mersenneforum.org (https://www.mersenneforum.org/index.php)
-   Conjectures 'R Us (https://www.mersenneforum.org/forumdisplay.php?f=81)
-   -   Bases 251-500 reservations/statuses/primes (https://www.mersenneforum.org/showthread.php?t=12993)

 gd_barnes 2007-12-27 20:05

Bases 251-500 reservations/statuses/primes

I started an attempt to prove Sierp base 256, which has a low conjecture of k=1221. There are 2 k's remaining that need a prime, one of which has already been searched to top-5000 territory. See the web pages.

 gd_barnes 2008-01-20 05:33

I am reserving Riesel base 256. I'll take it to either n=15K or n=25K and post the k's that are left on a separate web page.

I started on it yesterday and am currently at n=6K with 85 k's remaining.

The conjecture is k=10364. It takes quite a while to test so many k's on such a high base. Alas, we'll be in top-5000 territory at n=41.7K! :smile:

Gary

 gd_barnes 2008-01-21 20:55

Status on Riesel base 256: Now up to n=12.5K on all k's. 65 k's remaining. About 8-10 more k's can be removed with base 2 primes shown at rieselprime.org but I'm leaving them in to see if there are lower primes, at least until n=25K.

I will be continuing on to n=25K after doing a little more sieving.

If you've never messed around with a HUGE base before, it's a trip! :wink:

Gary

 gd_barnes 2008-02-03 10:33

Status for Riesel base 256

For Riesel base 256, I'm now up to n=17.5K. There are 51 k's remaining, which includes the removal of 8 k's with primes for n>17.5K that were found in base 2 testing at various times. Progress is very slow at effectively n=140K base 2 for this many k's.

I'll post all k's remaining once I reach n=25K.

This will be a challenging one! :smile:

Gary

 gd_barnes 2008-02-06 22:42

Riesel base 256 status and released

I have tested Riesel base 256 up through n=20K. I am releasing this base to everyone now because its been quite a bit of work to get it up to n=160K base 2! I have created a new base 256 reservations web page that shows all 51 k's remaining. A few are effectively reserved by drive 2 as a result of converting from Riesel base 16.

Important note: Since the base is a power of 2, it LLRs as fast as base 2. A top-5000 prime will be reached at n=41.7K.

There are 51 k's remaining and I have added a sieved file for n=20K-25K for all k's to the new reservations page. The file is ~3-6 days work due to the large # of k's and large base.

I checked all for all possible base 2 conversions from [URL="http://www.rieselprime.org"]www.rieselprime.org[/URL] and the top-5000 site and I found 8 primes for n>20K. That brought it down from 59 k's remaining.

Gary

 grobie 2008-02-17 12:23

Reserving Sierp base 256 k=831 to n=50k

 gd_barnes 2008-02-18 03:12

[quote=grobie;125962]Reserving Sierp base 256 k=831 to n=50k[/quote]

Thanks for clarifying Grobie. Good luck on base 256. With top-5000 primes starting at n=41.7K, it won't take you long to get there! :smile:

Gary

 grobie 2008-02-27 10:42

1 Attachment(s)
sierp base 256 k=831 completed to n=50k. No Primes

 gd_barnes 2008-02-28 19:02

Reserving Riesel base 256 to take all its k's from n=20K to 25K using the sieve file that I originally posted.

 gd_barnes 2008-02-29 04:06

6414*256^20939-1 is prime

6815*256^21006-1 is prime

 gd_barnes 2008-03-03 06:36

Riesel base 256 completed for n=20K-25K; 2 primes previously reported.

Now released.

All times are UTC. The time now is 02:09.