Bases 251-500 reservations/statuses/primes

gd_barnes · 2007-12-27, 20:05

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!

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!

Gary

gd_barnes · 2008-02-03, 10:33

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!

Gary

gd_barnes · 2008-02-06, 22:42

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 www.rieselprime.org 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:

Originally Posted by grobie

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

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!

Gary

grobie · 2008-02-27, 10:42

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*256^21066-1 is prime

gd_barnes · 2008-03-03, 06:36

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

Now released.

2007-12-27, 20:05	#1
gd_barnes "Gary" May 2007 Overland Park, KS 2×7×13×67 Posts	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.

2008-01-20, 05:33	#2
gd_barnes "Gary" May 2007 Overland Park, KS 2×7×13×67 Posts	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! Gary Last fiddled with by gd_barnes on 2010-05-11 at 05:15 Reason: remove base <= 250

2008-02-03, 10:33	#4
gd_barnes "Gary" May 2007 Overland Park, KS 2·7·13·67 Posts	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! Gary

2008-02-06, 22:42	#5
gd_barnes "Gary" May 2007 Overland Park, KS 2×7×13×67 Posts	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 www.rieselprime.org and the top-5000 site and I found 8 primes for n>20K. That brought it down from 59 k's remaining. Gary

2008-02-17, 12:23	#6
grobie Sep 2005 Raleigh, North Carolina 337 Posts	Reserving Sierp base 256 k=831 to n=50k Last fiddled with by gd_barnes on 2010-05-11 at 05:10 Reason: remove base <= 250

2008-01-21, 20:55	#3
gd_barnes "Gary" May 2007 Overland Park, KS 2·7·13·67 Posts	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! Gary

2008-02-28, 19:02	#9
gd_barnes "Gary" May 2007 Overland Park, KS 2·7·13·67 Posts	Reserving Riesel base 256 to take all its k's from n=20K to 25K using the sieve file that I originally posted.

2008-02-29, 04:06	#10
gd_barnes "Gary" May 2007 Overland Park, KS 2·7·13·67 Posts	6414256^20939-1 is prime 6815256^21066-1 is prime Last fiddled with by gd_barnes on 2021-06-27 at 09:58 Reason: Add 2nd prime

2008-03-03, 06:36	#11
gd_barnes "Gary" May 2007 Overland Park, KS 2·7·13·67 Posts	Riesel base 256 completed for n=20K-25K; 2 primes previously reported. Now released.

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