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-   -   Bases 501-1030 reservations/statuses/primes (https://www.mersenneforum.org/showthread.php?t=12994)

rogue 2010-02-23 21:30

I'm taking Riesel base 679.

gd_barnes 2010-02-23 21:41

[quote=rogue;206458]Taking Sierpinski base 969 with conjectured k = 96.

BTW, I proved Riesel conjecture for base 515. 2*515^58466-1 is prime.[/quote]

Wow, excellent on the proof! Very good.

I'm just amazed at how easily k=2 continues falling on the Riesel side but how difficult it is to find a prime for on the Sierp side. At the moment, there are 7 Sierp bases <= 500 that have k=2 remaining but only 2 Riesel bases; 170 and 303. There are also FAR more remaining on the Sierp side for bases 501 thru 1024.

KEP 2010-02-25 09:04

Reserving Riesel base=900 k=22, sieving is already (and paused) at ~½ T.

KEP

Ps. More detailed status update will follow as of tomorrow :smile:

KEP 2010-02-26 13:12

Detailed and way more factbased status update as of February 26th 2010:

Reserved from Riesel single k test on February 25th 2010: k=22 b=900, for later testing on the Quad.

Regarding Sierpinski base 955 (all k's): Limiting my reservation to n=10K. Estimated completion date is July 31st 2010 (Did anyone of you know that July is the month of Julius Ceasar and that there is 31 days in July in honor of Julius Ceasar).

Here after, it will be all six cores hammering the single k's remaining and starting with Riesel base 900 k=22 :smile:

KEP

Ps. This makes a total of 5 reservations, with 1 new and 4 outstanding reservations :smile:

Batalov 2010-03-01 06:33

Reserving R729 to 100K.

rogue 2010-03-03 17:17

Sierpinski base 928
 
1 Attachment(s)
I have finally finished this base to n=10000 and am releasing it. This was a very difficult base.

Here is a summary. The conjectured k is 27871. This base has 2 GFNS (1 and 928), 11 MOB, 9470 are trivially factored, 17701 primes, and 686 k remaining.

Riesel base 928 is even harder. It will be a few days before that completed to n=10000.

rogue 2010-03-04 14:01

Riesel Base 928
 
I have finally finished this base to n=10000. This has been the most difficult base I've tackled.

Here is a summary. The conjectured k is 32514. This base has 19 MOB, 11048 are trivially factored, 20569 primes, and 834 k remaining.

I will continue this base a while longer, possibly as far as n=25000.

The difficulty in this base comes from two factors. First, the numbers take longer to test than a smaller base (such as base 58, which I completed a few weeks ago). Second, this base does not produce as many primes below n=10000. Most bases have < 1% of k remaining at n=10000. This base has a little more than 2.5% remaining.

Here is a question for Gary or anyone else in "the know". Which bases have the highest percent of remaining k at n=25000 where the conjuectured k > 100?

mdettweiler 2010-03-05 02:01

1 Attachment(s)
S782: conjectured k 28, proven
S783: conjectured k 36, proven
S784: conjectured k 156, 3 k's remaining at 5K, not reserved
S785: conjectured k 130, 2 k's remaining at 5K, not reserved
S788: conjectured k 40, 5 k's remaining at 5K, not reserved

All requisite files for these are attached.

rogue 2010-03-05 02:57

[QUOTE=mdettweiler;207411]S782: conjectured k 28, proven
S783: conjectured k 36, proven
S784: conjectured k 156, 3 k's remaining at 5K, not reserved
S785: conjectured k 130, 2 k's remaining at 5K, not reserved
S788: conjectured k 40, 5 k's remaining at 5K, not reserved

All requisite files for these are attached.[/QUOTE]

For so few k's you should be taking them to n=25000. Who knows, you might be able to prove one of those conjectures.

mdettweiler 2010-03-05 03:34

[quote=rogue;207415]For so few k's you should be taking them to n=25000. Who knows, you might be able to prove one of those conjectures.[/quote]
Well, I don't quite have a spare core to put them on to take them to 25K; what I did to squeeze them in was pause one of the primary jobs for a few minutes while each of these ran. My hope was that I'd be able to prove most or all of them trivially, but yes, the ones with k's remaining would be worth coming back to when a core frees up.

henryzz 2010-03-05 07:35

[quote=mdettweiler;207418]Well, I don't quite have a spare core to put them on to take them to 25K; what I did to squeeze them in was pause one of the primary jobs for a few minutes while each of these ran. My hope was that I'd be able to prove most or all of them trivially, but yes, the ones with k's remaining would be worth coming back to when a core frees up.[/quote]
If you don't want to spend time fiddling around proving these bases then I would be willing to load them into another personal prpnet server and set my clients to run 50/50. I could do with some variation in my prpnet testing plus i am still yet to find a prime with prpnet:sad:


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