Prime-Wiki

[kar_bon]

Originally Posted by sweety439

If a prime in the list is also other classes of primes, I think it should be in the notes, like the article Riesel 3, ...

Sorry for not including hundreds of years of prime searching in a 6 months running Wiki and having a real life, too but only (here on earth) 24 hours a day to work on such pages.

[sweety439]

Originally Posted by kar_bon

Sorry for not including hundreds of years of prime searching in a 6 months running Wiki and having a real life, too but only (here on earth) 24 hours a day to work on such pages.

However, ALL Williams MP 5 are also Generalized Fermat primes, but only "20462" and "70130" has this note.

[kar_bon]

Originally Posted by sweety439

However, ALL Williams MP 5 are also Generalized Fermat primes, but only "20462" and "70130" has this note.

Posting over and over again the same isn't of any help. I only used the comments from the Top5000 entries there. I also have to determine the best way how to put those many different prime type you mentioned in the comments of any n-value of any base and prime type.

[sweety439]

In the page Williams prime, the "Available Online Sequences" section only lists 2<=b<=10, however, currently Williams MM has available OEIS sequences for all 2<=b<=14, and Williams MP has available OEIS sequences for all 3<=b<=12 (with the exception of b=4).

Also, currently Cullen has available OEIS sequences for all 2<=b<=18 (with the exception of b=5, b=11, b=13 and b=17), and Woodall has available OEIS sequences for all 2<=b<=20.

[sweety439]

There are also OEIS sequences:

Smallest Williams MP: A305531
Smallest Cullen: A240234
Smallest Woodall: A240235

[sweety439]

@kar_bon, you missed a sequence: Williams PP 171, it also has no primes with exponent n<=1024.

Done.

[Dylan14]

I've generated a template for showing the history of sieve files.

This template could be useful for the CRUS sequences as well as projects like the Carol/Kynea search.
Calling is fairly simple: there are 5 parameters (date, upper range, contributors, lower range and post), of which the last 2 are optional.
If the 4th parameter is not given, it is assumed that the file starts from 1.

[kar_bon]

Thanks, I've changed the template a little bit.

No need to give the range start as separate parameter, range given at all, so this template is more than the others in handling parameters: date, param(mostly), contributor, post ID(optional).

I also added this entry to CK50.

[kar_bon]

I've created an alternate table for Carol/Kynea:
- no sieve files listed
- no contributors listed
- n-values listed in one line (mostly sufficient)

Done so far:
- all (hope so) available historical data from
-- 3 threads in this forum
-- old page from S.Harvey
-- some old Yahoo posts

(A short table for copying the data into an editor is available here.)

Links see here, this page has to be updated after the following is done:

- some bases without Carol or Kynea to insert Done. For all bases <= 3000 there are currently
-- 96 without a Carol prime
-- 78 without a Kynea prime
- remaining data for bases<=3000 from my page/search
- two tables with least Carol or Kynea n-value

If more bases will be filled in it's better to change the template for categorizing any base into different parts (like 1-999, 1000-1999, 2000-2999,...).

Nice to have:
- some statistics
- some graphs

History entries and reserving any base (see base 2 for example) are also available as well as inserting a sieve file (see base 50).
The same procedure can be done for other prime types.

[sweety439]

For Leyland primes, why the pages are "Leyland_prime P x y" and "Leyland_prime M x y" (a page for a single (probable) prime)? Not "Leyland_prime P x" and "Leyland_prime M x" (list all y's such that x^y+y^x or |x^y-y^x| are (probable) primes)? Like the pages for Williams primes and the Carol/Kynea primes and the Cullen/Woodall primes? e.g. for the Carol/Kynea primes, the pages list all n such that (b^n-1)^2-2 or (b^n+1)^2-2 are primes for a fixed b, why not (for Leyland primes) list all y such that x^y+y^x or |x^y-y^x| are (probable) primes for a fixed x?

[kar_bon]

Originally Posted by sweety439

For Leyland primes, why the pages are "Leyland_prime P x y" and "Leyland_prime M x y" (a page for a single (probable) prime)?

Those numbers are more individual than Carol/Kynea. Finder/prover and dates are more different.
On the other hand most of those numbers (not yet all of more than 1400) are with different x-/y-values so most categories as "Leyland_prime P x" would contain only one member. This is not very clear and a table is also harder to create.

If you want such list, sorting the table by x- or y-value you get this.