Very Prime Riesel and Sierpinski k

[robert44444uk]

I spoke too soon, the program fell over.

progress.txt

c 1
E 60
iteration 0
I 0

Error message:
E+1 should be prime.

But E+1=61 prime.

Until fixed will take Sierpinski 58

[R. Gerbicz]

Originally Posted by robert44444uk

Stupendous progress, as of now I generated 26 new values and a further 14 duplicates, in the 4 areas I reserved. No record breakers though yet. Thats 40 in 6 days, compared to the 2-3 a week before. I will post at a convenient time. The software has not fallen down at all.

Robert G: Is there a way you could capture a racing table as well, that shows fastest performers to each prime level, each time the software is run? If this would slow things down then please do not change a thing!

Obviously the number of vps numbers depend on the E value, and on the side.
Done that modification it isn't slower, it is writing the record table to a txt file. Be careful, it won't use this txt file at the start of the program even if there is a recordtable.txt file on the folder. The format of the text file: level n y E as in your paper.

And now there is much less screen output of the status (there is at least 5 seconds between consecutive outputs).

"Error message:
E+1 should be prime.
But E+1=61 prime."

Corrected, it is a minor bug, doesn't effect your earlier computations.
See my page to download the new exe.

[robert44444uk]

Robert G

The racing table works very well...perfect. The E60 problem is fixed. Please note that there are other E values that could be checked that are not p-1, as their profiles are slightly different.

What is the highest E that can be checked? It was not possible to go beyond E=255 with Axn1's program.

A couple of minor improvements that could be made to the output files:

recordtable.txt - add whether it is Sierpinski (S) or Riesel (R)
results.txt - (i) add a date and time stamp to the output (ii) add the iteration and I value of discovered candidates. This will help build a statistical model for the possible number of VPS at a given level

Regards

Robert S

[R. Gerbicz]

Originally Posted by robert44444uk

Robert G

The racing table works very well...perfect. The E60 problem is fixed. Please note that there are other E values that could be checked that are not p-1, as their profiles are slightly different.

What is the highest E that can be checked? It was not possible to go beyond E=255 with Axn1's program.

A couple of minor improvements that could be made to the output files:

recordtable.txt - add whether it is Sierpinski (S) or Riesel (R)
results.txt - (i) add a date and time stamp to the output (ii) add the iteration and I value of discovered candidates. This will help build a statistical model for the possible number of VPS at a given level

Regards

Robert S

I've done those modifications, download the new exe.

E<sievelimit (default=2^27) should be true. But note that choosing a large E it might cause that there is no payam/vps number up to y=2^60, (this is the limit for y value in the code). Probably for E>1000 it is true.

[robert44444uk]

Great

Will run on 3 machines 4 cores tonight.

[robert44444uk]

Software fixes all working well !!

[robert44444uk]

Originally Posted by robert44444uk

Also reserving Sierpinski 60.

The softest target is the Riesel record to 100 primes which is only at n=5748. I have found 6 Sierpinskis with better records than that.

Oooh, near miss

R 1709333922219 60 100/5811 106/10000

Still finding plenty of VPS, will post at the weekend

[robert44444uk]

In 11 days I found 80 new VPS, to add to the 320 already known before Robert's program became available, so that is 411 including Robert's 11 finds.

In 6 weeks I can singlehandedly double the known VPS, which were found over a period of 6 years

None of the 80 have > 106/10000 though. The juicy ones are still to come.

[robert44444uk]

After 2 weeks still do not have one 110/10000 but several new drag racing records:

New absolute drag racing records:

S 391170716069 60 48/271
S 391170716069 60 49/288
S 391170716069 60 50/292
S 2121365747455 58 75/1252
S 2442649832339 58 77/1409
S 2442649832339 58 78/1418
S 2442649832339 58 79/1421
S 2442649832339 58 80/1557
S 2442649832339 58 81/1634

Best Riesel at a given n - at least 1 Sierpinski beats or equals these

R 90235721373 60 21/41
R 1654011147057 60 83/2080
R 1654011147057 60 84/2123
R 1654011147057 60 85/2132
R 1654011147057 60 86/2200
R 1654011147057 60 87/2201
R 1654011147057 60 92/3326
R 1654011147057 60 93/3765
R 1654011147057 60 94/3827
R 1654011147057 60 95/3967
R 1709333922219 60 98/5269
R 1709333922219 60 99/5321
R 1709333922219 60 104/7266

Best Sierpinski at a given n - at least one Riesel beats or equals these:

S 2618651601039 58 9/9
S 2618651601039 58 10/10
S 391170716069 60 38/142
S 391170716069 60 39/143
S 391170716069 60 40/166
S 391170716069 60 41/167
S 391170716069 60 42/173
S 391170716069 60 43/185
S 391170716069 60 44/199
S 391170716069 60 46/234
S 2604607723337 60 47/254
S 2604607723337 60 57/471
S 2442649832339 58 76/1397

The Riesel record to 100 primes remains unbeaten

[robert44444uk]

As of yesterday (2 weeks in) I have found 86 new Sierpinski VPS and 105 Riesel VPS. One is 108/10000, there are 3 at 107/10000 and 5 at 106/10000.

I have also reserved Riesel 52 from Iteration 2 - just found my first 109/10000 after only 12 hours of searching

The very best performer at 10000, with 116 primes, found 6 years ago, looks a tough one to beat, although it is only 7th best Sierpinski performer overall

S 2158430601663 66 100/5496 116/10000 153/174566

[R. Gerbicz]

Originally Posted by robert44444uk

As of yesterday (2 weeks in) I have found 86 new Sierpinski VPS and 105 Riesel VPS. One is 108/10000, there are 3 at 107/10000 and 5 at 106/10000.

That's a nice progress!