Bases 6-32 reservations/statuses/primes

[Siemelink]

Primality testing 258*27^69942-1 [N+1, Brillhart-Lehmer-Selfridge]
Running N+1 test using discriminant 3, base 3+sqrt(3)
Running N+1 test using discriminant 3, base 6+sqrt(3)
258*27^69942-1 is prime! (11606.0856s+0.0313s)

Even though this (k, n) was marked as completed to 100k, I found it running on my PC. Just to be sure I continued and found the prime. If I calculate it well it is just out of the top 5000.

Happy, Willem.

[rogue]

3253*30^43291-1 is prime!

Being the heaviest k (about 17% of the tests compared to the average of about 6% for all k). I suspect that someone had searched base 30 to n = 40K because this range has been dry and I had expected to find at least one other prime before I got this far. Of note, I have searched all of my k to n = 44K and I'm continuing.

[gd_barnes]

Originally Posted by Siemelink

Primality testing 258*27^69942-1 [N+1, Brillhart-Lehmer-Selfridge]
Running N+1 test using discriminant 3, base 3+sqrt(3)
Running N+1 test using discriminant 3, base 6+sqrt(3)
258*27^69942-1 is prime! (11606.0856s+0.0313s)

Even though this (k, n) was marked as completed to 100k, I found it running on my PC. Just to be sure I continued and found the prime. If I calculate it well it is just out of the top 5000.

Happy, Willem.

Very good Willem. I couldn't find why I marked it as completed to n=100K either. I'm glad you were diligent in checking. I think there were many similar k-values for bases from 20-30 and you had finished up other k's on this base so I just goofed.

Yep, just missed...100113 digits. Darn!


Gary

[gd_barnes]

Originally Posted by rogue

3253*30^43291-1 is prime!

Being the heaviest k (about 17% of the tests compared to the average of about 6% for all k). I suspect that someone had searched base 30 to n = 40K because this range has been dry and I had expected to find at least one other prime before I got this far. Of note, I have searched all of my k to n = 44K and I'm continuing.

Possible I suppose. I personally searched all k's to n=25K for this base and found that they went unusually barren past n=12.5K, only finding one more prime to n=25K after finding many up to that point. I know where your one prime went: Grobie found it for k=25 at n=34205!

One other thing: Grobie also searched k=225, 239, and 249 to n=50K and released them ~a week ago. Just thought I'd mention it in case you want to also pick them up with the rest of your k's when your testing hits n=50K.


Gary

[Siemelink]

Originally Posted by Siemelink

Hi everyone,
I still have (32 || 65 || 155) *26^n+1, it is at 95219 now. It stalled because other people keep using that PC. Maybe this week I'll clean up.

Having fun, Willem.

This range finished, no primes.

[rogue]

Originally Posted by gd_barnes

Possible I suppose. I personally searched all k's to n=25K for this base and found that they went unusually barren past n=12.5K, only finding one more prime to n=25K after finding many up to that point. I know where your one prime went: Grobie found it for k=25 at n=34205!

One other thing: Grobie also searched k=225, 239, and 249 to n=50K and released them ~a week ago. Just thought I'd mention it in case you want to also pick them up with the rest of your k's when your testing hits n=50K.

OK, I'll take them.

[grobie]

Reserving Riesel base 28 k=4322 to 50k

[grobie]

Originally Posted by grobie

Reserving Riesel base 28 k=4322 to 50k

Completed to n=50k

[michaf]

A few primes for the following Riesel base 24 k-n-pairs:

15014 10712
16126 10913
11819 10948
2371 11007
11406 11251
18751 11375
18314 11424
17704 11470
4799 11848
2819 11860
25721 12261
21721 12499
2631 12661
14818 12854
28694 13378
16546 13395
19359 13512
11406 13599
18101 13867
6376 13877
30721 13929
3611 14153
17094 14254
15334 14872
6236 14891
364 15014

The last one also eliminated k=8736

[tnerual]

k*31^n+1 tested up to n=5000 ... 3036 k remaining

i continue

[mdettweiler]

Reserving 8991*28^n-1 from n=15K to n=50K.