20190623, 11:44  #56  
Mar 2006
Germany
101110001000_{2} Posts 
Quote:


20190623, 14:02  #57  
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36
3×7^{2}×23 Posts 
Quote:


20190623, 14:25  #58  
Mar 2006
Germany
2^{3}×3^{2}×41 Posts 
Quote:


20190624, 20:54  #59 
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36
3×7^{2}×23 Posts 
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. Last fiddled with by sweety439 on 20190624 at 20:55 
20190624, 20:57  #60 
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36
3×7^{2}×23 Posts 
There are also OEIS sequences:
Smallest Williams MP: A305531 Smallest Cullen: A240234 Smallest Woodall: A240235 
20190626, 18:28  #61 
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36
3×7^{2}×23 Posts 
@kar_bon, you missed a sequence: Williams PP 171, it also has no primes with exponent n<=1024.
Done. Last fiddled with by kar_bon on 20190626 at 20:16 
20190702, 15:46  #62 
"Dylan"
Mar 2017
1120_{8} Posts 
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. 
20190703, 07:48  #63 
Mar 2006
Germany
2^{3}·3^{2}·41 Posts 
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. 
20190704, 13:52  #64 
Mar 2006
Germany
5610_{8} Posts 
I've created an alternate table for Carol/Kynea:
 no sieve files listed  no contributors listed  nvalues 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:   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 nvalue If more bases will be filled in it's better to change the template for categorizing any base into different parts (like 1999, 10001999, 20002999,...). 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. Last fiddled with by kar_bon on 20190705 at 13:25 Reason: links to "without"'s 
20190723, 18:11  #65 
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36
3×7^{2}×23 Posts 
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^yy^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^n1)^22 or (b^n+1)^22 are primes for a fixed b, why not (for Leyland primes) list all y such that x^y+y^x or x^yy^x are (probable) primes for a fixed x?

20190724, 11:35  #66  
Mar 2006
Germany
2952_{10} Posts 
Quote:
On the other hand most of those numbers (not yet all of more than 1400) are with different x/yvalues 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 yvalue you get this. 

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