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-   -   Very Prime Riesel and Sierpinski k (https://www.mersenneforum.org/showthread.php?t=9755)

pinhodecarlos 2012-03-15 20:20

Thomas, I won't do nothing. Files will stay as they are. Thank you.

Thomas11 2012-03-16 09:26

1 Attachment(s)
Based on Carlos' question I did a little statistics on all the Sierpinski sequences I processed so far. Please find the data attached.

The files will look like the following example (for E=66):
[CODE]level min max average
50 5 18 10.10
100 12 27 17.44
200 20 39 27.52
300 28 45 34.57
500 36 54 44.47
750 45 65 52.80
1000 53 69 58.98
1500 59 79 67.10
2000 65 83 73.01
2500 69 90 77.73
3000 75 96 81.59
4000 79 104 87.64
5000 85 105 92.43
6000 91 106 96.26
7000 92 109 99.24
8000 94 110 102.00
9000 99 113 104.36
10000 105 115 106.60
data from 429 files
[/CODE]
Given are the minimum and maximum number of primes at the given level, as well as the average over all sequences for the specific E.

Note that the found "min" values more of less replicate the actual Smith check levels used in my in.txt files.

Based on that data one may optimize the levels by setting them to something like:
count(level) = average(level) - 6

But, perhaps, Robert should decide on this...

Perhaps we could find some (simple) functional dependency (also depending on the E level), which could replace the hard set Smith check levels in a future version of the software. Maybe with an adjustment parameter for the "stiffness"...

robert44444uk 2012-03-16 17:59

Really busy today, but my computer goes on regardless :)

Nice result for Riesel, into virgin territory, breaking a record that has stood for many years:

160 143571 440310850049907 R 82
161 158755 440310850049907 R 82
162 159331 440310850049907 R 82
[B]163 160412 440310850049907 R 82[/B]

Concentrating now on the upper Riesel ranges: 180, 196, 210, 226

robert44444uk 2012-03-16 18:02

[QUOTE=Thomas11;293178]

But, perhaps, Robert should decide on this...

Perhaps we could find some (simple) functional dependency (also depending on the E level), which could replace the hard set Smith check levels in a future version of the software. Maybe with an adjustment parameter for the "stiffness"...[/QUOTE]

Every man can decide his own targets, getting 100/10000 is not noticed really unless your target is most VPS.

The system has "stiffness" already built in

c0 1.5
c1 5.0

These define the stiffness. Yon should trawl back to Robert G's original postings to learn about this.

pinhodecarlos 2012-03-16 23:01

1 Attachment(s)
My weeks results. Pay attention for duplicates because I set I=0 when I updated the client to the new one.

Carlos

pinhodecarlos 2012-03-17 00:02

Thomas,

About the table you posted [URL="http://www.mersenneforum.org/showpost.php?p=292998&postcount=407"]here[/URL], did you do it manually or do you have some kind of SQL database? How hard is to make one table online where you could upload your results.txt files and automatically get that stats table?

Carlos

robert44444uk 2012-03-18 03:58

Working in the upper echelons is still not easy work, the iterations fly by with little evidence of any very prime candidates.

But I have one Riesel E180 VPS

R 3520085628118353 180 102/10000

And on near miss at E196

R 1624082107451859 196 99/10000

Thomas11 2012-03-19 09:37

1 Attachment(s)
[QUOTE=pinhodecarlos;293255]Thomas,

About the table you posted [URL="http://www.mersenneforum.org/showpost.php?p=292998&postcount=407"]here[/URL], did you do it manually or do you have some kind of SQL database? How hard is to make one table online where you could upload your results.txt files and automatically get that stats table?

Carlos[/QUOTE]

Carlos,

I wrote some Perl scripts for generating this kind of tables (see the attachment).
But I have no experience in how to use them in a Windows environment...

Thomas

Thomas11 2012-03-19 09:43

During the weekend I found the first VPS for E=196:

S 12371760550032321 196 100/8794 102/10000

And, even more exciting, the first E=292 Payam sequence:

[B]S 42356974817175081 292[/B] 1/11 72/10000 :banana:

For the latter I expected at least one or two months, but it came much earlier...

robert44444uk 2012-03-19 13:09

[QUOTE=Thomas11;293473]During the weekend I found the first VPS for E=196:

S 12371760550032321 196 100/8794 102/10000

And, even more exciting, the first E=292 Payam sequence:

[B]S 42356974817175081 292[/B] 1/11 72/10000 :banana:

For the latter I expected at least one or two months, but it came much earlier...[/QUOTE]

Very impressive, I would've thought a couple of months as well.

I'm travelling now for a week with no access to computers. But I started today on E130 again, as I think, with the huge pickup in sieve speed, this might become an optimal source for serious candidates for the higher prime counts.

Thomas11 2012-03-19 14:00

Carlos,

I've run your latest results files through my script and got the following statistics:
[CODE]100 452
101 426
102 310
103 232
104 182
105 106
106 67
107 44
108 24
109 18
110 8
111 7
112 10
113 3
114 2
115 0
116 1
117 1
total: 1893
[/CODE]

I also checked your candidates for higher factors and found that the following are true E=82 sequences (verified with axn's payamx.exe):
[CODE]R 67888682569393 66 == R 817935934571 82
R 133451144075469 66 == R 1607845109343 82
R 135673542891353 66 == R 1634620998691 82
R 141369385248117 66 == R 1703245605399 82
R 174048689082875 66 == R 2096972157625 82
R 189598044345983 66 == R 2284313787301 82
R 190560525020913 66 == R 2295909940011 82
R 240971051866039 66 == R 2903265685133 82
R 255566888563145 66 == R 3079119139315 82
R 258390921597515 66 == R 3113143633705 82
R 271292586795557 66 == R 3268585383079 82
[/CODE]


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