Bases 6-32 reservations/statuses/primes

[michaf]

Primes above 5k for base 24:
(some have two primes, as I was too late/lazy to remove them from the batch )

6751*24^n+1 5046 removed 2343 candidates
9166*24^n+1 5074 removed 3279 candidates
8531*24^n+1 5084 removed 488 candidates
24354*24^n+1 5125 removed 3701 candidates
29054*24^n+1 5149 removed 4190 candidates
20459*24^n+1 5159 removed 5475 candidates
16894*24^n+1 5201 removed 5105 candidates
2956*24^n+1 5228 removed 4401 candidates
22684*24^n+1 5245 removed 3301 candidates
22081*24^n+1 5274 removed 3039 candidates
25579*24^n+1 5321 removed 3269 candidates
11724*24^n+1 5373 removed 4450 candidates
2796*24^n+1 5392 removed 3004 candidates
21111*24^n+1 5422 removed 2957 candidates
10019*24^n+1 5481 removed 3440 candidates
28041*24^n+1 5710 removed 2467 candidates
23566*24^n+1 5740 removed 4119 candidates
2211*24^n+1 5756 removed 5042 candidates
21981*24^n+1 5776 removed 4841 candidates
26876*24^n+1 5992 removed 3666 candidates
2914*24^n+1 5997 removed 3619 candidates
25661*24^n+1 6062 removed 3790 candidates
30403*24^n+1 6076 removed 8007 candidates
5301*24^n+1 6314 6916 removed 5070 candidates
13491*24^n+1 6362 removed 5848 candidates
26119*24^n+1 6363 removed 2905 candidates
3436*24^n+1 6416 removed 3126 candidates
18764*24^n+1 6477 removed 1938 candidates
7641*24^n+1 6480 removed 3755 candidates
14681*24^n+1 6672 removed 4027 candidates
8701*24^n+1 6722 removed 5501 candidates
2491*24^n+1 6796 removed 2824 candidates
4591*24^n+1 7042 removed 2930 candidates
29354*24^n+1 7167 removed 4859 candidates
22044*24^n+1 7387 removed 3667 candidates
15664*24^n+1 7403 removed 3311 candidates
16419*24^n+1 7513 removed 3583 candidates
27989*24^n+1 7563 removed 2340 candidates
6711*24^n+1 7614 removed 2424 candidates
26841*24^n+1 7614 removed 2794 candidates
15321*24^n+1 7638 removed 2097 candidates
2774*24^n+1 7763 removed 2620 candidates
7689*24^n+1 7791 removed 3221 candidates
5490*24^n+1 7971 removed 6782 candidates
11069*24^n+1 7995 removed 2628 candidates
23563*24^n+1 8042 removed 7304 candidates
20851*24^n+1 8144 removed 2474 candidates
14149*24^n+1 8273 removed 1835 candidates
5101*24^n+1 8310 removed 2381 candidates
12686*24^n+1 8524 removed 4893 candidates
18611*24^n+1 8586 removed 2865 candidates
22709*24^n+1 8615 removed 2025 candidates
12574*24^n+1 8681 removed 2033 candidates
10054*24^n+1 8969 removed 2228 candidates
18971*24^n+1 8974 removed 2497 candidates
17566*24^n+1 8994 removed 2593 candidates
6469*24^n+1 9017 removed 3762 candidates
10894*24^n+1 9129 removed 2333 candidates
25786*24^n+1 9342 removed 2071 candidates
27971*24^n+1 9368 removed 2976 candidates
15689*24^n+1 9453 removed 2565 candidates
27409*24^n+1 9537 removed 1723 candidates
24496*24^n+1 9874 removed 2656 candidates
21381*24^n+1 9876 removed 1574 candidates
16349*24^n+1 10021 removed 1478 candidates
30284*24^n+1 10101 removed 2287 candidates
19326*24^n+1 10162 removed 2376 candidates
24121*24^n+1 10276 removed 2470 candidates
11984*24^n+1 10899 removed 2760 candidates
12939*24^n+1 10911 removed 4176 candidates
26671*24^n+1 10926 removed 4151 candidates
10701*24^n+1 10988 removed 4165 candidates
4497*24^n+1 11065 removed 4505 candidates
16949*24^n+1 11123 removed 3441 candidates
5781*24^n+1 11198 removed 2266 candidates
5549*24^n+1 11389 removed 3705 candidates
7601*24^n+1 11426 removed 1528 candidates
22986*24^n+1 11436 removed 2107 candidates
28851*24^n+1 11796 removed 2897 candidates
14404*24^n+1 12219 removed 2992 candidates
13084*24^n+1 12293 removed 2572 candidates
27724*24^n+1 12459 removed 2001 candidates
28426*24^n+1 12572 removed 1621 candidates

[michaf]

Primes found above n=5000 for Riesel base 31:

56802*31^n-1 5256 removed 4867 candidates
100644*31^n-1 5415 9658 9807 removed 8641 candidates
13992*31^n-1 5608 7146 9416 removed 6421 candidates
128760*31^n-1 5755 removed 3877 candidates
107054*31^n-1 5799 removed 5062 candidates
98678*31^n-1 5808 removed 4470 candidates
103700*31^n-1 5835 5883 7825 removed 7819 candidates
68160*31^n-1 5926 removed 2933 candidates
125354*31^n-1 6047 removed 5566 candidates
124160*31^n-1 7210 removed 8727 candidates
58620*31^n-1 7218 removed 7330 candidates
9222*31^n-1 8076 8440 removed 6544 candidates
106184*31^n-1 8588 removed 5024 candidates
83732*31^n-1 8681 removed 2481 candidates
76292*31^n-1 8698 removed 5776 candidates
60644*31^n-1 9423 removed 3296 candidates
69444*31^n-1 10363 10537 removes 6243 candidates
37578*31^n-1 10766 removes 8085 candidates
109640*31^n-1 11083 removes 8403 candidates
110804*31^n-1 11614 removes 4279 candidates
87504*31^n-1 11793 removes 6153 candidates
6474*31^n-1 12569 removed 6059 candidates

[gd_barnes]

Originally Posted by michaf

I've finished up:

Sierpinski base 24 upto n=13000
Riesel base 31 upto n=14000

I'll report the primes found soon

Great work Michaf! The k's on Riesel base 31 are going down fast! I would never have guessed that for a base where b=2^q-1, which generally have very high conjectures.

[VBCurtis]

New projects are like new toys- everyone wants to play a little bit, but most get bored and move on quickly. For now, I'm playing.
Riesel base 28, I took 8991 to 15k without a prime. I'll work on 8469 next.

I really want to find a prime for this project before losing interest, so I'll likely work my way up the list going to 15k until completing the list or finding a prime. Smaller n's should yield more primes.

It's fun to see many of the RPS crew pitching in here, and I grudgingly admit the pages are very well organized by Gary.
-curtis

[tnerual]

bye bye 19122 ... on sierpinsky base 16

[gd_barnes]

Originally Posted by VBCurtis

New projects are like new toys- everyone wants to play a little bit, but most get bored and move on quickly. For now, I'm playing.
Riesel base 28, I took 8991 to 15k without a prime. I'll work on 8469 next.

I really want to find a prime for this project before losing interest, so I'll likely work my way up the list going to 15k until completing the list or finding a prime. Smaller n's should yield more primes.

It's fun to see many of the RPS crew pitching in here, and I grudgingly admit the pages are very well organized by Gary.
-curtis

Thanks Curtis and welcome to the effort! Have fun and knock out a few k's!

There should be something for people of all tolerances and resources. It's nice to see someone search some k's at a low limit too.


Gary

[gd_barnes]

I have completed Riesel base 16 to n=25K for all k's. There are 33 k's remaining excluding 3 being effectively worked on by the Riesel Sieve project. Of the 33 remaining, Jean Penne is effectively working on 4 of them for base 4 for n=100K-131K (50K-65.5K base 16) so I show them reserved by him.

Some of the unreserved k's show searched to n=65K or 75K. That was not me. Those are testing limits converted from applicable limits on the RPS site for base 2, i.e. the limit for k=443 base 2 is n=260K so I show n=65K for base 16. Even though those limits have been obtained, I effectively double-checked them to n=25K and I'll do the same up to n=65K or 75K on those 3 k's unless someone else wants to. We've had some issues with errors in this range of k on base 2 and the double-check shouldn't be a very large effort.

I'm sieving all remaining k's now for n=25K-200K on 2 cores and will post files for each k when I reach P=400G. That should be around Tuesday. I'll then resume sieving on Sierp base 16 for the team drive.

We could make a team drive (or 2 separate team drives) out of both sides of base 16. I'll ask a little more of what people think when sieving gets closer to completion. I'm open for any assistance on sieving if people have the resources.


Gary

[em99010pepe]

404*12^n+1 done up to n=88542

Carlos

[tnerual]

byebye 24262 sierpinski base 16

[mdettweiler]

Originally Posted by gd_barnes

This will be most likely slightly > 1 CPU week worth of work, which would be one calendar week if you have one core running 24/7.

The estimate is based on a Dell core-duo 1.66 Ghz desktop that LLR's about like a 3.0 Ghz P4 desktop. Test/candidate at n=62.3K was ~447 secs.

Just thought I'd give you a heads up. It may still be about 2 weeks before we get the team drive started on Sierp base 16 so this may work for your resources. If not, you can still feel free to test another one of the Sierp base 16 k's or Riesel base 16 k's after I get those sieved to P=400G within about 2-3 days. Both would probably still be less CPU time to complete to n=100K.

Gary

Yeah, that should work fine for me. I run my computer only during the day, so that would probably take about two and a half weeks, roughly (provided that I don't find a prime, which would of course finish it up a lot quicker!).

[mdettweiler]

Originally Posted by gd_barnes

I have completed Riesel base 16 to n=25K for all k's. There are 33 k's remaining excluding 3 being effectively worked on by the Riesel Sieve project. Of the 33 remaining, Jean Penne is effectively working on 4 of them for base 4 for n=100K-131K (50K-65.5K base 16) so I show them reserved by him.

Some of the unreserved k's show searched to n=65K or 75K. That was not me. Those are testing limits converted from applicable limits on the RPS site for base 2, i.e. the limit for k=443 base 2 is n=260K so I show n=65K for base 16. Even though those limits have been obtained, I effectively double-checked them to n=25K and I'll do the same up to n=65K or 75K on those 3 k's unless someone else wants to. We've had some issues with errors in this range of k on base 2 and the double-check shouldn't be a very large effort.

I'm sieving all remaining k's now for n=25K-200K on 2 cores and will post files for each k when I reach P=400G. That should be around Tuesday. I'll then resume sieving on Sierp base 16 for the team drive.

We could make a team drive (or 2 separate team drives) out of both sides of base 16. I'll ask a little more of what people think when sieving gets closer to completion. I'm open for any assistance on sieving if people have the resources.


Gary

I noticed a little error on the Riesel Base 16 reservations page: Though it seems fine to me in the actual page, the title is set to "Sierpinski conjecture base 16 reservations" rather than Riesel base 16 like it should be.