543928015879732632635221<56>
499826923252707587090953960357185439895492244316199608904802281442000101723938708213453<87>

Number: 75559_166
N=40275426073432054519455343303999221015666221031711393090432303957020471302864549638642554687143352774795306095896437787770386278095668353828113
  ( 143 digits)
SNFS difficulty: 167 digits.
Divisors found:
 r1=80578744760952371427373514535631543928015879732632635221 (pp56)
 r2=499826923252707587090953960357185439895492244316199608904802281442000101723938708213453 (pp87)
Version: Msieve-1.40
Total time: 42.54 hours.
Scaled time: 135.06 units (timescale=3.175).
Factorization parameters were as follows:
name: 75559_166
n: 40275426073432054519455343303999221015666221031711393090432303957020471302864549638642554687143352774795306095896437787770386278095668353828113
m: 1000000000000000000000000000000000
deg: 5
c5: 680
c0: 31
skew: 0.54
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2200000, 4300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 819350 x 819597
Total sieving time: 41.03 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.33 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,167.000,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,51,51,2.4,2.4,100000
total time: 42.54 hours.
 --------- CPU info (if available) ----------

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

1808655750876390784791849659204339265925239910396022260759891764309537335793691228107320268698942387056203487507308088940610084794488998308108346734625877<154>

283457397852751160484971888415241693410618565899738552068007784484183<69>
6380696939213211166173503335703558581536931090717054727194131090693849301100761760819<85>

Number: 75559_169
N=1808655750876390784791849659204339265925239910396022260759891764309537335793691228107320268698942387056203487507308088940610084794488998308108346734625877
  ( 154 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=283457397852751160484971888415241693410618565899738552068007784484183 (pp69)
 r2=6380696939213211166173503335703558581536931090717054727194131090693849301100761760819 (pp85)
Version: Msieve-1.40
Total time: 86.51 hours.
Scaled time: 178.39 units (timescale=2.062).
Factorization parameters were as follows:
name: 75559_169
n: 1808655750876390784791849659204339265925239910396022260759891764309537335793691228107320268698942387056203487507308088940610084794488998308108346734625877
m: 2000000000000000000000000000000000
deg: 5
c5: 21250
c0: 31
skew: 0.27
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
Max factor residue bits: 52/52
Sieved rational special-q in [2450000, 5950001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 952597 x 952845
Total sieving time: 84.07 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 2.16 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,170.000,5,0,0,0,0,0,0,0,0,4900000,4900000,27,27,52,52,2.4,2.4,100000
total time: 86.51 hours.
 --------- CPU info (if available) ----------

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

3649977317895785454994504472337118641446834205868785185896094136059214636230315655472536070994030281765296982479747955225070883834749334416128257412365672061<157>

15840405386799905351321705220166339554928888871637832480189<59>
230421963880885093215892007161547800242304721770828964323069609751493065355934583868511037346445249<99>

Number: 75559_170
N=3649977317895785454994504472337118641446834205868785185896094136059214636230315655472536070994030281765296982479747955225070883834749334416128257412365672061
  ( 157 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=15840405386799905351321705220166339554928888871637832480189
 r2=230421963880885093215892007161547800242304721770828964323069609751493065355934583868511037346445249
Version: 
Total time: 68.71 hours.
Scaled time: 138.31 units (timescale=2.013).
Factorization parameters were as follows:
n: 3649977317895785454994504472337118641446834205868785185896094136059214636230315655472536070994030281765296982479747955225070883834749334416128257412365672061
m: 10000000000000000000000000000000000
deg: 5
c5: 68
c0: 31
skew: 0.85
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2550000, 4750001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 671541 x 671789
Total sieving time: 68.71 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 68.71 hours.
 --------- CPU info (if available) ----------

39040707289273632778460620598250163172596246131130887288115703980282481446207369953449209<89>

17998619623946360963314395459037<32>
2169094525300802085514298231855791592637762096538512529357<58>

Number: test
N=39040707289273632778460620598250163172596246131130887288115703980282481446207369953449209
  ( 89 digits)
Divisors found:
 r1=17998619623946360963314395459037 (pp32)
 r2=2169094525300802085514298231855791592637762096538512529357 (pp58)
Version: Msieve v. 1.43
Total time: 0.70 hours.
Scaled time: 0.75 units (timescale=1.076).
Factorization parameters were as follows:
n: 39040707289273632778460620598250163172596246131130887288115703980282481446207369953449209
Y0: -1746073688868271112858
Y1:  252961618559
c0: -256162282805196755758395
c1: -22214361751002378816
c2:  151155225501513
c3:  1209185578
c4:  4200
skew: 144860.53
type: gnfs
Factor base limits: 600000/600000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [300000, 590001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 69676 x 69908
Total sieving time: 0.65 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,88,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,600000,600000,25,25,43,43,2.2,2.2,10000
total time: 0.70 hours.
 --------- CPU info (if available) ----------

GGNFS via factMsieve.pl and msieve v1.43

Core 2 Duo 2.2Ghz, Windows XP 32-bit with Cygwin

2418331539984909683027852728858694391948257474501067715741912069182647900443863585938543383112829491682320590625286900433966320110454138825506895220568843923<157>

1511713810285513565157963808758171631103<40>
1599728416536834785902972522070621068904029913664440014278464647023235611831792121484768285183895203711350218917592941<118>

Number: n
N=2418331539984909683027852728858694391948257474501067715741912069182647900443863585938543383112829491682320590625286900433966320110454138825506895220568843923
  ( 157 digits)
SNFS difficulty: 173 digits.
Divisors found:

Sun Jun  6 06:28:19 2010  prp40 factor: 1511713810285513565157963808758171631103
Sun Jun  6 06:28:19 2010  prp118 factor: 1599728416536834785902972522070621068904029913664440014278464647023235611831792121484768285183895203711350218917592941
Sun Jun  6 06:28:19 2010  elapsed time 02:19:23 (Msieve 1.42 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=0.884).
Factorization parameters were as follows:
name: KA_7_5_171_9
n: 2418331539984909683027852728858694391948257474501067715741912069182647900443863585938543383112829491682320590625286900433966320110454138825506895220568843923
m: 10000000000000000000000000000000000
deg: 5
c5: 6800
c0: 31
skew: 0.34
type: snfs
lss: 1
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 7650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1282185 hash collisions in 11369508 relations
Msieve: matrix is 1016458 x 1016686 (288.3 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,173,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2034788k/2097088k available (3786k kernel code, 388k absent, 61912k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6026.89 BogoMIPS (lpj=3013446)
Calibrating delay using timer specific routine.. 6026.96 BogoMIPS (lpj=3013483)
Total of 2 processors activated (12053.85 BogoMIPS).

75555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555559<176>

2395077095051138005564156368083<31>

31546189353016357224564862995555330888487788293584943389741151999434894927794867842480812908434983535500345668123938555034082331612238410469068573<146>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=1622233251
Step 1 took 9197ms
Step 2 took 4668ms
********** Factor found in step 2: 2395077095051138005564156368083
Found probable prime factor of 31 digits: 2395077095051138005564156368083
Composite cofactor has 146 digits

31546189353016357224564862995555330888487788293584943389741151999434894927794867842480812908434983535500345668123938555034082331612238410469068573<146>

53565072385075251328810654692779057<35>
588932077347589293342933613425803116120293162351120862757686128076219759138379641631844208351380356322309372589<111>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1539116561
Step 1 took 6896ms
Step 2 took 4945ms
********** Factor found in step 2: 53565072385075251328810654692779057
Found probable prime factor of 35 digits: 53565072385075251328810654692779057
Probable prime cofactor 588932077347589293342933613425803116120293162351120862757686128076219759138379641631844208351380356322309372589 has 111 digits

GMP-ECM 6.3

50520805675637463215076112469216980572057037216131090958719557212455038440370001832918831962796947061961777129603383868387639267948419146898640599235563198927055791<164>

13865253947605103475050470618663265121820537<44>
3643698547934907763120275866088448875539173984364806564306268112236016643991096264265112066755084102622553968840760087143<121>

N=50520805675637463215076112469216980572057037216131090958719557212455038440370001832918831962796947061961777129603383868387639267948419146898640599235563198927055791
  ( 164 digits)
SNFS difficulty: 179 digits.
Divisors found:
 r1=13865253947605103475050470618663265121820537 (pp44)
 r2=3643698547934907763120275866088448875539173984364806564306268112236016643991096264265112066755084102622553968840760087143 (pp121)
Version: Msieve-1.40
Total time: 111.15 hours.
Scaled time: 216.31 units (timescale=1.946).
Factorization parameters were as follows:
n: 50520805675637463215076112469216980572057037216131090958719557212455038440370001832918831962796947061961777129603383868387639267948419146898640599235563198927055791
m: 200000000000000000000000000000000000
deg: 5
c5: 2125
c0: 31
skew: 0.43
type: snfs
lss: 1
rlim: 7000000
alim: 7000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 320000Factor 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, 8940001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1351014 x 1351242
Total sieving time: 108.94 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.89 hours.
Time per square root: 0.17 hours.
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: 111.15 hours.
 --------- CPU info (if available) ----------

7575330619941617806684816115543271291132602999530081977393338178577326307991330775310172257039105276549847622160165769<118>

258066863061368673931477613551<30>
29354139195082141211917678319243515801342895038289724444976007355651453496395322481293319<89>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=3068496294
Step 1 took 5717ms
Step 2 took 3392ms
********** Factor found in step 2: 258066863061368673931477613551
Found probable prime factor of 30 digits: 258066863061368673931477613551
Probable prime cofactor has 89 digits

11287671460626862405496713235084650013229867168718448839445354684844867480404556273347211186306879547699631449931855971964170732585447984294869035560172687818249190178341<170>

30892551616236923436025340800976589698117921459723521<53>
365384886326260469256168517135197155830225315971710619255638776419688734963343780011567192402808738784999893201456421<117>

Number: n
N=11287671460626862405496713235084650013229867168718448839445354684844867480404556273347211186306879547699631449931855971964170732585447984294869035560172687818249190178341
  ( 170 digits)
SNFS difficulty: 182 digits.
Divisors found:

Mon Feb 20 20:36:43 2012  prp53 factor: 30892551616236923436025340800976589698117921459723521
Mon Feb 20 20:36:43 2012  prp117 factor: 365384886326260469256168517135197155830225315971710619255638776419688734963343780011567192402808738784999893201456421
Mon Feb 20 20:36:43 2012  elapsed time 02:27:04 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.658).
Factorization parameters were as follows:
name: KA_75559_181
n: 11287671460626862405496713235084650013229867168718448839445354684844867480404556273347211186306879547699631449931855971964170732585447984294869035560172687818249190178341
m: 1000000000000000000000000000000000000
#  c170, diff: 182.83
skew: 0.54
deg: 5
c5: 680
c0: 31
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 13100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 6116160 hash collisions in 78978229 relations (75776953 unique)
Msieve: matrix is 1096763 x 1097011 (301.8 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5595.76 BogoMIPS (lpj=2797881)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
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.. 5595.10 BogoMIPS (lpj=2797552)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Total of 8 processors activated (44761.52 BogoMIPS).

1297228881395028315072575789234915533477727010100526215941983256199374077724182953515593161656326603550174158562250539520216095919920657891693196728152214563827037573484547<172>

126020574435796071528498255528304630987754278467012391916801053328594136540377<78>
10293786448782852072549026342962091672293802694667999893350815531640258168509886632408754545211<95>

N=1297228881395028315072575789234915533477727010100526215941983256199374077724182953515593161656326603550174158562250539520216095919920657891693196728152214563827037573484547
  ( 172 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=126020574435796071528498255528304630987754278467012391916801053328594136540377 (pp78)
 r2=10293786448782852072549026342962091672293802694667999893350815531640258168509886632408754545211 (pp95)
Version: Msieve v. 1.47
Total time:
Scaled time: 34.34 units (timescale=1.351).
Factorization parameters were as follows:
n: 1297228881395028315072575789234915533477727010100526215941983256199374077724182953515593161656326603550174158562250539520216095919920657891693196728152214563827037573484547
m: 1000000000000000000000000000000000000
deg: 5
c5: 6800
c0: 31
skew: 0.34
type: snfs
lss: 1
rlim: 8100000
alim: 8100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 8100000/8100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [4050000, 11250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1508762 x 1508990
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,183.000,5,0,0,0,0,0,0,0,0,8100000,8100000,28,28,53,53,2.5,2.5,100000
total time:

247520864288237795126511852360532502615574007465478813144522948238437263311885199506689003825879230018636443642127548122938854741851999617020002039612320369071967079<165>

1500547032025407294835021149944478071268263<43>

164953752868471747104318270340806560705451109772340985479966979342909432581542259172270549461316299403442890142954323808833<123>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1915929502
Step 1 took 73466ms
Step 2 took 27270ms
********** Factor found in step 2: 1500547032025407294835021149944478071268263
Found probable prime factor of 43 digits: 1500547032025407294835021149944478071268263

164953752868471747104318270340806560705451109772340985479966979342909432581542259172270549461316299403442890142954323808833<123>

661655977199274612098656251197749970613985041419185441<54>
249304409773043896424002985083997763054764804947150081971644028494113<69>

N = 164953752868471747104318270340806560705451109772340985479966979342909432581542259172270549461316299403442890142954323808833 (123 digits)
Divisors found:
r1=661655977199274612098656251197749970613985041419185441 (pp54)
r2=249304409773043896424002985083997763054764804947150081971644028494113 (pp69)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 11.03 hours.
Factorization parameters were as follows:
n: 164953752868471747104318270340806560705451109772340985479966979342909432581542259172270549461316299403442890142954323808833
Y0: -593289117606489728854431
Y1: 12741606542119
c0: 6130540005631334960981650016800
c1: -99377686030782141741399430
c2: -887566980659514889923
c3: 803364749131690
c4: 1789084994
c5: 2244
skew: 416805.40 
type: gnfs
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10592704
Relations: 1577584 relations
Pruned matrix : 883848 x 884096
Polynomial selection time: 0.00 hours.
Total sieving time: 10.29 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.63 hours.
time per square root: 0.06 hours.
Prototype def-par.txt line would be: gnfs,122,5,65,2000,1e-05,0.28,250,20,50000,3600,4900000,4900000,27,27,53,53,2.5,2.5,100000
total time: 11.03 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

5379007919154410815903965494819684165029618594960603180375501337746178963098066874353226235212765599994897642423893769280138941228775664843516058897669<151>

68768150972992151848173316123639116791968840996837<50>
78219464142157177178903629144634491379771133337371455585528827916519136730339016775088288954156863137<101>

Number: 75559_185
N=5379007919154410815903965494819684165029618594960603180375501337746178963098066874353226235212765599994897642423893769280138941228775664843516058897669
  ( 151 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=68768150972992151848173316123639116791968840996837
 r2=78219464142157177178903629144634491379771133337371455585528827916519136730339016775088288954156863137
Version: 
Total time: 64.88 hours.
Scaled time: 327.76 units (timescale=5.052).
Factorization parameters were as follows:
n: 5379007919154410815903965494819684165029618594960603180375501337746178963098066874353226235212765599994897642423893769280138941228775664843516058897669
m: 10000000000000000000000000000000000000
deg: 5
c5: 68
c0: 31
skew: 0.85
# Murphy_E = 6.895e-11
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4200000, 7000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20085959
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1571768 x 1572016
Total sieving time: 60.05 hours.
Total relation processing time: 1.50 hours.
Matrix solve time: 3.03 hours.
Time per square root: 0.30 hours.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,54,54,2.5,2.5,100000
total time: 64.88 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.70 BogoMIPS (lpj=3399852)
Total of 12 processors activated (81596.44 BogoMIPS).

GGNFS / Msieve v1.39

Core i7-4930K

16866493280973647886543309738143535031438560474548646476789321908928980473777026572060905104820072607357811<107>

326568730824902543653264769<27>
51647606426890308730412703024277866243030127704629761779578541731368384143448819<80>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=2767676763
Step 1 took 4700ms
Step 2 took 2968ms
********** Factor found in step 2: 326568730824902543653264769
Found probable prime factor of 27 digits: 326568730824902543653264769
Probable prime cofactor has 80 digits

1458067692074731551683857307288969235192900655356974776451969984423449675471489633759660377712328965813757436930299998594523077375424351<136>

2298683100260253561818652847193363<34>
634305656099203602881285405986852933105811520273616902778259645317827011454304564091556554076892815877<102>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=673779193
Step 1 took 42962ms
Step 2 took 14876ms
********** Factor found in step 2: 2298683100260253561818652847193363
Found probable prime factor of 34 digits: 2298683100260253561818652847193363
Probable prime cofactor 634305656099203602881285405986852933105811520273616902778259645317827011454304564091556554076892815877 has 102 digits

GMP-ECM 6.2.1

6868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686869<190>

218985330959504053823593525734323<33>
5092956660505740788098893431776280424952779030055428423082471986482123<70>
6158695238130640583240273510772375788386683943292063284132921579018168346394759313282661<88>

Number: n
N=6868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686869
  ( 190 digits)
SNFS difficulty: 191 digits.
Divisors found:

Fri Jan  8 12:46:00 2010  prp33 factor: 218985330959504053823593525734323
Fri Jan  8 12:46:00 2010  prp70 factor: 5092956660505740788098893431776280424952779030055428423082471986482123
Fri Jan  8 12:46:00 2010  prp88 factor: 6158695238130640583240273510772375788386683943292063284132921579018168346394759313282661
Fri Jan  8 12:46:00 2010  elapsed time 05:23:48 (Msieve 1.42 - dependency 2)

Version: GGNFS-0.77.1-20050930-k8
Total time: ~ 24.00 hours.
Scaled time: 0.00 units (timescale=0.841).
Factorization parameters were as follows:
name: KA_7_5_189_9
n: 6868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686869
m: 100000000000000000000000000000000000000
deg: 5
c5: 68
c0: 31
skew: 0.85
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, 100000)
Primes: RFBsize:726517, AFBsize:726114, 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2791575 hash collisions in 26655960 relations
Msieve: matrix is 1441119 x 1441344 (390.2 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,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) ----------

29343828855744357847982591658999282279410103336181655290044363550721035503408648742637175690348293349915006694791106200084378489412943265538939177546423708064183266167800280037<176>

34508866264391124116877179510727595410622151870379860940394065654521<68>
850327235642150169447984689466405561558206606138513910026306757404975863572845491770987099854314354228811597<108>

p68 factor: 34508866264391124116877179510727595410622151870379860940394065654521
p108 factor: 850327235642150169447984689466405561558206606138513910026306757404975863572845491770987099854314354228811597


Msieve v. 1.54 (SVN 1032M)
random seeds: d836d303 0b838dca
factoring 29343828855744357847982591658999282279410103336181655290044363550721035503408648742637175690348293349915006694791106200084378489412943265538939177546423708064183266167800280037 (176 digits)
searching for 15-digit factors
commencing number field sieve (176-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: 31
A1: 0
A2: 0
A3: 0
A4: 0
A5: 6800
skew 1.00, size 1.308e-13, alpha -0.806, combined = 2.359e-11 rroots = 1

commencing relation filtering
estimated available RAM is 48213.5 MB
commencing duplicate removal, pass 1
found 2429691 hash collisions in 37813039 relations
added 726577 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 38539616 unique relations
memory use: 98.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1258.9 MB
keeping 40571943 ideals with weight <= 200, target excess is 205848
commencing in-memory singleton removal
begin with 38539616 relations and 40571943 unique ideals
reduce to 15333035 relations and 13488205 ideals in 17 passes
max relations containing the same ideal: 111
removing 2049252 relations and 1649252 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 13283783 relations and 13488205 unique ideals
reduce to 13058034 relations and 11605482 ideals in 8 passes
max relations containing the same ideal: 100
removing 1639146 relations and 1239146 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 11418888 relations and 11605482 unique ideals
reduce to 11251128 relations and 10193243 ideals in 9 passes
max relations containing the same ideal: 94
removing 1534602 relations and 1134602 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 9716526 relations and 10193243 unique ideals
reduce to 9540317 relations and 8876623 ideals in 8 passes
max relations containing the same ideal: 84
removing 1512289 relations and 1112289 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 8028028 relations and 8876623 unique ideals
reduce to 7819061 relations and 7547205 ideals in 9 passes
max relations containing the same ideal: 73
removing 216301 relations and 183229 ideals in 33072 cliques
commencing in-memory singleton removal
begin with 7602760 relations and 7547205 unique ideals
reduce to 7598398 relations and 7359587 ideals in 6 passes
max relations containing the same ideal: 72
relations with 0 large ideals: 4434
relations with 1 large ideals: 11854
relations with 2 large ideals: 97121
relations with 3 large ideals: 434747
relations with 4 large ideals: 1158965
relations with 5 large ideals: 1921075
relations with 6 large ideals: 2067230
relations with 7+ large ideals: 1902972
commencing 2-way merge
reduce to 4702179 relation sets and 4463368 unique ideals
commencing full merge
memory use: 518.0 MB
found 2192790 cycles, need 2165568
weight of 2165568 cycles is about 195162717 (90.12/cycle)
distribution of cycle lengths:
1 relations: 178273
2 relations: 178280
3 relations: 186155
4 relations: 185010
5 relations: 180963
6 relations: 169704
7 relations: 161084
8 relations: 145975
9 relations: 131556
10+ relations: 648568
heaviest cycle: 26 relations
commencing cycle optimization
start with 16004428 relations
pruned 543509 relations
memory use: 473.7 MB
distribution of cycle lengths:
1 relations: 178273
2 relations: 182542
3 relations: 193314
4 relations: 191244
5 relations: 188012
6 relations: 175449
7 relations: 166431
8 relations: 149804
9 relations: 134544
10+ relations: 605955
heaviest cycle: 25 relations
RelProcTime: 714
elapsed time 00:11:56


Msieve v. 1.54 (SVN 1032M)
random seeds: 917a2cc3 0760843e
factoring 29343828855744357847982591658999282279410103336181655290044363550721035503408648742637175690348293349915006694791106200084378489412943265538939177546423708064183266167800280037 (176 digits)
searching for 15-digit factors
commencing number field sieve (176-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: 31
A1: 0
A2: 0
A3: 0
A4: 0
A5: 6800
skew 1.00, size 1.308e-13, alpha -0.806, combined = 2.359e-11 rroots = 1

commencing linear algebra
read 2165568 cycles
cycles contain 7444626 unique relations
read 7444626 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 915.6 MB
read 2165568 cycles
matrix is 2165390 x 2165568 (795.7 MB) with weight 234821731 (108.43/col)
sparse part has weight 184758890 (85.32/col)
filtering completed in 2 passes
matrix is 2164785 x 2164963 (795.6 MB) with weight 234797526 (108.45/col)
sparse part has weight 184749318 (85.34/col)
matrix starts at (0, 0)
matrix is 2164785 x 2164963 (795.6 MB) with weight 234797526 (108.45/col)
sparse part has weight 184749318 (85.34/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2164737 x 2164963 (757.9 MB) with weight 193303886 (89.29/col)
sparse part has weight 177023046 (81.77/col)
using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
commencing Lanczos iteration (12 threads)
memory use: 718.2 MB
linear algebra at 0.1%, ETA 1h34m
checkpointing every 1460000 dimensions
lanczos halted after 34235 iterations (dim = 2164737)
recovered 40 nontrivial dependencies
BLanczosTime: 4923
elapsed time 01:22:05


Msieve v. 1.54 (SVN 1032M)
random seeds: b90cc6f7 842a5a20
factoring 29343828855744357847982591658999282279410103336181655290044363550721035503408648742637175690348293349915006694791106200084378489412943265538939177546423708064183266167800280037 (176 digits)
searching for 15-digit factors
commencing number field sieve (176-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: 31
A1: 0
A2: 0
A3: 0
A4: 0
A5: 6800
skew 1.00, size 1.308e-13, alpha -0.806, combined = 2.359e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1082059 cycles
cycles contain 3721680 unique relations
read 3721680 relations
multiplying 3721680 relations
multiply complete, coefficients have about 127.12 million bits
initial square root is modulo 1331811311
Newton iteration failed to converge
algebraic square root failed
reading relations for dependency 2
read 1082968 cycles
cycles contain 3723242 unique relations
read 3723242 relations
multiplying 3723242 relations
multiply complete, coefficients have about 127.18 million bits
initial square root is modulo 1343854481
GCD is N, no factor found
reading relations for dependency 3
read 1082271 cycles
cycles contain 3722238 unique relations
read 3722238 relations
multiplying 3722238 relations
multiply complete, coefficients have about 127.14 million bits
initial square root is modulo 1335945151
Newton iteration failed to converge
algebraic square root failed
reading relations for dependency 4
read 1083213 cycles
cycles contain 3725992 unique relations
read 3725992 relations
multiplying 3725992 relations
multiply complete, coefficients have about 127.27 million bits
initial square root is modulo 1364483531
GCD is N, no factor found
reading relations for dependency 5
read 1082495 cycles
cycles contain 3723200 unique relations
read 3723200 relations
multiplying 3723200 relations
multiply complete, coefficients have about 127.18 million bits
initial square root is modulo 1343586341
sqrtTime: 1554
p68 factor: 34508866264391124116877179510727595410622151870379860940394065654521
p108 factor: 850327235642150169447984689466405561558206606138513910026306757404975863572845491770987099854314354228811597
elapsed time 00:25:56

CADO-NFS/Msieve

170359402372581128034248972804731396957457319053198295167383665799428615626965773182371376003415209309623827022070239577024389692469131508338517023202295173415272101254789881499<177>

27906495474028538916684736116640487533160323<44>
6104650529520190798909971573960106956476339607287843374548626632161411659445449294419935455387549798224348223872693070971098575055113<133>

Number: n
N=170359402372581128034248972804731396957457319053198295167383665799428615626965773182371376003415209309623827022070239577024389692469131508338517023202295173415272101254789881499  ( 177 digits)
SNFS difficulty: 194 digits.
Divisors found:

Wed Mar  3 20:36:02 2021  p44 factor: 27906495474028538916684736116640487533160323
Wed Mar  3 20:36:02 2021  p133 factor: 6104650529520190798909971573960106956476339607287843374548626632161411659445449294419935455387549798224348223872693070971098575055113
Wed Mar  3 20:36:02 2021  elapsed time 01:05:07 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.324).
Factorization parameters were as follows:
#
# N = 68x10^193+31 = 75(192)9
#
n: 170359402372581128034248972804731396957457319053198295167383665799428615626965773182371376003415209309623827022070239577024389692469131508338517023202295173415272101254789881499
m: 200000000000000000000000000000000000000
deg: 5
c5: 2125
c0: 31
skew: 0.43
# Murphy_E = 2.44e-11
type: snfs
lss: 1
rlim: 12400000
alim: 12400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12400000/12400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4020369 hash collisions in 30271818 relations (27877394 unique)
Msieve: matrix is 1551341 x 1551566 (541.0 MB)

Sieving start time : 2021/03/03 13:45:39
Sieving end time  : 2021/03/03 19:30:17

Total sieving time: 5hrs 44min 38secs.

Total relation processing time: 0hrs 45min 40sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 10min 40sec.

Prototype def-par.txt line would be:
snfs,194,5,0,0,0,0,0,0,0,0,12400000,12400000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116378] 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)
[    0.154161] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.20 BogoMIPS (lpj=12798400)
[    0.152017] smpboot: Total of 16 processors activated (102387.20 BogoMIPS)

1144198972255625777802569458283838372054636760595104541815606235111829824992517576919481837673651599014431846812593758858432062521082978095994356216323411<154>

6527104180074790823823263960329<31>
175299633756192776714347977273494435251825486807154468473423752435178471398852792874539132883424617670373803966197520616059<123>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3448174446
Step 1 took 47125ms
Step 2 took 16866ms
********** Factor found in step 2: 6527104180074790823823263960329
Found probable prime factor of 31 digits: 6527104180074790823823263960329
Probable prime cofactor 175299633756192776714347977273494435251825486807154468473423752435178471398852792874539132883424617670373803966197520616059 has 123 digits

GMP-ECM 6.2.1

120935496963785019774303334295070639552439545271439107226968797166556179518283074189803370735646030669949527175401624242335062004973030751300760943684371594461589215168425289<174>

62146349179330161928178310321817404451<38>
1945979105141192956330896863670466005854757882918468505318882787757048386297364595435342072045757868991865991904369775520394807761336739<136>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2788420066
Step 1 took 58891ms
Step 2 took 19956ms
********** Factor found in step 2: 62146349179330161928178310321817404451
Found probable prime factor of 38 digits: 62146349179330161928178310321817404451
Probable prime cofactor 1945979105141192956330896863670466005854757882918468505318882787757048386297364595435342072045757868991865991904369775520394807761336739 has 136 digits

GMP-ECM 6.2.1

19382059238445599065536022078849480292680008661390309612290516925899136888362004689705713722169686880984949565220120596154370436132583084088364977369161843662807241<164>

1340227008008916101931664086641<31>
14461773358261301670590673741839234912055357277569670725076394154519032743625390671444785993327859751783665576767627807733906861296601<134>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=271035998
Step 1 took 52071ms
Step 2 took 17873ms
********** Factor found in step 2: 1340227008008916101931664086641
Found probable prime factor of 31 digits: 1340227008008916101931664086641
Probable prime cofactor 14461773358261301670590673741839234912055357277569670725076394154519032743625390671444785993327859751783665576767627807733906861296601 has 134 digits

GMP-ECM 6.2.1

34287908015777116393717952221698653708866497645532631313489428350205008045711306965214838742057462283089563277965532668965858786053833443818876660769342171507222463663<167>

218563302490443932224093787071223077371684269515264422298452229895599<69>
156878614227913485448318288537670691621141524530235480702340710447761529242155611842008289730273537<99>

Number: n
N=34287908015777116393717952221698653708866497645532631313489428350205008045711306965214838742057462283089563277965532668965858786053833443818876660769342171507222463663  ( 167 digits)
SNFS difficulty: 202 digits.
Divisors found:

Fri Jan 28 11:54:14 2022  p69 factor: 218563302490443932224093787071223077371684269515264422298452229895599
Fri Jan 28 11:54:14 2022  p99 factor: 156878614227913485448318288537670691621141524530235480702340710447761529242155611842008289730273537
Fri Jan 28 11:54:14 2022  elapsed time 01:32:27 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.317).
Factorization parameters were as follows:
#
# N = 68x10^201+31 = 75(200)9
#
n: 34287908015777116393717952221698653708866497645532631313489428350205008045711306965214838742057462283089563277965532668965858786053833443818876660769342171507222463663
m: 10000000000000000000000000000000000000000
deg: 5
c5: 680
c0: 31
skew: 0.54
# Murphy_E = 1.306e-11
type: snfs
lss: 1
rlim: 16800000
alim: 16800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 16800000/16800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 28400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4866651 hash collisions in 32125042 relations (28816733 unique)
Msieve: matrix is 2006643 x 2006869 (700.0 MB)

Sieving start time : 2022/01/27 23:52:25
Sieving end time  : 2022/01/28 10:21:08

Total sieving time: 10hrs 28min 43secs.

Total relation processing time: 1hrs 18min 28sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 8sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16800000,16800000,28,28,55,55,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119028] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved)
[    0.153529] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.04 BogoMIPS (lpj=12798084)
[    0.152048] smpboot: Total of 16 processors activated (102384.67 BogoMIPS)

3716136787774028192327429290730089590221643432037847589908338219528157362171911703519865636586315465366665717768772483725683994759254864513897914463478014290136634944246223<172>

125242781615706258349746620827256651899<39>
29671464812851142395589950545945711498995215843851539123755549290033242316267794074253425535663937100120364370037895633508534922950077<134>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1584736896
Step 1 took 71751ms
Step 2 took 27138ms
********** Factor found in step 2: 125242781615706258349746620827256651899
Found probable prime factor of 39 digits: 125242781615706258349746620827256651899

4516617422050387406720776589524300263357157265371935300614302913443027484858674521842540474036945316688322374215939585266522777354318436642026436499063923087185034593619751<172>

6271204044409194467538398073930231914578951360568162036006871419497768583731079<79>
720215351002168614760266877001138606225362353309091375400213767378646888976595837441193980769<93>

Number: n
N=4516617422050387406720776589524300263357157265371935300614302913443027484858674521842540474036945316688322374215939585266522777354318436642026436499063923087185034593619751  ( 172 digits)
SNFS difficulty: 206 digits.
Divisors found:

Sun Apr 21 19:10:28 2024  prp79 factor: 6271204044409194467538398073930231914578951360568162036006871419497768583731079
Sun Apr 21 19:10:28 2024  prp93 factor: 720215351002168614760266877001138606225362353309091375400213767378646888976595837441193980769
Sun Apr 21 19:10:28 2024  elapsed time 02:31:40 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.904).
Factorization parameters were as follows:
#
# N = 68x10^205+31 = 75(204)9
#
n: 4516617422050387406720776589524300263357157265371935300614302913443027484858674521842540474036945316688322374215939585266522777354318436642026436499063923087185034593619751
m: 100000000000000000000000000000000000000000
deg: 5
c5: 68
c0: 31
skew: 0.85
# Murphy_E = 1.019e-11
type: snfs
lss: 1
rlim: 19600000
alim: 19600000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19600000/19600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4074384 hash collisions in 20904364 relations (17123285 unique)
Msieve: matrix is 2168156 x 2168381 (615.7 MB)

Sieving start time: 2024/04/21 01:18:17
Sieving end time  : 2024/04/21 16:37:59

Total sieving time: 15hrs 19min 42secs.

Total relation processing time: 2hrs 23min 22sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 36sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19600000,19600000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

4716562985735679064030650090552952647698227279726103417276329550885956432743135527540975559499133120640556974818261091159899591134720534547213224768055357495289977<163>

856543340247482334484147613225001320901521<42>
5506508268890299868293198396243308409971461395319311606720474017958794394050923493817346377461255793627936766808595589737<121>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3166810939
Step 1 took 73781ms
Step 2 took 26441ms
********** Factor found in step 2: 856543340247482334484147613225001320901521
Found probable prime factor of 42 digits: 856543340247482334484147613225001320901521

2816154828011071282892770976615156157101694422526160215299081049480112465299559507403130806741092211392071299876508884649507514100766697153252716183524223140905907490781397<172>

1315381718353552825709621312515243449975655201<46>
10731695595723638592446973427059937463506353138192340667<56>
199497005399893222414747159233287899483191851301226921265864515325238991<72>

12/02/24 22:25:23 v1.34.5 @ TRIGKEY,
12/02/24 22:25:23 v1.34.5 @ TRIGKEY, ****************************
12/02/24 22:25:23 v1.34.5 @ TRIGKEY, Starting factorization of 680000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000031
12/02/24 22:25:23 v1.34.5 @ TRIGKEY, using pretesting plan: normal
12/02/24 22:25:23 v1.34.5 @ TRIGKEY, no tune info: using qs/gnfs crossover of 100 digits
12/02/24 22:25:23 v1.34.5 @ TRIGKEY, ****************************
12/02/24 22:25:23 v1.34.5 @ TRIGKEY, div: found prime factor = 3
12/02/24 22:25:23 v1.34.5 @ TRIGKEY, div: found prime factor = 3
12/02/24 22:25:23 v1.34.5 @ TRIGKEY, div: found prime factor = 11
12/02/24 22:25:23 v1.34.5 @ TRIGKEY, div: found prime factor = 11
12/02/24 22:25:23 v1.34.5 @ TRIGKEY, div: found prime factor = 347
12/02/24 22:25:23 v1.34.5 @ TRIGKEY, rho: x^2 + 3, starting 1000 iterations on C205
12/02/24 22:25:23 v1.34.5 @ TRIGKEY, rho: x^2 + 2, starting 1000 iterations on C205
12/02/24 22:25:23 v1.34.5 @ TRIGKEY, rho: x^2 + 1, starting 1000 iterations on C205
12/02/24 22:25:23 v1.34.5 @ TRIGKEY, pm1: starting B1 = 150K, B2 = gmp-ecm default on C205
12/02/24 22:25:23 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 0.00
12/02/24 22:25:23 v1.34.5 @ TRIGKEY, scheduled 30 curves at B1=2000 toward target pretesting depth of 63.08
12/02/24 22:25:23 v1.34.5 @ TRIGKEY, prp11 = 54025934701 (curve 5 stg2 B1=2000 sigma=1202588345 thread=0)
12/02/24 22:25:23 v1.34.5 @ TRIGKEY, Finished 5 curves using Lenstra ECM method on C205 input, B1=2K, B2=gmp-ecm default
12/02/24 22:25:23 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 0.00
12/02/24 22:25:23 v1.34.5 @ TRIGKEY, scheduled 25 curves at B1=2000 toward target pretesting depth of 59.69
12/02/24 22:25:23 v1.34.5 @ TRIGKEY, Finished 25 curves using Lenstra ECM method on C194 input, B1=2K, B2=gmp-ecm default
12/02/24 22:25:23 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 15.18
12/02/24 22:25:23 v1.34.5 @ TRIGKEY, scheduled 74 curves at B1=11000 toward target pretesting depth of 59.69
12/02/24 22:25:25 v1.34.5 @ TRIGKEY, prp23 = 11827494120525612882781 (curve 67 stg1 B1=11000 sigma=2672048908 thread=0)
12/02/24 22:25:25 v1.34.5 @ TRIGKEY, Finished 67 curves using Lenstra ECM method on C194 input, B1=11K, B2=gmp-ecm default
12/02/24 22:25:25 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 19.70
12/02/24 22:25:25 v1.34.5 @ TRIGKEY, scheduled 7 curves at B1=11000 toward target pretesting depth of 52.92
12/02/24 22:25:25 v1.34.5 @ TRIGKEY, Finished 7 curves using Lenstra ECM method on C172 input, B1=11K, B2=gmp-ecm default
12/02/24 22:25:25 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 20.24
12/02/24 22:25:25 v1.34.5 @ TRIGKEY, scheduled 214 curves at B1=50000 toward target pretesting depth of 52.92
12/02/24 22:26:11 v1.34.5 @ TRIGKEY, nfs: commencing nfs on c210: 680000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000031
12/02/24 22:26:11 v1.34.5 @ TRIGKEY, nfs: input divides 68*10^208 + 31
12/02/24 22:26:11 v1.34.5 @ TRIGKEY, nfs: using supplied cofactor: 2816154828011071282892770976615156157101694422526160215299081049480112465299559507403130806741092211392071299876508884649507514100766697153252716183524223140905907490781397
12/02/24 22:26:11 v1.34.5 @ TRIGKEY, nfs: commencing snfs on c172: 2816154828011071282892770976615156157101694422526160215299081049480112465299559507403130806741092211392071299876508884649507514100766697153252716183524223140905907490781397
12/02/24 22:26:12 v1.34.5 @ TRIGKEY, gen: best 3 polynomials:
n: 2816154828011071282892770976615156157101694422526160215299081049480112465299559507403130806741092211392071299876508884649507514100766697153252716183524223140905907490781397
# 68*10^208+31, difficulty: 210.43, anorm: 5.13e+032, rnorm: 3.05e+047
# scaled difficulty: 212.90, suggest sieving rational side
# size = 1.102e-014, alpha = -0.286, combined = 5.091e-012, rroots = 1
type: snfs
size: 210
skew: 0.4293
c5: 2125
c0: 31
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
n: 2816154828011071282892770976615156157101694422526160215299081049480112465299559507403130806741092211392071299876508884649507514100766697153252716183524223140905907490781397
# 68*10^208+31, difficulty: 210.00, anorm: 2.30e+032, rnorm: 6.83e+047
# scaled difficulty: 212.58, suggest sieving rational side
# size = 1.008e-014, alpha = -0.018, combined = 4.741e-012, rroots = 1
type: snfs
size: 210
skew: 2.1467
c5: 17
c0: 775
Y1: -1
Y0: 1000000000000000000000000000000000000000000
m: 1000000000000000000000000000000000000000000
n: 2816154828011071282892770976615156157101694422526160215299081049480112465299559507403130806741092211392071299876508884649507514100766697153252716183524223140905907490781397
# 68*10^208+31, difficulty: 210.00, anorm: 2.30e+038, rnorm: 7.27e+040
# scaled difficulty: 210.00, suggest sieving algebraic side
# size = 1.399e-010, alpha = -0.774, combined = 4.269e-012, rroots = 0
type: snfs
size: 210
skew: 1.8901
c6: 17
c0: 775
Y1: -1
Y0: 100000000000000000000000000000000000
m: 100000000000000000000000000000000000
12/02/24 22:26:13 v1.34.5 @ TRIGKEY, test: fb generation took 1.6272 seconds
12/02/24 22:26:13 v1.34.5 @ TRIGKEY, test: commencing test sieving of polynomial 0 on the rational side over range 21400000-21402000
skew: 0.4293
c5: 2125
c0: 31
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
12/02/24 22:29:12 v1.34.5 @ TRIGKEY, nfs: parsing special-q from .dat file
12/02/24 22:29:13 v1.34.5 @ TRIGKEY, test: fb generation took 1.5451 seconds
12/02/24 22:29:13 v1.34.5 @ TRIGKEY, test: commencing test sieving of polynomial 1 on the rational side over range 21400000-21402000
skew: 2.1467
c5: 17
c0: 775
Y1: -1
Y0: 1000000000000000000000000000000000000000000
m: 1000000000000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
12/02/24 22:32:06 v1.34.5 @ TRIGKEY, nfs: parsing special-q from .dat file
12/02/24 22:32:08 v1.34.5 @ TRIGKEY, test: fb generation took 2.2660 seconds
12/02/24 22:32:08 v1.34.5 @ TRIGKEY, test: commencing test sieving of polynomial 2 on the algebraic side over range 21400000-21402000
skew: 1.8901
c6: 17
c0: 775
Y1: -1
Y0: 100000000000000000000000000000000000
m: 100000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
12/02/24 22:34:20 v1.34.5 @ TRIGKEY, nfs: parsing special-q from .dat file
12/02/24 22:34:20 v1.34.5 @ TRIGKEY, gen: selected polynomial:
n: 2816154828011071282892770976615156157101694422526160215299081049480112465299559507403130806741092211392071299876508884649507514100766697153252716183524223140905907490781397
# 68*10^208+31, difficulty: 210.00, anorm: 2.30e+032, rnorm: 6.83e+047
# scaled difficulty: 212.58, suggest sieving rational side
# size = 1.008e-014, alpha = -0.018, combined = 4.741e-012, rroots = 1
type: snfs
size: 210
skew: 2.1467
c5: 17
c0: 775
Y1: -1
Y0: 1000000000000000000000000000000000000000000
m: 1000000000000000000000000000000000000000000
12/04/24 18:19:24 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
12/04/24 18:21:21 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 22094087
12/04/24 20:48:45 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
12/04/24 20:50:47 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 23205754
12/04/24 23:33:53 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
12/04/24 23:36:00 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 24430385
12/05/24 02:34:23 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
12/05/24 02:36:35 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 25751244
12/05/24 05:35:30 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
12/05/24 05:37:46 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 27061140
12/05/24 08:51:42 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
12/05/24 08:56:10 v1.34.5 @ TRIGKEY, nfs: commencing msieve linear algebra
12/05/24 12:29:11 v1.34.5 @ TRIGKEY, nfs: commencing msieve sqrt
12/05/24 12:32:40 v1.34.5 @ TRIGKEY, prp56 = 10731695595723638592446973427059937463506353138192340667
12/05/24 12:32:40 v1.34.5 @ TRIGKEY, C117 = 262414713769299553896206057145721818290379566723234937631968326317052321735344693895075916764123904610533587137142191
12/05/24 12:32:41 v1.34.5 @ TRIGKEY, NFS elapsed time = 223589.2492 seconds.
12/05/24 12:32:41 v1.34.5 @ TRIGKEY,
12/05/24 12:32:41 v1.34.5 @ TRIGKEY,
12/02/24 22:34:20 v1.34.5 @ TRIGKEY, test: test sieving took 488.59 seconds


CADO-NFS

STA:Sat Dec 7 13:42:49 AEDT 2024 (262414713769299553896206057145721818290379566723234937631968326317052321735344693895075916764123904610533587137142191 - C117)

./cado-nfs.py -t 16 --no-colors 262414713769299553896206057145721818290379566723234937631968326317052321735344693895075916764123904610533587137142191 2>&1 | tee -a log-25

Info:root: Using default parameter file ./parameters/factor/params.c115
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.efwcplns
Info:Database: Opened connection to database /tmp/cado.efwcplns/c115.db
Info:root: Set tasks.threads=16 based on --server-threads 16
Info:root: tasks.threads = 16 [via tasks.threads]
Info:root: tasks.polyselect.threads = 2 [via tasks.polyselect.threads]
Info:root: tasks.sieve.las.threads = 2 [via tasks.sieve.las.threads]
Info:root: tasks.linalg.bwc.threads = 16 [via tasks.threads]
Info:root: tasks.sqrt.threads = 8 [via tasks.sqrt.threads]
Info:root: slaves.scriptpath is /home/bob/Math/cado-nfs/build/TrigKey-2
Info:root: Command line parameters: ./cado-nfs.py -t 16 --no-colors 262414713769299553896206057145721818290379566723234937631968326317052321735344693895075916764123904610533587137142191
Info:root: If this computation gets interrupted, it can be resumed with ./cado-nfs.py /tmp/cado.efwcplns/c115.parameters_snapshot.0
Info:Server Launcher: Adding TrigKey-2 to whitelist to allow clients on localhost to connect
Info:HTTP server: Using non-threaded HTTPS server
Info:HTTP server: Using whitelist: localhost,TrigKey-2
Info:Lattice Sieving: param rels_wanted is 11400000
Info:Complete Factorization / Discrete logarithm: Factoring 262414713769299553896206057145721818290379566723234937631968326317052321735344693895075916764123904610533587137142191
Info:HTTP server: serving at https://TrigKey-2:38103 (0.0.0.0)
Info:HTTP server: For debugging purposes, the URL above can be accessed if the server.only_registered=False parameter is added
Info:HTTP server: You can start additional cado-nfs-client.py scripts with parameters: --server=https://TrigKey-2:38103 --certsha1=44e56e3fd71ea8387b27477328a1eb1805dd8f9e
Info:HTTP server: If you want to start additional clients, remember to add their hosts to server.whitelist
===
Info:Polynomial Selection (root optimized): Finished, best polynomial has Murphy_E = 2.786e-06
Info:Polynomial Selection (root optimized): Best polynomial is:
n: 262414713769299553896206057145721818290379566723234937631968326317052321735344693895075916764123904610533587137142191
skew: 60759.718
c0: 2709201245057510020255519053
c1: -221462437806069942499317
c2: -3308028349142779109
c3: 36163505261137
c4: 1448552616
c5: 1620
Y0: -50051407113766872059240
Y1: 30194398805358601
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=4.027e+12) = 2.786e-06
# f(x) = 1620*x^5+1448552616*x^4+36163505261137*x^3-3308028349142779109*x^2-221462437806069942499317*x+2709201245057510020255519053
# g(x) = 30194398805358601*x-50051407113766872059240
===
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1584.71, WCT time 123.63, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (17500 iterations)
Info:Linear Algebra: Lingen CPU time 23.97, WCT time 13.06
Info:Linear Algebra: Mksol: CPU time 874.74,  WCT time 70.85, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (10000 iterations)
Info:Quadratic Characters: Starting
Info:Complete Factorization / Discrete logarithm: Quadratic Characters
Info:Quadratic Characters: Total cpu/real time for characters: 10.64/2.25585
Info:Square Root: Starting
Info:Square Root: Creating file of (a,b) values
Info:Square Root: finished
Info:Square Root: Factors: 1315381718353552825709621312515243449975655201 199497005399893222414747159233287899483191851301226921265864515325238991
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 388.05/35.9179
Info:HTTP server: Got notification to stop serving Workunits
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11976497
Info:Lattice Sieving: Average J: 1918.32 for 176947 special-q, max bucket fill -bkmult 1.0,1s:1.350100
Info:Lattice Sieving: Total time: 10616.6s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 40.83/23.2075
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 22.8s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 166.33/96.1028
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 76.3s
Info:Quadratic Characters: Total cpu/real time for characters: 10.64/2.25585
Info:Filtering - Merging: Total cpu/real time for merge: 31.66/3.67333
Info:Filtering - Merging: Total cpu/real time for replay: 7.77/6.52097
Info:Filtering - Singleton removal: Total cpu/real time for purge: 62.71/40.9007
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 101.67
Info:Polynomial Selection (root optimized): Rootsieve time: 102.45
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 20327.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 18941/33.680/42.287/53.280/1.946
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15150/33.100/37.373/51.860/1.495
Info:Polynomial Selection (size optimized): Total time: 678.82
Info:Square Root: Total cpu/real time for sqrt: 388.05/35.9179
Info:Linear Algebra: Total cpu/real time for bwc: 2823.86/238.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1584.71, WCT time 123.63, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (17500 iterations)
Info:Linear Algebra: Lingen CPU time 23.97, WCT time 13.06
Info:Linear Algebra: Mksol: CPU time 874.74,  WCT time 70.85, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (10000 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 47.97/3.71102
Info:Generate Factor Base: Total cpu/real time for makefb: 0.27/0.120652
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 23725.5/1804.75
Info:root: Cleaning up computation data in /tmp/cado.efwcplns
1315381718353552825709621312515243449975655201 199497005399893222414747159233287899483191851301226921265864515325238991

END:Sat Dec 7 14:12:55 AEDT 2024 (262414713769299553896206057145721818290379566723234937631968326317052321735344693895075916764123904610533587137142191 - C117)

YAFU + CADO-NFS

685508243714428981249610666241719543139033972799376284483321491425490322841412438532403217320637100798282821039473770150148916585065562464396470371014096870168126052482485996201506843050256488027<195>

2893638462690794326901107009819952360666801025391<49>
236901828805860869110200790432691112459278044363487450226347794077234930387891761711085003697399563438459340661950610583663194206156352397201546197<147>

Number: n
N=685508243714428981249610666241719543139033972799376284483321491425490322841412438532403217320637100798282821039473770150148916585065562464396470371014096870168126052482485996201506843050256488027
  ( 195 digits)
SNFS difficulty: 211 digits.
Divisors found:

Wed Jun 23 11:58:55 2021  p49 factor: 2893638462690794326901107009819952360666801025391
Wed Jun 23 11:58:55 2021  p147 factor: 236901828805860869110200790432691112459278044363487450226347794077234930387891761711085003697399563438459340661950610583663194206156352397201546197
Wed Jun 23 11:58:55 2021  elapsed time 04:26:12 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 68x10^209+31 = 75(208)9
#
n: 685508243714428981249610666241719543139033972799376284483321491425490322841412438532403217320637100798282821039473770150148916585065562464396470371014096870168126052482485996201506843050256488027
m: 1000000000000000000000000000000000000000000
deg: 5
c5: 34
c0: 155
skew: 1.35
# Murphy_E = 5.06e-12
type: snfs
lss: 1
rlim: 23000000
alim: 23000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 23000000/23000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 53100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7848020 hash collisions in 53834889 relations (47841772 unique)
Msieve: matrix is 3275898 x 3276123 (1150.5 MB)

Sieving start time : 2021/06/22 12:26:01
Sieving end time  : 2021/06/23 07:31:26

Total sieving time: 19hrs 5min 25secs.

Total relation processing time: 4hrs 2min 14sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 9min 24sec.

Prototype def-par.txt line would be:
snfs,211,5,0,0,0,0,0,0,0,0,23000000,23000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118509] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239976K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2736K init, 4964K bss, 487260K reserved, 0K cma-reserved)
[    0.154060] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.34 BogoMIPS (lpj=12798688)
[    0.150212] smpboot: Total of 16 processors activated (102389.50 BogoMIPS)

686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686869<210>

93574258329777841897333804073837<32>
7340359401492651820031713928026584460098396728956461934638744548622488879634850950446168286419708258953564813669600062677146746455491682710170624898027369808072448809362613937737<178>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=73811111
Step 1 took 9204ms
********** Factor found in step 1: 93574258329777841897333804073837
Found probable prime factor of 32 digits: 93574258329777841897333804073837
Probable prime cofactor 7340359401492651820031713928026584460098396728956461934638744548622488879634850950446168286419708258953564813669600062677146746455491682710170624898027369808072448809362613937737 has 178 digits

GMP-ECM 6.3

60593608667146090236026776648246622840353882083017521048079689985595840122728184925312186713274221406438791964703790035375299053787355953043227661596590034169598794721921913387258832811<185>

192244027783785403646021071641715936266581400786108446552343666732538517363169606445376827979195803652127646641906766735337364238257070410223311228097256253655817035704522060143544092157263530657692263110830661<210>

953440241444864836930387935604696298599<39>
201631963312618806454382643871984408140349256938795995132149061225787384237462209086353179125452196402806085199060189206569128816609733638172581889255963006969444926234739<171>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2360541409
Step 1 took 100583ms
Step 2 took 33534ms
********** Factor found in step 2: 953440241444864836930387935604696298599
Found probable prime factor of 39 digits: 953440241444864836930387935604696298599

251125033562732051589584128327663104546899501947377307208485371909305298226865905668006751125160919021442827443642851778205161584575245723597720481462159524730759923719831272934340157697500503411<195>

4209185862184268273127253828897<31>
59661189071944665603977146804191874640959536474974579105778380174577994479495775439038801365131606139407441846899279972013303204769499286481828359386402678774815763<164>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3354158668
Step 1 took 9797ms
Step 2 took 5834ms
********** Factor found in step 2: 4209185862184268273127253828897
Found probable prime factor of 31 digits: 4209185862184268273127253828897
Probable prime cofactor 59661189071944665603977146804191874640959536474974579105778380174577994479495775439038801365131606139407441846899279972013303204769499286481828359386402678774815763 has 164 digits

GMP-ECM 6.3

301467845593787552965487785976705275026377076669972002730256896872356510021786193245257232633566045563879824427633697315281726215368212361172931975077543133531135899911286099030036242413990088016068033335489<207>

307431973408652964276900587399259782126761<42>
10514061419137463315030637163337705419480317743424375568642884992173<68>
93265592769378089472857955037426922545884343684628274129151017419994021904751083118646316968898013<98>

Number: n
N=301467845593787552965487785976705275026377076669972002730256896872356510021786193245257232633566045563879824427633697315281726215368212361172931975077543133531135899911286099030036242413990088016068033335489
  ( 207 digits)
SNFS difficulty: 217 digits.
Divisors found:

Thu Oct  4 00:15:16 2018  found factor: 93265592769378089472857955037426922545884343684628274129151017419994021904751083118646316968898013
Thu Oct  4 00:42:13 2018  p42 factor: 307431973408652964276900587399259782126761
Thu Oct  4 00:42:13 2018  p68 factor: 10514061419137463315030637163337705419480317743424375568642884992173
Thu Oct  4 00:42:13 2018  p98 factor: 93265592769378089472857955037426922545884343684628274129151017419994021904751083118646316968898013
Thu Oct  4 00:42:13 2018  elapsed time 07:56:14 (Msieve 1.54 - dependency 5)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.777).
Factorization parameters were as follows:
#
# N = 68x10^216+31 = 75(215)9
#
n: 301467845593787552965487785976705275026377076669972002730256896872356510021786193245257232633566045563879824427633697315281726215368212361172931975077543133531135899911286099030036242413990088016068033335489
m: 1000000000000000000000000000000000000
deg: 6
c6: 68
c0: 31
skew: 0.88
# Murphy_E = 3.224e-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, 33400000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8224938 hash collisions in 53114716 relations (47035976 unique)
Msieve: matrix is 4055740 x 4055966 (1436.6 MB)

Sieving start time: 2018/10/03 03:39:13
Sieving end time  : 2018/10/03 16:45:05

Total sieving time: 13hrs 5min 52secs.

Total relation processing time: 6hrs 42min 19sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 43min 26sec.

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) ----------
[    0.044000] 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, 4248K rodata, 2408K init, 2416K bss, 418340K reserved, 0K cma-reserved)
[    0.076570] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5989.19 BogoMIPS (lpj=11978392)
[    0.074211] smpboot: Total of 16 processors activated (95827.13 BogoMIPS)

725459371152871911852287259115397281686381815584412222606325690061415503958444872737923609666393661005623636681921099312386490913142841<135>

11270547510807593876972231970957246987735659849431843874366677037<65>
64367713321576596654538039581328450968537439353544611808983371367183293<71>

Number: 75559_217
N = 725459371152871911852287259115397281686381815584412222606325690061415503958444872737923609666393661005623636681921099312386490913142841 (135 digits)
Divisors found:
r1=11270547510807593876972231970957246987735659849431843874366677037 (pp65)
r2=64367713321576596654538039581328450968537439353544611808983371367183293 (pp71)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 195.89 hours.
Factorization parameters were as follows:
# Murphy_E = 4.607e-11, selected by Erik Branger
n: 725459371152871911852287259115397281686381815584412222606325690061415503958444872737923609666393661005623636681921099312386490913142841
Y0: -141706355774978129497535492
Y1: 98021070938093
c0: -5565317361344513069288055168994515
c1: 22611493371709838565352916832
c2: 12397966700336779724264
c3: -57051926954244512
c4: -19709551261
c5: 12696
skew: 1065541.3
type: gnfs
# selected mechanically
rlim: 13200000
alim: 13200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 13200000/13200000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [6600000, 14800000)
Relations: 20641539
Relations in full relation-set: 3126764 relations
Pruned matrix : 1892202 x 1892430
Polynomial selection time: 0.00 hours.
Total sieving time: 191.86 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 3.63 hours.
time per square root: 0.30 hours.
Prototype def-par.txt line would be: gnfs,134,5,65,2000,1e-05,0.28,250,20,50000,3600,13200000,13200000,28,28,54,54,2.6,2.6,100000
total time: 195.89 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

10694757399191058868219487348968309479659809424226277711320978321053677344692336456638683409646958521174002212792507003593137736183765202709719636415224317591141561303641429932552515431061777<191>

2696032965234204163014416932279<31>
3966849640602226897599600448450143692340510074664155779775823351549753005880266496659473122501279145758806202245301249342026705268088534526150045890915588095863<160>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4182567758
Step 1 took 8612ms
Step 2 took 5413ms
********** Factor found in step 2: 2696032965234204163014416932279
Found probable prime factor of 31 digits: 2696032965234204163014416932279
Probable prime cofactor 3966849640602226897599600448450143692340510074664155779775823351549753005880266496659473122501279145758806202245301249342026705268088534526150045890915588095863 has 160 digits

GMP-ECM 6.3

253504464528224498003758207650279099019690925824444239631269640351949734395830473281310375762898087994578005394270375267003500900239378920356327878634496623892339596492241015474521331944216691561497859519<204>

1861554584742532977945775215953024521<37>

136178904774519988132746439007827777284220854985173881347653413446380019078108799962608708903542430718427160647109001197290917168322260957886265692733807988587967119239<168>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2778974419
Step 1 took 27322ms
Step 2 took 10249ms
********** Factor found in step 2: 1861554584742532977945775215953024521
Found probable prime factor of 37 digits: 1861554584742532977945775215953024521

136178904774519988132746439007827777284220854985173881347653413446380019078108799962608708903542430718427160647109001197290917168322260957886265692733807988587967119239<168>

336189279927854584362283035997970003333<39>

405066172257912731456138665827636951090933360917421229792431184769901315328174795921820953200716472254578668626534605547351472283<129>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2386361934
Step 1 took 71796ms
Step 2 took 27127ms
********** Factor found in step 2: 336189279927854584362283035997970003333
Found probable prime factor of 39 digits: 336189279927854584362283035997970003333

405066172257912731456138665827636951090933360917421229792431184769901315328174795921820953200716472254578668626534605547351472283<129>

349811986409332693803939069863659775889013144888697694065149<60>
1157953952395228449437068691053309874458922763434454996580895083547767<70>

N = 405066172257912731456138665827636951090933360917421229792431184769901315328174795921820953200716472254578668626534605547351472283 (129 digits)
Divisors found:
r1=349811986409332693803939069863659775889013144888697694065149 (pp60)
r2=1157953952395228449437068691053309874458922763434454996580895083547767 (pp70)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 22.72 hours.
Factorization parameters were as follows:
n: 405066172257912731456138665827636951090933360917421229792431184769901315328174795921820953200716472254578668626534605547351472283
Y0: -10120074287096818584257980
Y1: 67456005778291
c0: 5733562640805888450261123381153
c1: 633888636599645077717054606
c2: 566187282556646518559
c3: -9072410386125722
c4: -1176315012
c5: 3816
skew: 579531.37 
type: gnfs
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 19494565
Relations: 2366738 relations
Pruned matrix : 1331033 x 1331267
Polynomial selection time: 0.00 hours.
Total sieving time: 20.84 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.58 hours.
time per square root: 0.21 hours.
Prototype def-par.txt line would be: gnfs,128,5,65,2000,1e-05,0.28,250,20,50000,3600,6800000,6800000,28,28,55,55,2.5,2.5,100000
total time: 22.72 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

1976841171943194433989716408266925351451036160282782245685931515890097898785575012062437726050879536901000808693745128885291270525501915394843368521891116152230526728487199646710574227794309548146058316936671337797<214>

1879114006394138303282092514213398621284089<43>
1052007044392472141720633027005121810642309508819720680619215479069142288964125193437489299699591830809985574565947419375323307239809122264802213911220343026785417834233773<172>

Number: n
N=1976841171943194433989716408266925351451036160282782245685931515890097898785575012062437726050879536901000808693745128885291270525501915394843368521891116152230526728487199646710574227794309548146058316936671337797
  ( 214 digits)
SNFS difficulty: 223 digits.
Divisors found:

Tue May 15 22:48:29 2018  p43 factor: 1879114006394138303282092514213398621284089
Tue May 15 22:48:29 2018  p172 factor: 1052007044392472141720633027005121810642309508819720680619215479069142288964125193437489299699591830809985574565947419375323307239809122264802213911220343026785417834233773
Tue May 15 22:48:29 2018  elapsed time 08:53:34 (Msieve 1.53 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.125).
Factorization parameters were as follows:
#
# 68x10^220+31 = 75(219)9
#
n: 1976841171943194433989716408266925351451036160282782245685931515890097898785575012062437726050879536901000808693745128885291270525501915394843368521891116152230526728487199646710574227794309548146058316936671337797
m: 10000000000000000000000000000000000000
deg: 6
c6: 17
c0: 775
skew: 1.89
# Murphy_E = 1.889e-12
type: snfs
lss: 1
rlim: 37000000
alim: 37000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 37000000/37000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 83300000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 14644450 hash collisions in 75629200 relations (61819191 unique)
Msieve: matrix is 4617205 x 4617430 (1312.8 MB)

Sieving start time: 2018/05/13 09:46:52
Sieving end time  : 2018/05/15 13:52:41

Total sieving time: 52hrs 5min 49secs.

Total relation processing time: 8hrs 24min 25sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 30sec.

Prototype def-par.txt line would be:
snfs,223,6,0,0,0,0,0,0,0,0,37000000,37000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.036000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16286848K/16703460K available (12300K kernel code, 2470K rwdata, 4240K rodata, 2404K init, 2416K bss, 416612K reserved, 0K cma-reserved)
[    0.068639] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.28 BogoMIPS (lpj=11976564)
[    0.066207] smpboot: Total of 16 processors activated (95812.51 BogoMIPS)

18761200212306263051708838502532678324738898298221635217165895531536610815691388313570331780945444883137862149804884311970173851373672114042654697486164836535535455961724283707758769989371811063298852598756071031<212>

43015763437670960038447145098165131730770549684548784136925478138263742766618916993<83>
436147093832029569631620097329706334471492920010289490066927037165530289095875030085963510872829322068164548645404365938050552567<129>

Number: n
N=18761200212306263051708838502532678324738898298221635217165895531536610815691388313570331780945444883137862149804884311970173851373672114042654697486164836535535455961724283707758769989371811063298852598756071031
  ( 212 digits)
SNFS difficulty: 223 digits.
Divisors found:

Fri Sep 28 16:14:49 2018  p83 factor: 43015763437670960038447145098165131730770549684548784136925478138263742766618916993
Fri Sep 28 16:14:49 2018  p129 factor: 436147093832029569631620097329706334471492920010289490066927037165530289095875030085963510872829322068164548645404365938050552567
Fri Sep 28 16:14:49 2018  elapsed time 12:28:51 (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 = 68x10^221+31 = 75(220)9
#
n: 18761200212306263051708838502532678324738898298221635217165895531536610815691388313570331780945444883137862149804884311970173851373672114042654697486164836535535455961724283707758769989371811063298852598756071031
m: 10000000000000000000000000000000000000
deg: 6
c6: 34
c0: 155
skew: 1.29
# Murphy_E = 2.152e-12
type: snfs
lss: 1
rlim: 37000000
alim: 37000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 37000000/37000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 51300000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8486327 hash collisions in 52383182 relations (45874677 unique)
Msieve: matrix is 5141101 x 5141326 (1817.1 MB)

Sieving start time: 2018/09/27 08:14:11
Sieving end time  : 2018/09/28 03:45:07

Total sieving time: 19hrs 30min 56secs.

Total relation processing time: 11hrs 59min 59sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 10min 52sec.

Prototype def-par.txt line would be:
snfs,223,6,0,0,0,0,0,0,0,0,37000000,37000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.044000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16285124K/16703460K available (12300K kernel code, 2471K rwdata, 4244K rodata, 2408K init, 2416K bss, 418336K reserved, 0K cma-reserved)
[    0.076545] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.34 BogoMIPS (lpj=11976684)
[    0.074210] smpboot: Total of 16 processors activated (95813.47 BogoMIPS)

575682923975392850600172884980186650129335263283309618688755712069391305450742179768015050051124519071746298770854268591721162107529932424549461632053244771339495993065376833308318402302818899417<195>

17035708014372115977581422565617749583<38>

33792720765683466079469430821890032850028966722968790867846913245044299507783363704786191672888385310068581241019398912928685086771185073940520544790311302999<158>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1005499260
Step 1 took 11965ms
********** Factor found in step 1: 17035708014372115977581422565617749583
Found probable prime factor of 38 digits: 17035708014372115977581422565617749583
Composite cofactor 337927207656... has 158 digits

33792720765683466079469430821890032850028966722968790867846913245044299507783363704786191672888385310068581241019398912928685086771185073940520544790311302999<158>

96530413221287010858171929817030681163817771<44>
157900610777374205340664796836963934682387203<45>
2217048452383563083357219954272619297792718968752142772923984127358423<70>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3078898549
Step 1 took 71826ms
Step 2 took 26336ms
********** Factor found in step 2: 157900610777374205340664796836963934682387203
Found probable prime factor of 45 digits: 157900610777374205340664796836963934682387203
Composite cofactor 214012603240200203803720665460140607363009598829138438399779564496717057950057424387495333650976306959299973935133 has 114 digits

N=214012603240200203803720665460140607363009598829138438399779564496717057950057424387495333650976306959299973935133
  ( 114 digits)
Divisors found:
 r1=96530413221287010858171929817030681163817771 (pp44)
 r2=2217048452383563083357219954272619297792718968752142772923984127358423 (pp70)
Version: Msieve v. 1.48
Total time: 0.53 hours.
Scaled time: 0.57 units (timescale=1.076).
Factorization parameters were as follows:
n: 214012603240200203803720665460140607363009598829138438399779564496717057950057424387495333650976306959299973935133
skew: 127852.78
c0: -35405696245308474856663711280
c1:  1022088075381399789132344
c2:  48110546309860398860
c3: -227936677832033
c4: -831264066
c5:  5940
Y0: -8153272876631678029149
Y1:  936828578231
rlim: 4240000
alim: 4240000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.500000
alambda: 2.500000
type: gnfs
Factor base limits: 4240000/4240000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2120000, 3120001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 525511 x 525747
Total sieving time: 0.00 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.33 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
gnfs,113,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4240000,4240000,27,27,54,54,2.500000,2.500000,100000
total time: 0.53 hours.

218438011859703282321613103910789909485114316759397094288320275263968736486261275362307278670100101126394699172712107867517979345336954798201293606491397676851089593159475744481586815172288536283812479602101273<210>

2423294515881306904389432474690970189627012552809893171119229453<64>
90140926093855934711691580232185151732263517951886514700584028100383110856123112094659621179996803198417169169005254951425590991125459768988762941<146>

Number: n
N=218438011859703282321613103910789909485114316759397094288320275263968736486261275362307278670100101126394699172712107867517979345336954798201293606491397676851089593159475744481586815172288536283812479602101273
  ( 210 digits)
SNFS difficulty: 224 digits.
Divisors found:

Mon Oct  1 13:54:25 2018  p64 factor: 2423294515881306904389432474690970189627012552809893171119229453
Mon Oct  1 13:54:25 2018  p146 factor: 90140926093855934711691580232185151732263517951886514700584028100383110856123112094659621179996803198417169169005254951425590991125459768988762941
Mon Oct  1 13:54:25 2018  elapsed time 21:56:21 (Msieve 1.54 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.123).
Factorization parameters were as follows:
#
# 68x10^223+31 = 75(222)9
#
n: 218438011859703282321613103910789909485114316759397094288320275263968736486261275362307278670100101126394699172712107867517979345336954798201293606491397676851089593159475744481586815172288536283812479602101273
m: 10000000000000000000000000000000000000
deg: 6
c6: 680
c0: 31
skew: 0.60
# Murphy_E = 1.249e-12
type: snfs
lss: 1
rlim: 39000000
alim: 39000000
lpbr: 29
lpba: 29
mfbr: 59
mfba: 59
rlambda: 2.6
alambda: 2.6
Factor base limits: 39000000/39000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 59/59
Sieved  special-q in [100000, 95500000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 10842721 hash collisions in 55168803 relations (45680467 unique)
Msieve: matrix is 6578104 x 6578329 (2311.0 MB)

Sieving start time: 2018/09/28 16:25:38
Sieving end time  : 2018/09/30 15:56:12

Total sieving time: 47hrs 30min 34secs.

Total relation processing time: 21hrs 7min 27sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 16min 2sec.

Prototype def-par.txt line would be:
snfs,224,6,0,0,0,0,0,0,0,0,39000000,39000000,29,29,59,59,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.044000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16285124K/16703460K available (12300K kernel code, 2471K rwdata, 4244K rodata, 2408K init, 2416K bss, 418336K reserved, 0K cma-reserved)
[    0.076545] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.34 BogoMIPS (lpj=11976684)
[    0.074210] smpboot: Total of 16 processors activated (95813.47 BogoMIPS)

765541062761547373012609375876567617915883742516466816845066960333375095694346394875716662149153576514188747045671505366682441124613413833727038981<147>

721290928360792665766410351100253615994590266945320113213<57>
1061348524791955527611561301908641870032380040534680776395895424427826714886307827877477737<91>

Number: 75559_224
N = 765541062761547373012609375876567617915883742516466816845066960333375095694346394875716662149153576514188747045671505366682441124613413833727038981 (147 digits)
Divisors found:
r1=721290928360792665766410351100253615994590266945320113213 (pp57)
r2=1061348524791955527611561301908641870032380040534680776395895424427826714886307827877477737 (pp91)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 117.34 hours.
Factorization parameters were as follows:
n: 765541062761547373012609375876567617915883742516466816845066960333375095694346394875716662149153576514188747045671505366682441124613413833727038981
# norm 3.097767e-14 alpha -6.676711 e 7.520e-12 rroots 5
skew: 12039873.18
c0: 22985470725184130684718096362512341301
c1: 22307919556432172236881142091931
c2: -6019597706122364868381434
c3: -260439856703597793
c4: 38777470363
c5: 912
Y0: -60924862964644100642223626130
Y1: 2795515191473251
type: gnfs
Factor base limits: 17700000/17700000
Large primes per side: 3
Large prime bits: 29/29
Sieved algebraic special-q in [0, 0)
Total raw relations: 42939578
Relations: 6436754 relations
Pruned matrix : 3751353 x 3751591
Polynomial selection time: 0.80 hours.
Total sieving time: 107.58 hours.
Total relation processing time: 0.40 hours.
Matrix solve time: 8.27 hours.
time per square root: 0.28 hours.
Prototype def-par.txt line would be: gnfs,146,5,65,2000,1e-05,0.28,250,20,50000,3600,17700000,17700000,29,29,58,58,2.6,2.6,100000
total time: 117.34 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
processors: 8, speed: 2.19GHz
Windows-7-6.1.7601-SP1
Running Python 3.2

19423021993716081119680091402456441016852327906312482147957726363896029705798343330477006569551556698086261068266209654384461582405027135104255926878034847186518137674950014281633818908883176235361325335618394744358754641531<224>

147783898121335615698509082490496723920568515069<48>
310012787261507380102974241581547767222488675471233126449727258320323987858033<78>
423945545444273196008034990957795503940573742191724476372081148997558934674617728188917586971708103<99>

Number: n
N=19423021993716081119680091402456441016852327906312482147957726363896029705798343330477006569551556698086261068266209654384461582405027135104255926878034847186518137674950014281633818908883176235361325335618394744358754641531
  ( 224 digits)
SNFS difficulty: 227 digits.
Divisors found:

Sat Sep 22 04:05:43 2018  found factor: 423945545444273196008034990957795503940573742191724476372081148997558934674617728188917586971708103
Sat Sep 22 04:26:11 2018  p48 factor: 147783898121335615698509082490496723920568515069
Sat Sep 22 04:26:11 2018  p78 factor: 310012787261507380102974241581547767222488675471233126449727258320323987858033
Sat Sep 22 04:26:11 2018  p99 factor: 423945545444273196008034990957795503940573742191724476372081148997558934674617728188917586971708103
Sat Sep 22 04:26:11 2018  elapsed time 28:24:16 (Msieve 1.54 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.125).
Factorization parameters were as follows:
#
# N = 68x10^225+31 = 75(224)9
#
n: 19423021993716081119680091402456441016852327906312482147957726363896029705798343330477006569551556698086261068266209654384461582405027135104255926878034847186518137674950014281633818908883176235361325335618394744358754641531
m: 20000000000000000000000000000000000000
deg: 6
c6: 2125
c0: 62
skew: 0.55
# Murphy_E = 8.833e-13
type: snfs
lss: 1
rlim: 43000000
alim: 43000000
lpbr: 30
lpba: 30
mfbr: 59
mfba: 59
rlambda: 2.7
alambda: 2.7
Factor base limits: 43000000/43000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 59/59
Sieved  special-q in [100000, 104700000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 18450890 hash collisions in 100046239 relations (83323135 unique)
Msieve: matrix is 7411705 x 7411930 (2623.4 MB)

Sieving start time: 2018/09/18 17:10:04
Sieving end time  : 2018/09/20 23:58:54

Number: n
N=19423021993716081119680091402456441016852327906312482147957726363896029705798343330477006569551556698086261068266209654384461582405027135104255926878034847186518137674950014281633818908883176235361325335618
394744358754641531
  ( 224 digits)
SNFS difficulty: 227 digits.
Divisors found:

Sat Sep 22 04:05:43 2018  found factor: 423945545444273196008034990957795503940573742191724476372081148997558934674617728188917586971708103
Sat Sep 22 04:26:11 2018  p48 factor: 147783898121335615698509082490496723920568515069
Sat Sep 22 04:26:11 2018  p78 factor: 310012787261507380102974241581547767222488675471233126449727258320323987858033
Sat Sep 22 04:26:11 2018  p99 factor: 423945545444273196008034990957795503940573742191724476372081148997558934674617728188917586971708103
Sat Sep 22 04:26:11 2018  elapsed time 28:24:16 (Msieve 1.54 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.125).
Factorization parameters were as follows:
#
# N = 68x10^225+31 = 75(224)9
#
n: 1942302199371608111968009140245644101685232790631248214795772636389602970579834333047700656955155669808626106826620965438446158240502713510425592687803484718651813767495001428163381890888317623536132533561
8394744358754641531
m: 20000000000000000000000000000000000000
deg: 6
c6: 2125
c0: 62
skew: 0.55
# Murphy_E = 8.833e-13
type: snfs
lss: 1
rlim: 43000000
alim: 43000000
lpbr: 30
lpba: 30
mfbr: 59
mfba: 59
rlambda: 2.7
alambda: 2.7
Factor base limits: 43000000/43000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 59/59
Sieved  special-q in [100000, 104700000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 18450890 hash collisions in 100046239 relations (83323135 unique)
Msieve: matrix is 7411705 x 7411930 (2623.4 MB)

Sieving start time: 2018/09/18 17:10:04
Sieving end time  : 2018/09/20 23:58:54

5312393763804892466443411697040798236373218324273650588073099954074190081454075748606933701364106546746136803850306024727067915633512076495067666074590624829739<160>

25640067531124115956860547934081752390436689<44>
207191098750276405618295048932161139903556496028536386361555823143090277745194718491929290656087468090453948821547451<117>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1630386795
Step 1 took 311567ms
Step 2 took 82433ms
********** Factor found in step 2: 25640067531124115956860547934081752390436689
Found probable prime factor of 44 digits: 25640067531124115956860547934081752390436689

51632010151398586378472022031147480941838489541032281268465126747122668664075495499380490606991812499637878904187046001237599931771552861899993004163854446951<158>

420667009077417020584971736649941623931184951010015923962140956857773489512785596120298323151821447311302448300311250165417632074124563487433107153999878138092798949309053257397120697230733416855545130291<204>

7555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555559<232>

47770187463812576551017858368901585507427<41>

158164662034854419511666808270566597966839977109278781810817083213027220177574006639667644322783970431141661105782646034494094501070422674052490824920814186717210175706820300053552100963935917<192>

Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=2088005588
Step 1 took 59395ms
Step 2 took 4859ms
********** Factor found in step 2: 47770187463812576551017858368901585507427
Found probable prime factor of 41 digits: 47770187463812576551017858368901585507427
Composite cofactor 158164662034... has 192 digits

1894103442647825274287644700731652949432042013921207663874469143347153211008505518102359726243569332374296768326972672359229900090094900151667156084426086073987045175539261078415735758884599508531659534708274049027<214>

1965210304623446448089075087453762912557476826393432328972917489118251147667782166223767536590373454770307411570670425163917685957078862710347590739119337230324858889260144012898700980957300919611<196>

952224715272822852917618998934413218577196758384912350722144521970472832280616613381945463065593453026818151184871436629484927714664871870413673254717563689640594997552316983833088641<183>

5593253227129597048741771933299907521009984273423488125310227896548160339497816004749259730903372171604701877184217686577303772536929478001320703309371645666002604516239193892389480832685751915721495055256253<208>

1475006902439088914572447866763572541174173788417902930001332139636306916762346272848961084527795022779432315539220059454809286984933378532074225672783181391180438071976808223365357994503255522400823832436956291371<214>

318054315905380983120945000727955677<36>
4637594362586463168272889388154933860656518178697449474745602568074881193772737234724329214510570855072658568353483695477849455645106546625261977931131067690628149150534427520423<178>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3383254891
Step 1 took 113558ms
Step 2 took 36262ms
********** Factor found in step 2: 318054315905380983120945000727955677
Found probable prime factor of 36 digits: 318054315905380983120945000727955677

148744023762950809300277037944494249625451015575043460686467626873293494350731439735040865861736170899291750533161876561502782880410533877379502627830050992627949435665433695650424904359483<189>

214044817406346131731705960556787574878639332561527381165868236202083588283057563389670272195842130856763363033737524607587759284834834184525837006015430022576044461476444402624162499124407091671013667<201>

3324484259991402190802638876579560179899857181706506358599142410952004787152531205965785618411112470457678644174193303253683862510378387584080356673717737595651907614319625705185772121966488112038821654251<205>

3230267642319744090974670393610833927667901477582412920590581152264208274445363263695469848289695367007877949252787744341396885359142729978660007788524956298925979581228200347258132674790575447179509100872912160983447<217>

12006712288087946271165044005809181019376410805394456861567081800597426857605649418307351942286712252503202992875526156390087129941359905823364070719147641986132009667389211439356441255428628749615791026579853730561<215>

19967299346242043054983429443356464837<38>

601318790282356156255832715867481026919512965660398011027472295783984468776097407304298270259102861450683388466100957588921143864559520631608856164767576582509210458172830416653<177>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4111271297
Step 1 took 30747ms
Step 2 took 10941ms
********** Factor found in step 2: 19967299346242043054983429443356464837
Found probable prime factor of 38 digits: 19967299346242043054983429443356464837

153879814341524146337838733128435636867883024710572844665530298857414931393988328365673149769683696679842274041846006648447651301469062942927650019866004346686506746841104197109186430755806478576392255366991495196555375592823<225>

2991977096359878375009169413647111213942390811546848633379360475266263268574610920127448517772598041107132579352725897310742249047137174416452193976521627992594164981006154863740888817081950052507<196>

1758133728495188767406953983822372696376589668480296458983127451857675984941690163054814181612277222785850713137356622457622260372762329047696347861490815973761398175320921942911143264549255009603<196>

16612443436872673340839930817863584176786531<44>
105832337980628878479721908799553596229060231290547987923714965982960633739118857767964529966613651831465828267157489545245884229530768185879150036023713<153>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=114133189
Step 1 took 27356ms
Step 2 took 9920ms
********** Factor found in step 2: 16612443436872673340839930817863584176786531
Found probable prime factor of 44 digits: 16612443436872673340839930817863584176786531