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-   -   Bases 33-100 reservations/statuses/primes (https://www.mersenneforum.org/showthread.php?t=10475)

gd_barnes 2008-12-31 16:05

Riesel base 60 is complete to n=10K. 3 primes found since n=8.5K. 81 k's remain. Details on the web pages. It is now unreserved.

Now reserving Sierp base 37 to n=25K. I'm currently at n=5K with 8 k's remaining.


Gary

henryzz 2008-12-31 18:19

1 Attachment(s)
[quote=gd_barnes;156038]Can you post a results file? Thanks.


Gary[/quote]
attached

MyDogBuster 2008-12-31 20:24

Reserving Riesel Base 72

k=4 (last one) reserving from n=54K to n=200K

MyDogBuster 2009-01-01 09:57

Riesel Base 45

5128*45^31528-1 is prime! (1471.1138s+0.0036s)

17 left

MyDogBuster 2009-01-04 04:49

Riesel Base 37

Reserving all 27 k's from n=20K to n=70K

Just thinning out the ranks

Flatlander 2009-01-04 12:17

1 Attachment(s)
Riesel base 75 tested to 10k. (No reservation.) No more testing.

17 ks remaining.

Flatlander 2009-01-04 12:28

1 Attachment(s)
Riesel base 95 tested to 10k. (No reservation.) No more testing.

24 ks remaining.

I believe k=324 can be removed. Odd n has factors of 7,13,37 or 229 for as far as I could test.
I think other ks can remain but I was having problems with the factoring website.

The reason I am testing without making reservations is because it's difficult to tell which bases are hard until they are part tested. I regularly check this thread to make sure there is no repetition of work. :smile:

I am trying to push Riesel base 39 to at least n=1000.

gd_barnes 2009-01-08 04:20

Sierp base 33 complete to n=25K; 3 k's remaining

Sierp base 37 complete to n=25K; 4 k's remaining

See k's and primes on the web pages.

Both bases are now unreserved.

gd_barnes 2009-01-08 07:14

[quote=Flatlander;156769]Riesel base 95 tested to 10k. (No reservation.) No more testing.

24 ks remaining.

I believe k=324 can be removed. Odd n has factors of 7,13,37 or 229 for as far as I could test.
I think other ks can remain but I was having problems with the factoring website.

The reason I am testing without making reservations is because it's difficult to tell which bases are hard until they are part tested. I regularly check this thread to make sure there is no repetition of work.

I am trying to push Riesel base 39 to at least n=1000.[/quote]


Good analogy. That is correct that k=324 can be eliminated. The official covering set for odd-n is {7 13 229}. 37 is not needed.

This is a most unusual situation. So far, there is only one other Riesel k and base < 100 where algebraic factors on even-n combine with a covering set of MORE than one factor on odd-n to eliminate a k. That is 1369*30^n-1.


Gary

Flatlander 2009-01-08 13:21

[quote=Flatlander;156769]
I am trying to push Riesel base 39 to at least n=1000.[/quote]
Also Riesel base 58. (Can't stand those gaps. lol)

mdettweiler 2009-01-08 19:47

Reserving Sierp. base 33 for sieving to n=100K. :smile:

I was thinking that this would be an interesting base to run through PRPnet--we'd probably have it done in a very short time, and with only 3 k's remaining, there is a very good chance of proving this base in a short amount of time. What does everyone think about this?

(Note: even if we don't do it through PRPnet, I still plan to complete the sieving, which I started earlier today and is proceeding to finish probably sometime today or tomorrow. :smile:)


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