Bases 2 & 4 reservations/statuses/primes

[kar_bon]

172167*2^282649-1 is prime!

[Jean Penné]

Originally Posted by kar_bon

172167*2^282649-1 is prime!

Hurrah! 12 k's remaining!!
Jean

[Jean Penné]

I wish to reserve again k = 9519 (I already tested it up to n = 581680) for double-check, and then continuing further if necessary...

Regards,
Jean

[gd_barnes]

Originally Posted by Jean Penné

I wish to reserve again k = 9519 (I already tested it up to n = 581680) for double-check, and then continuing further if necessary...

Regards,
Jean

That would be a great k to find a prime for. It would remove it from Riesel base 2 even-n, base 4, base 16, AND base 256. I think that's the only k that hits 4 different bases.

It would be killing 4 birds with one stone. lol


Gary

[gd_barnes]

For sierp base 2 odd-n, k=53133, 60357, 84363, and 85287 are now at n=500K. No more primes to report.

Along with this effort, I have been double-checking k=9267, 32247 for odd-n and k=23451 and 42717 for even-n. (k=42717 to see if there was a lower prime.) Please make note for any future double-checking effort that all 4 of these k's have been double-checked to n=500K.

Due to how much it is slowing down things, I am now stopping the double-checking and continuing on with just the 4 remaining Sierp odd-n k's up to n=600K.


Gary

[Jean Penné]

Originally Posted by gd_barnes

For sierp base 2 odd-n, k=53133, 60357, 84363, and 85287 are now at n=500K. No more primes to report.

Along with this effort, I have been double-checking k=9267, 32247 for odd-n and k=23451 and 42717 for even-n. (k=42717 to see if there was a lower prime.) Please make note for any future double-checking effort that all 4 of these k's have been double-checked to n=500K.

Due to how much it is slowing down things, I am now stopping the double-checking and continuing on with just the 4 remaining Sierp odd-n k's up to n=600K.


Gary

Very nice work, Gary!
For even n's:

k = 60849 is now at n = 1,980,450 with no prime ; continuing up to 2M...

I am also continuing the big sieving on Sierp base 2 odd and even n's (8 k's)
up to n = 16M base 2 ; the sieve is now at p ~ 171.8 billions.
I shall put the 8 .npg files on my personal site when 200 billions reached.
Regards,
Jean

[Jean Penné]

Riesel even n's :

I double-checked k = 9519 up to n = 581680, finding no prime.

I continue testing : n is now up to 635800 with no prime found...

Riesel odd n's :

k = 148323 is now tested up to n = 651719 with no prime, continuing...

Sierpinski even n's :

k = 60849 is now at n = 1991190 with no prime ; a prime below 2M becomes now unlikely...

Presieved files :

All the files involved in the Liskovets-Gallot conjectures can be now downloaded from my personal site at URL :

http://jpenne.free.fr/ConjRus/

I am continuing to sieve for all k's for which no prime is found, and the corresponding files are updated from time to time.
When a prime is found, the corresponding file is kept for double-checking purposes, but no more updated.

Regards,
Jean

[gd_barnes]

The remaining 4 Sierp odd-n k's are now complete to n=600K. No additional primes were found.

I'm unreleasing these k's for now and if possible may assist in bringing some of the other Liskovets-Gallot conjectures up to n=500K or 600K.

Once we get all of the k's on the Liskovets-Gallot conjectures up to the same n-level (except the k's near n=2M), I think it'd be good to run them through an LLRnet server. What does everyone think of that?


Gary

[gd_barnes]

Jean,

Without doing some detailed looking, how many k's are unreserved that you have sieved? Also, what n-value have you sieved them to and how deep were they sieved?

I will reserve all remaining unreserved k's to n=600K for the conjectures. I now have a full quad that I'll be able to put them on.


Gary

[Jean Penné]

Originally Posted by gd_barnes

Jean,

Without doing some detailed looking, how many k's are unreserved that you have sieved? Also, what n-value have you sieved them to and how deep were they sieved?

I will reserve all remaining unreserved k's to n=600K for the conjectures. I now have a full quad that I'll be able to put them on.


Gary

Gary,

I think the responses to your questions can all been found on my personal page at :

http://jpenne.free.fr/ConjRus/

I am sieving all the k's involved by the conjectures and for which no prime is found ; the active files are updated from time to time on the site, and as their format is NewPGen, the first line shows how deep they are sieved.

When a prime is found, the file is neither more sieved nor updated, but remains available for double-check.

For the prime tests, here is my to-day's status :

Sierpinski even n's / base 4 :

k = 60849 is now tested up to 1999866 with no prime found, so, my 2M range is completed, and I release this k...
Note I have not been very lucky with Sierp. base 4, testing three k's during two years up to 2M without finding any prime... I hope these primes are not too far above this point!

Riesel even n's :

k = 9519 is up to 742816, no prime, continuing...

Riesel odd n's :

k = 148323 is up to 712247, no prime, continuing...

Regards,
Jean

[gd_barnes]

Thanks for the response Jean. I need to go back through about 10 days worth of posts to get my web pages updated. I'll then post exactly all of the k's that I'm reserving.


Gary