Bases 33-100 reservations/statuses/primes

[MyDogBuster]

Nice job Max

Now we don't have to

[mdettweiler]

Originally Posted by gd_barnes

EXCELLENT!! You've come so close on several of them, you were owed one.

More good news: At k=1188, this is the 3rd highest Riesel or Sierp conjecture ever proven in terms of k-value. Sierp base 36 at k=1886 and Sierp base 11 at k=1490 are higher. Interestingly the Riesel side has more bases proven but none for k>1000. The highest is Riesel base 11 at k=862.

One that is very close to proof and that would stomp all records is Sierp base 10. It has just one k remaining for a conjecture of k=9175! Cruelty is currently searching it at n=270K. Bring on that final prime Cruelty!

With the exception of Sierp base 36, all conjectures of k>1000 are or have been quite challenging to prove.


Gary

Hmm, interesting. I didn't know that. In fact, that somewhat influences my plans for the next base I'm going to do on the now-freed-up core: Sierp. base 73. I was originally going to do base 72 (also 2 k's remaining at n=25K), but now I see that 73 has got a significantly higher conjecture, at k=1444. If I can manage to prove that one too, then it will top base 57's new record!

[mdettweiler]

Reserving Sierp. base 73 for n=25K-100K.

[Siemelink]

Originally Posted by mdettweiler

378*57^67340+1 is prime!

Okay, I know this may seem a bit overexuberant for just base 57, but it is my very first proven conjecture.

You are one of the few who has proven a conjecture that is not trivial. Well done! I think it was Rogue who proved a conjecture with n = 100,000+.

Cheers, Willem.

[henryzz]

Originally Posted by gd_barnes

EXCELLENT!! You've come so close on several of them, you were owed one.

More good news: At k=1188, this is the 3rd highest Riesel or Sierp conjecture ever proven in terms of k-value. Sierp base 36 at k=1886 and Sierp base 11 at k=1490 are higher. Interestingly the Riesel side has more bases proven but none for k>1000. The highest is Riesel base 11 at k=862.

One that is very close to proof and that would stomp all records is Sierp base 10. It has just one k remaining for a conjecture of k=9175! Cruelty is currently searching it at n=270K. Bring on that final prime Cruelty!

With the exception of Sierp base 36, all conjectures of k>1000 are or have been quite challenging to prove.


Gary

Would it be possible one day to have a records page/thread for things like this?

[mdettweiler]

Originally Posted by henryzz

Would it be possible one day to have a records page/thread for things like this?

Yes, I was thinking the same thing myself.

[MyDogBuster]

Riesel Base 39

Tested from n=3K-5K. 1775 primes found (see attached file)

7123 k's remaining + the 1 I am not testing = 7124 left

Continuing on

[gd_barnes]

Riesel base 48 is complete to n=25K; 43 k's remaining; now unreserved.

Riesel base 42 is at n=23K; 56 k's remaining; continuing to n=25K.

[mdettweiler]

Sierp. base 68 is complete to n=100K, no primes. Results for 25K-100K are attached; unreserving.

Reserving Sierp. base 86 from n=25K-100K.

[gd_barnes]

Riesel base 42 is complete to n=25K; 53 k's remaining; now unreserved.

That takes care of all of the "easier" bases <= 100 on both sides up to n=25K. All remaining bases should have well in excess of 60 k's remaining at n=25K.

[mdettweiler]

Sierp. base 86 is complete to n=100K, no primes. Results are attached for n=25K-100K; releasing.