20190513, 15:04  #23 
Mar 2006
Germany
2^{3}×3^{2}×41 Posts 
New:
Table for Williams primes (b±1)•b^{n}±1 with  links to categories  links to the list tables of the four types  files for smallest nvalue of bases ≤1024 Just only uploaded those ASCII files, but have to be categorized in the file category. This should be done later perhaps with a template. Clicking the file link will lead to the file, if logged in new files can be uploaded, old files can be deleted (history see next). ToDo: create an own pages for any type to show remaining/open bases without any values found so far and the history. And not yet included:  found yesterday 362*363^142876+1 is prime (365752 digits) Last fiddled with by kar_bon on 20190514 at 13:03 
20190514, 13:19  #24 
Mar 2006
Germany
2^{3}×3^{2}×41 Posts 
A table for all types of Williams primes with links to the category, the data tables and the files with smallest nvalues are moved to the main page of "Williams prime" (not the category anymore), because a search will first lead to this page.
More pages to come, much to do further, statistic is growing. 
20190515, 03:53  #25 
Romulan Interpreter
"name field"
Jun 2011
Thailand
9962_{10} Posts 
Small nitpicking: on the Riesel primes table, it is mentioned "green = base reserved", etc, but actually, those are not bases, those are "k"s. The base is always 2. This is a bit confusing, when you search the web looking for Riesel primes in some base.
Also, all odd numbers can be written as k*2^n1 for some k and n, therefore all primes are Riesel primes according with your definition. It has to be amended to say something like "where 2^n>k" or so, similar to the Proth side. Last fiddled with by LaurV on 20190515 at 03:56 Reason: spacing 
20190515, 07:47  #26 
Mar 2006
Germany
2952_{10} Posts 
Thanks for the hint.
I've changed the definition on Proth/Riesel prime page and replaced the 'base' on the table pages. 
20190515, 13:46  #27 
Mar 2006
Germany
2952_{10} Posts 
Update for "Williams prime":
Instead of linking to tha file of the least nvalue I created an own page which shows wanted values and the data table. This table is generated from a CSV file (had to be renamed and csved first) and showing on that page using an extension. More and more linkings to related pages will occur like Williams, Near Woodall and Riesel for example. Done: own pages for all 4 types of Williams primes with files created, Last fiddled with by kar_bon on 20190516 at 22:31 Reason: update 
20190517, 11:53  #28 
Mar 2006
Germany
2^{3}×3^{2}×41 Posts 
The values for Williams primes of the form (b1)•b^n1 are now for b <=64 (& 128) online and the table shows them correctly even using data from other primes:
For bases power of 2 the data will be retrieved from their Riesel primes (nvalues, search range, reserved, date). The only thing here: I have to 'teach' the table to show a color (perhaps a different for reservation and reusing) if a Riesel kvalue is involved. This reuse will minimize of doing double work here and on other prime sequences. Last fiddled with by kar_bon on 20190517 at 11:57 Reason: mmh 
20190524, 05:46  #29 
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36
2^{2}·7·11^{2} Posts 
Found some errors in the wiki pages:
1. Williams prime MP 452, the "Max n" is 71490, not 71940. 2. Williams prime MM 128, the "Max n" is 1.95M (not 800000), and this sequence is reserved by Cruelty, see the post https://mersenneforum.org/showpost.p...9&postcount=72 by Cruelty. 3. Williams prime MP 363, the "Max n" should be 142876, why 142870? 4. For the external links of the page Williams prime, the range of b of http://harvey563.tripod.com/wills.txt is 3 ≤ b ≤ 2049, not 2 ≤ b ≤ 2048. Last fiddled with by sweety439 on 20190524 at 06:01 
20190524, 06:10  #30 
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36
2^{2}×7×11^{2} Posts 
Also, there are errors in all four "Williams prime least" page, the range of bases b is 2 ≤ b ≤ 1024, not 2 ≥ b ≥ 1024.

20190524, 11:58  #31 
Mar 2006
Germany
101110001000_{2} Posts 
Thanks, I've corrected some errors.
Williams 128: not yet, waiting for response. Gen. repunit prime: not for now, perhaps later 
20190527, 06:14  #32 
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36
3388_{10} Posts 
For Williams prime MM 2, the "Max n" is not 83,000,000, since it is not verified whether any undiscovered Mersenne primes exist between the 47th (M43,112,609) and the 51st (M82,589,933).
Also, for Williams prime MP 2, the "Max n" is 8589934591 = 2^331, not 8,590,000,000, since it is not known whether F33 = 2^(2^33)+1 is prime or not. Last fiddled with by sweety439 on 20190527 at 06:21 
20190527, 10:02  #33 
Mar 2006
Germany
2^{3}×3^{2}×41 Posts 
I've changed the nmax for Proth prime k=1 so this value will be listed for Williams MP 2.
The nmax for Williams MM 2 = nmax for Riesel k=1 (=Mersenne primes = GIMPS) is correct here. The GIMPS milestone lists (currently) "All exponents below 83 676 167 have been tested at least once." so this is the same value taken for all other sequences in the Wiki. The double check (=verified) is only available for GIMPS, (mostly) no other prime seq. in the Wiki is double checked by others (hardware & software) and searched ranges or found primes (Top5000 or not) are depend on any remark in the forum or other web sources. 
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