AS4788:i5194 - C164
 

yoyo (thank you for your assistance) is just about to wrap up the ECM work on the next term of this Aliquot Sequence. This is a C164.

The last term is [URL="http://www.factordb.com/sequences.php?se=1&aq=4788&action=last"]here[/URL].

The composite is [URL="http://www.factordb.com/index.php?id=1100000000640348886"]here[/URL].

The number is:
[CODE]56336747150380626438276754902488766416020903744837900647138061605999767753078104418680167689142175489355492712257458624526631830323402854770850021959017408855080521[/CODE]A nice poly is requested.

Two 157 digit numbers from the Brent tables:
[code]24^172+1: 1054450059571218832261880330719049163014639516228275901450916634234268062123411641835393992847127445598669443351117060387348684061227487090049689543181019689

46^137+1: 3326757812169800432742530547117244293800570135455402489117474548520145335797875206422748885245526305642358385474699298410865816353752078957245038701025349487
[/code]
Polynomials will be gratefully used in a week or two.

Chris

An overnight run for Rich's C164 for sequence 4788 yields score 6.749e-13. I'll continue searching coeff in 13-14M range.

[QUOTE=RichD;363163]yoyo (thank you for your assistance) is just about to wrap up the ECM work on the next term of this Aliquot Sequence. This is a C164.

The last term is [URL="http://www.factordb.com/sequences.php?se=1&aq=4788&action=last"]here[/URL].

The composite is [URL="http://www.factordb.com/index.php?id=1100000000640348886"]here[/URL].

The number is:
[CODE]56336747150380626438276754902488766416020903744837900647138061605999767753078104418680167689142175489355492712257458624526631830323402854770850021959017408855080521[/CODE]A nice poly is requested.[/QUOTE]
Alfred, use "Quote" button, not the "Report post" button, ok?
[QUOTE="Alfred"]Hello,

a first suggestion is

R0: -167132767303944628800670041934723
R1: 262569407971517
A0: 2904896119859058264406991009861093144150400
A1: -64638219915023936469554866040149272
A2: -3017144413645332474429006886
A3: 20234230792711171585
A4: 171065306604
A5: 432
skew 111313596.81, size 5.496e-016, alpha -7.363, combined = 7.985e-013 rroots = 3[/QUOTE]

I intend to stop 3,697+ at the end of the year (so after twelve days of throwing 200 watts of GTX580 at it)

Best I've got so far is
[code]
# norm 5.295592e-16 alpha -10.025661 e 2.701e-16 rroots 4
skew: 24888406.49
c0: -133170695315994774198603008299450903391448780785505
c1: -19611095271256760953359729357740204372132991
c2: 2980794919302251034200069162358749217
c3: 165138472266000444899106122283
c4: -8517388319891441949856
c5: 67526923797124
c6: 1727472
Y0: -443504382801832961395855004699867978
Y1: 44411413192362013
[/code]

from
[code]
1727472 256871871704932 6297920079630241917804 -21265927252061375574544142108 -238499812008398757934729300306156759 313973802438796475365122468787431156771773 1162763244923670957998967017392004832721822202797 44411413192362013 -443504382801021652855840084791505731 -1.68 3.681623e+26
[/code]

which is significantly worse than other peoples' best. All my adequate polynomials have come from lines with stage-2 norm less than 4e+27, though it's not clear that those lines are ones which had especially awesome stage-1 norms.

(table: stage-2 norm; average E-score; histogram of E-scores above 1e-16 in 1e-17-wide buckets)

[code]
1.159115e+27 1.67 0 0 0 0 10 38 70 62 15 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1.478610e+27 1.69 0 0 0 0 4 29 80 65 16 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
8.895459e+26 1.72 0 0 0 0 1 30 71 50 33 12 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0
7.481319e+26 1.77 0 0 0 0 0 11 47 65 51 19 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1.581608e+27 1.8 0 0 0 0 0 5 29 65 62 32 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0
6.827954e+26 1.89 0 0 0 0 0 0 18 88 118 96 52 20 6 2 0 0 0 0 0 0 0 0 0 0 0 0
1.947824e+27 1.91 0 0 0 0 0 0 6 30 64 64 22 12 2 0 0 0 0 0 0 0 0 0 0 0 0 0
6.663588e+26 2.02 0 0 0 0 0 0 1 15 24 53 53 29 17 7 1 0 0 0 0 0 0 0 0 0 0 0
1.235385e+27 2.09 0 0 0 0 0 0 0 1 11 39 67 42 27 10 2 0 1 0 0 0 0 0 0 0 0 0
3.681623e+26 2.19 0 0 0 0 0 0 0 0 3 22 42 52 30 21 16 9 4 1 0 0 0 0 0 0 0 0
[/code]

working on 24^172+1

for 24^172+1
expecting poly E from 1.90e-012 to > 2.19e-012
[code]
R0: -1285556057423076977324654802923
R1: 359602226662284847
A0: -38571411631940695327507941984257529600
A1: -15944286774299466313455102954720
A2: 83941833564764552746410158
A3: 12491468187525064247
A4: -4365318282922
A5: 300312
skew 3577518.15, size 2.646e-015, alpha -6.804, combined = 1.988e-012 rroots = 3
[/code]

46^137+1 : expecting poly E from 1.77e-012 to > 2.04e-012

43^137+1
[code]R0: -1612115907106337097936221866962
R1: 288546925812603637
A0: -16262265945464526674903716233960746351
A1: 125586236893578249371640287992535
A2: 120868306809050287120888617
A3: -28190300448545926727
A4: 878975465222
A5: 305520
skew 4602979.09, size 2.431e-015, alpha -7.142, combined = 1.885e-012 rroots = 3
[/code]

Thank you.

Both polys now queued for processing, although it probably won't start until tomorrow evening at the earliest. But that only matters if someone finds a better poly.

Chris

[QUOTE=VBCurtis;363187]An overnight run for Rich's C164 for sequence 4788 yields score 6.749e-13. I'll continue searching coeff in 13-14M range.[/QUOTE]

3 days on a 460M produced nothing better than this score, which I got in the first 8 hours.
[CODE] N 56336747150380626438276754902488766416020903744837900647138061605999767753078104418680167689142175489355492712257458624526631830323402854770850021959017408855080521
SKEW 1881975.66
R0 -21105721061044434724487878902620
R1 380620520552824073
A0 219225934930242273771730985571834732717
A1 227229929477645996942520133593807
A2 -282030548287001004768896737
A3 -187183959168518271783
A4 110338871995076
A5 13452120
size 4.357e-016, alpha -6.216, combined = 6.749e-013 rroots = 5 [/CODE]

[QUOTE=wombatman;362638]Gimarel hit the jackpot. What parameters did you use?[/QUOTE]

I used the default stage1_norm.