Bases 33-100 reservations/statuses/primes

[gd_barnes]

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]

Originally Posted by gd_barnes

Can you post a results file? Thanks.


Gary

attached

[MyDogBuster]

Reserving Riesel Base 72

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

[MyDogBuster]

Riesel Base 45

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

17 left

[MyDogBuster]

Riesel Base 37

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

Just thinning out the ranks

[Flatlander]

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

17 ks remaining.

[Flatlander]

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.

[gd_barnes]

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]

Originally Posted by Flatlander

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.

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]

Originally Posted by Flatlander

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

Also Riesel base 58. (Can't stand those gaps. lol)

[mdettweiler]

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

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. )