20190401, 01:04  #12 
"Mike"
Aug 2002
1D8A_{16} Posts 
We always wondered why the wiki database was over 500 megabytes!

20190403, 02:00  #13  
Nov 2016
11×191 Posts 
Quote:
The dual of Proth prime k*2^n+1 is 2^n+k, for odd k. (there is no prime for k=78557 with both forms) The dual of Riesel prime k*2^n1 is 2^nk, for odd k. (there is no prime for k=509203 with both forms) Last fiddled with by sweety439 on 20190403 at 02:02 

20190403, 09:08  #14 
Mar 2006
Germany
2×3^{2}×157 Posts 
The terminology "Williams prime" is only defined/named after the paper by H.C.Williams with primes of the form (b1)*b^n1.
So other kinds of similiar formed numbers are not "Williams". You created the Williams prime page on Mersennewiki on 20180330 and extended it until 20180701. A month later Mersennewiki was shut down. On 20181001 you created such page at Wikipedia and looking the history we see the same manner: editing war. And again:  no search limits given  phrases like "It is conjectured..." Who did? Where find sources?  only reference: the page of S.Harvey (only original Williams primes list)  the last ext. link is your own data file! Alll that data is your own research and this is against Wikipedia rules, and I don't know why the other 7 kinds of your Williams primes and data are still remain there. Citation: Code:
If no reliable independent sources can be found on a topic, Wikipedia should not have an article about it. If you discover something new, Wikipedia is not the place to announce such a discovery. About "Xayahrainie": "Xayah" and "Rainie" are characters of the game "League of Legends", the same as your pages in Mersennewiki for "Nexus" and "Ahri" primes! Giving such names by your own is not acceptable. Even "Carol/Kynea" is not officially registered but adopted on many pages, even C.Caldwells Top5000 list only accept the phrase "Nearsquare". So if such forms of numbers will be listed on the PrimeWiki they are not called Williams primes but "more likely" or "similiar". And the only source is giving your name in real as like S.Harvey or my name in the wiki. Another topic is the specification of a search range (and not only to n=1000): others can continue the search only if they know where to begin. So instead of giving thousands of small values search a base to a higher nrange and then continue on a next base. Concentrate on a few topics and not on hundreds as in your "xddd" thread in the "Blogorrhea", and no: I will also do not accept any lists of numbers in duodecimal. Last fiddled with by kar_bon on 20190418 at 14:40 Reason: typos 
20190405, 12:16  #15 
Mar 2006
Germany
2·3^{2}·157 Posts 
Made some big advances in using and displaying Carol/Kynea primes:
 the lists for a powerof base are generated automatically on the basepage using data from to parentsbase (for example base 8 is using the data from base 2)  all lists are now visible and correct in the table page  a new category for "powerof" created  links to Top5000 ID if available are given on the base page using the same technique/template as for Riesel primes  automatically generates a page title instead showing the wikiinternal Some small edits could be still done   Both done: sorting by base in all categories. I think the next topic are the original Williams primes (b1)*b^n1 building templates and pages/table for some bases as example. PS: The page with the generated table is ~850 bytes in size, not that much but as a normal page with a table to edit:  the table only in text mode is ~2000 bytes in size for now  every edit would save that page with additional baseentries, so this page would grow  the bigger the table the harder to edit it > confusingly Now:  all data getting from the special basepage  no edits of the table needed So creating a new base page with the templatedata for a base and the table page will show the new data. Last fiddled with by kar_bon on 20190406 at 23:23 Reason: sorting in categories done by template 
20190412, 22:51  #16 
Mar 2006
Germany
2×3^{2}×157 Posts 
Williams primes
The first attempts for Williams primes (and similiar types) are done.
The Category is shown like a portal page, perhaps this should be done on the main page later. There're four types of Williams primes, internally differentiated by a two char coding representing the signs in the formulas (b±1)*b^n±1. So the original Williams prime of the form (b1)*b^n1 are named "MM" (1st sign minus, 2nd sign minus). From this internal namings the displayed titles and the categorizations are derived. My last search for 4*5^n1 can be found here containing the history, external links and the Top5000 IDs in the list. The basic primes should be Riesel (k*2^n1) and Proth (k*2^n+1) types, so creating a page for the type "Williams prime PM 2" which is "(2+1)*2^n1" or the same as "Riesel prime 3", the data from the page of the Riesel should be read and displayed on Williams page to avoid double edits. The same for Williams 3*4^n1 with different exponents from 3*2^n1. Done! Special categories for bases without any primes found yet Update:  bases 2 to 32 are available.  table created ToDo:  reusing from other types (not Riesel/Proth): example: 8*9^n1 should use 8*3^n1 Last fiddled with by kar_bon on 20190418 at 14:38 Reason: update 
20190419, 01:59  #17 
Mar 2006
Germany
2826_{10} Posts 
The template to support Proth primes (k*2^{n}+1) is created.
 Category for Proth primes with special subcategories like for Riesel primes  Overview as table More to come:  generalized Woodall/Cullen primes Last fiddled with by kar_bon on 20190419 at 16:07 Reason: links to cat.& table 
20190420, 03:48  #18  
Nov 2016
100000110101_{2} Posts 
Quote:


20190420, 03:55  #19  
Nov 2016
2101_{10} Posts 
Quote:


20190421, 04:26  #20  
Nov 2016
11×191 Posts 
Quote:
with fixed positive odd integer k Last fiddled with by sweety439 on 20190421 at 04:27 

20190421, 05:32  #21  
Aug 2006
1011011100110_{2} Posts 
Quote:
https://oeis.org/wiki/User:Charles_R...ouse_IV/Vanity I should note that this was written entirely in my private capacity and does not represent the opinion of the OEIS Foundation. 

20190421, 10:42  #22 
Mar 2006
Germany
2·3^{2}·157 Posts 
Thanks for the link.
The naming of special numbers is surely an issue and I try to explain these in the Wiki. I know using "Riesel prime" for primes of the form "k*b^n1" is not the best way but it's used over years not only in this forum. C.Caldwell is also using only a few named numbers in official. On the other hand it's easier to name a wikipage "Williams prime" instead of "(b1)*b^n1", also the search/find handling makes it more readable. The PrimeWiki is still in contruction mode instead of real professional use but if you got any suggestions to handle those namings different/better, I appreciate you motivation. 
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