[quote=Siemelink;188438]
Oh, the base 49 tests have reached 150,000 and I have run them from 180,000 to 200,000 as well.

Cheers, Willem.[/quote]

Can you please provide full results up to n=150K on base 49?


Gary

[quote=gd_barnes;188440]
Can you please provide full results up to n=150K on base 49?

Gary[/quote]

Hi Gary,

The reason why I don't keep the residues is that my access to the other machines is spotty. Tracking residues becomes a bother that way.

Cheers, Willem.

[quote=Siemelink;188443]Hi Gary,

The reason why I don't keep the residues is that my access to the other machines is spotty. Tracking residues becomes a bother that way.

Cheers, Willem.[/quote]

Spotty as in once/week or once/month? A flash drive works quite well for copying residues off of little-accessed machines.

[quote=rogue;187476]
Completed to 35000 and continuing. They seem to be getting quite a bit more sparse.[/quote]

k=84998 has 2 primes shown so 19 unique k's with primes leaves 340 k's remaining at n=35K.

Reserving Sierp. base 57 for n=25K-100K.

Sierp. base 37 is complete to n=100K. Results are attached for the n=25K-100K range, for which I found one prime, on k=1866, which if memory serves was the heaviest-weight of the bunch. Releasing this base.

Reserving Sierp. base 68 up to n=100K.

Riesel Base 53
 

Riesel Base 53 n=10K-25K complete - Unreserving

26 primes found

Results emailed

2098*53^10417-1
5212*53^10591-1
128*53^11090-1
944*53^11456-1
1376*53^11626-1
1576*53^11635-1
3622*53^11919-1
712*53^12055-1
5198*53^12600-1
1068*53^13129-1
224*53^13940-1
1922*53^14340-1
3686*53^15462-1
3806*53^15666-1
2854*53^15727-1
3416*53^16578-1
884*53^18236-1
438*53^19357-1
3194*53^20456-1
598*53^20669-1
3266*53^22102-1
764*53^22712-1
4976*53^23086-1
4790*53^23124-1
4184*53^23724-1
650*53^24288-1

Sierpinski base 57 proven!
 

378*57^67340+1 is prime!

This is the final k for this base. :big grin:
:party: :banana: :party: :banana: :party:

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

Results are attached for this base from n=25K up to the prime.

Nice one Max!

I'll bring some more balloons :party:

[quote=mdettweiler;188716]378*57^67340+1 is prime!

This is the final k for this base. :big grin:
:party: :banana: :party: :banana: :party:

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

Results are attached for this base from n=25K up to the prime.[/quote]

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! :smile:

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


Gary