Prime-Wiki
 

[size=+2]Welcome to [url='https://www.rieselprime.de/ziki/Main_Page']Prime-Wiki[/url].[/size]

After weeks of restoring the old pages of the MersenneWiki I now declare open the new one.

Editing in this wiki is only granted for registered users so please go [url='https://www.mersenneforum.org/showthread.php?t=24141']here[/url] to get an account.

There's plenty of work to do but the more participants the more can be done.

Not restored from the old Wiki
- all talk pages (but available by request)
- no user pages or their talk pages
- no big data tables (will be done using files) like Cunningham, Home prime, et al.
- some images

Please read some [url='https://www.rieselprime.de/ziki/Help:Contents']help pages[/url] especially the [url='https://www.rieselprime.de/ziki/Help:Wiki_rules']wiki rules[/url].

Helping out with some topics see the [url='https://www.mersenneforum.org/showthread.php?t=24114']What to do?[/url] thread. Most work has to be done by giving many articles the current status (sometimes oudated since 2008 or 2010).

Got any suggeestions? Please see this [url='https://www.mersenneforum.org/showthread.php?t=24115']thread[/url] for discussion.

Problems? Look [url='https://www.mersenneforum.org/showthread.php?t=24116']here[/url] to explain any issues with the wiki.

So far supported numbers/primes formats with some data:

- [url='https://www.rieselprime.de/ziki/Mersenne_prime']Mersenne primes[/url] M1-M51
- [url='https://www.rieselprime.de/ziki/Riesel_prime']Riesel primes[/url] k•2[sup]n[/sup]-1
- [url='https://www.rieselprime.de/ziki/Gen_Riesel_prime_5_1396']Genneral Riesel primes[/url] k•b[sup]n[/sup]-1 (Example: 1396•5^n-1)
- [url='https://www.rieselprime.de/ziki/Proth_prime']Proth primes[/url] k•2[sup]n[/sup]+1
- [url='https://www.rieselprime.de/ziki/Gen_Proth_prime_5_6436']Genneral Proth primes[/url] k•b[sup]n[/sup]+1 (Example: 6436•5^n+1)
- [url='https://www.rieselprime.de/ziki/Carol-Kynea_prime']Carol/Kynea primes[/url] (b[sup]n[/sup]±1)[sup]2[/sup]-2
- [url='https://www.rieselprime.de/ziki/Williams_prime'](generalized) Williams primes[/url] (b±1)•b[sup]n[/sup]±1
- [url='https://www.rieselprime.de/ziki/Gen_Woodall_prime'](generalized) Woodall primes[/url] n•b[sup]n[/sup]-1
- [url='https://www.rieselprime.de/ziki/Gen_Cullen_prime'](generalized) Cullen primes[/url] n•b[sup]n[/sup]+1
- [url='https://www.rieselprime.de/ziki/Leyland_number']Leyland numbers[/url]: x^y+y^x and x^y-y^x

Created:
- Template [url='https://www.rieselprime.de/ziki/Template:Last_update']Last update[/url]: puts a date on a page and sorts it into a [url='https://www.rieselprime.de/ziki/Category:Last_updated']hidden category[/url], to have them in focus if updating needed (for example the template "Greatest Mersenne Prime" has to be changed if a new prime was found)

- [url='https://www.rieselprime.de/ziki/Template:Navbox_Sieving_program']Navbox Sieving program[/url]: lists all programs and tools or links related

That handling should be used overall in the Wiki:
- A category named "Category:Sieving program" categorized in the related upper category "Software".
- The main page named the same "Sieving program" in "Category:Sieving program"
This main page holds general information, external links and the infobox (Template:Infobox Sieving program).
Every page listed in the infobox gets the same infobox at the end of the page, so all related pages are easy accessible.
For now there are many pages needed but will be added by time (help needed!).

Searching for say "sieving program" will instantly find the page (not the category) with all information.

Main page look changed, perhaps links to "How log in" or "Help" should be there, too.

Differentiated templates for InfoBoxes (like for a Mersenne prime on top right side) and NavBoxes (like for projects on bottom of the article).

Also changed the [url='https://www.rieselprime.de/ziki/Template:Navbox_Main']Navbox Main[/url] for subitem handling: simple *-list as wikitext.

Extended the [url='https://www.rieselprime.de/ziki/Editing#Links']edit links[/url] section with internal link icons examples.

Changed most categories from plural to singular (explanation see [url='https://www.rieselprime.de/ziki/Editing#How_to_wikify']here[/url]).

[url='https://www.rieselprime.de/ziki/Template:Infobox_Project']Infobox Project[/url] with new look created, just for now only an example.

Remarks:
- not given paramters can be omitted in the display (so 'ended' is empty/not given -> no display)
- platform/worktype can be made categories, so every project will be sorted in that cat.

Any other parameters to collect/displayed here?

Created template [url='https://www.rieselprime.de/ziki/Template:Kbn']Kbn[/url] to display numbers of the form k × b[sup]n[/sup]±1 in text format without writing "[noparse][sup]n[/sup][/noparse]" every time.

Most formats like Mersenne, (gen.) Fermat, Proth, Riesel numbers are doable.
Examples are given in the template.

Other special forms as template could be generated from this.
Example: a Woodall number could be called by an own template as "{{Wo|895}}" which calls "{{Kbn|895|895}}" displayed as 895 × 2[sup]895[/sup]-1.

I've generated some templates to display lists of primes like on my old [url='https://www.rieselprime.de/Data/00001.htm']page[/url].

For k=1 the [url='https://www.rieselprime.de/ziki/Riesel_prime_1']page[/url] shows all n-values creating Mersenne primes 2^n-1 (Riesel => k*2^n-1 with k=1).
The n-values stored as a list (one value per line) in a template, comments will be generated as text-references so no colors needed.

The same could be done for Proth primes and others like Cullen/Woodall, General.Cullen/Woodall, Multifactorials, General.Fermats,...

I've added some more k-values to the Riesel primes and the generated [url='https://www.rieselprime.de/ziki/Riesel_k%3D1-300']table[/url].

To be done:
If a k-value is reserved, the entry is handled as a Wiki-user only; this should be differentiated into user or project with link, or only user-entry if no Wiki-user exists here.

The [url='https://www.rieselprime.de/ziki/Template:K-type']Template K-type[/url] is new:

- displaying the Riesel/Proth k-value type (15k, 2145k, 2805k, low Nash values, Riesel number/candidate)
- links to special Riesel/Proth type categories available

The [url='https://www.rieselprime.de/ziki/Template:Riesel_prime']template Riesel prime[/url] was changed:

- all categories for Riesel types are derived from values given (k-value or Nash)
- the displayed title of such page is generated (internally always "Riesel prime <k-value>")

The [url='https://www.rieselprime.de/ziki/Riesel_prime_table']Riesel prime table[/url] has been extendedo:
- show the type of a k-value

So the [url='https://www.rieselprime.de/ziki/Category:Riesel_prime']Category Riesel prime[/url] contains:
- all Riesel type subcategories
- all Riesel k-value pages
- the gerneral page for 'Riesel prime'
- the table with all values

All this can be presented on one page like a portal:
reservations and history collected on the k-value pages, zipped sieve files as link to files (wiki or external), tools and how-to-use, external information, different projects and their results,...

The terminology "Williams prime" is only defined/named after the paper by H.C.Williams with primes of the form (b-1)*b^n-1.

So other kinds of similiar formed numbers are not "Williams".

You created the Williams prime page on Mersennewiki on 2018-03-30 and extended it until 2018-07-01. A month later Mersennewiki was shut down.
On 2018-10-01 you created such page at Wikipedia and looking the [url='https://en.wikipedia.org/w/index.php?title=Williams_number&action=history']history[/url] 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 [url='https://en.wikipedia.org/wiki/Wikipedia:No_original_research']Wikipedia rules[/url], 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.
[/code]
"Reliable sources" are explained on that page, too.

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 "Near-square".

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 n-range 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.

Made some big advances in using and displaying [url='https://www.rieselprime.de/ziki/Category:Carol-Kynea_prime']Carol/Kynea primes[/url]:

- the lists for a power-of base are generated automatically on the base-page using data from to parents-base (for example base 8 is using the data from base 2)
- all lists are now visible and correct in the [url='https://www.rieselprime.de/ziki/Carol-Kynea_table']table page[/url]
- a new category for "power-of" 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 wiki-internal

Some small edits could be still done
- [STRIKE]categorizing with sorting can be automated, too[/STRIKE]
- [STRIKE]same for the sub-category emtries[/STRIKE]
Both done: sorting by base in all categories.

I think the next topic are the original Williams primes (b-1)*b^n-1 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 base-entries, so this page would grow
- the bigger the table the harder to edit it -> confusingly

Now:
- all data getting from the special base-page
- [B]-no-[/B] edits of the table needed

So creating a new base page with the template-data for a base and the table page will show the new data.