Williams primes
 

The first attempts for Williams primes (and similiar types) are done.

The [URL="https://www.rieselprime.de/ziki/Category:Williams_prime"]Category[/URL] 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 (b-1)*b^n-1 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^n-1 can be found [URL="https://www.rieselprime.de/ziki/Williams_prime_MM_5"]here[/URL] containing the history, external links and the Top5000 IDs in the list.

[STRIKE]The next thing to do is to create a template to use existing data.[/STRIKE]
The basic primes should be Riesel (k*2^n-1) and Proth (k*2^n+1) types, so creating a page for the type "Williams prime PM 2" which is "(2+1)*2^n-1" 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^n-1 with different exponents from 3*2^n-1.
[COLOR="Red"]Done![/COLOR]

Special categories for bases without any primes found yet [STRIKE]and a table to display all data[/STRIKE] like the Carol/Kynea primes have to be done, too.

Update:
- bases 2 to 32 are available.
- [url='https://www.rieselprime.de/ziki/Category:Williams_prime_MM']table[/url] created

ToDo:
- reusing from other types (not Riesel/Proth): example: 8*9^n-1 should use 8*3^n-1

The [url='https://www.rieselprime.de/ziki/Template:Proth_prime']template[/url] to support Proth primes (k*2[sup]n[/sup]+1) is created.[STRIKE], next to do fill some pages with data and the table as for Riesel.[/STRIKE]

- Category for [url='https://www.rieselprime.de/ziki/Category:Proth_prime']Proth primes[/url] with special subcategories like for Riesel primes
- Overview as [url='https://www.rieselprime.de/ziki/Proth_prime_table']table[/url]

More to come:
- generalized Woodall/Cullen primes

New templates to simplify edits in a history of primes (example see [url='https://www.rieselprime.de/ziki/Williams_prime_MM_5']here[/url]):
- three parameters each: date, n-value/range, contributor(list)
- ensure same layout over all pages

ToDo:
- supporting links to thread/post in this forum

Every contributor is collcted in the category "Person" with some data, if available.
Contributors should be saved with real names only, if not available/known put name in brackets.
A template for "Person" is needed later, where for example sorting will be automated.

Added a template to create a link to some fora by giving a thread/post ID.

Example: The Williams sequence [url='https://www.rieselprime.de/ziki/Williams_prime_MM_5']4*5^n-1[/url].

Supported fora:
- MersenneForum.org: default, only post ID needed

others need a coding character and thread/post ID to differentiate:
- Free-DC forum: "F#<thread ID>#<post ID>"
- PrimeGrid forum: "P#<thread ID>#<post ID>"
- NFS@Home forum: "N#<thread ID>#<post ID>"

Examples are given in the [url='https://www.rieselprime.de/ziki/Template:HistLink']template[/url].

So every post of MersenneForum with historic data can be presented in the history section of any prime sequence in the Prime-Wiki.

Perhaps other templates other than "Checked to..." or "Found n=..." are and other fora or sites are possible.

I've included the ability to store [url='https://www.rieselprime.de/ziki/Gen_Woodall_prime'](Generalized) Woodall primes[/url] n*b[sup]n[/sup]-1 (b>=2, n>=1 in the Wiki).

- the [url='https://www.rieselprime.de/ziki/Gen_Woodall_prime_2']Woodall primes[/url] in original with history and Top5000 links or links to internal Riesel primes
- the [url='https://www.rieselprime.de/ziki/Gen_Woodall_prime_table']table[/url] for a quick overview generated automatically as usual
- bases without any prime so far will be catagorized in a special category (for b=179 there's only n=2 up to n=250k)

Some primes are quite hard to realize as a Gen.Woodall, see b=4.

Same for [url='https://www.rieselprime.de/ziki/Gen_Cullen_prime'](Generalized) Cullen primes[/url] n*b[sup]n[/sup]+1 (b>=2, n>=1 in the Wiki).

- the [url='https://www.rieselprime.de/ziki/Gen_Cullen_prime_2']Cullen primes[/url] in original with history and Top5000 links
- the [url='https://www.rieselprime.de/ziki/Gen_Cullen_prime_table']table[/url] for a quick overview generated automatically as usual
- bases without any prime so far will be catagorized in a special category

[QUOTE=kar_bon;514784]I've included the ability to store [url='https://www.rieselprime.de/ziki/Gen_Woodall_prime'](Generalized) Woodall primes[/url] n*b[sup]n[/sup]-1 (b>=2, n>=1 in the Wiki).

- the [url='https://www.rieselprime.de/ziki/Gen_Woodall_prime_2']Woodall primes[/url] in original with history and Top5000 links or links to internal Riesel primes
- the [url='https://www.rieselprime.de/ziki/Gen_Woodall_prime_table']table[/url] for a quick overview generated automatically as usual
- bases without any prime so far will be catagorized in a special category (for b=179 there's only n=2 up to n=250k)

Some primes are quite hard to realize as a Gen.Woodall, see b=4.[/QUOTE]

[QUOTE=kar_bon;514995]Same for [url='https://www.rieselprime.de/ziki/Gen_Cullen_prime'](Generalized) Cullen primes[/url] n*b[sup]n[/sup]+1 (b>=2, n>=1 in the Wiki).

- the [url='https://www.rieselprime.de/ziki/Gen_Cullen_prime_2']Cullen primes[/url] in original with history and Top5000 links
- the [url='https://www.rieselprime.de/ziki/Gen_Cullen_prime_table']table[/url] for a quick overview generated automatically as usual
- bases without any prime so far will be catagorized in a special category[/QUOTE]

Maybe the pages should link to the tables?

[COLOR="Red"]Done.[/COLOR]

New template [url='https://www.rieselprime.de/ziki/Template:Infobox_Person']Infobox Person[/url]: displaying some data in a separate box on the right side of a person page.
- some personal data
- web data like users from other projects/fora
- sorting and categorizing automated (generated from page name)
- if no real name available use nickname (page name in brackets)
- special sort key if needed (like names with special characters)

Some examples:
- [url='https://www.rieselprime.de/ziki/Karsten_Bonath']me[/url]
- [url='https://www.rieselprime.de/ziki/Pierre_de_Fermat']Fermat[/url]
- [url='https://www.rieselprime.de/ziki/George_Woltman']Chief of GIMPS[/url]

Further links could be added, like:
- GIMPS account
- email

Advantages:
- creating further tables/queries
- history of prime pages with given contributors -> reservations available on person page (generated, see mine)
- no need to be a user of the wiki, but available, too

Suggestions?

[QUOTE=kar_bon;515623]Some examples:
- [url='https://www.rieselprime.de/ziki/Karsten_Bonath']me[/url]
- [url='https://www.rieselprime.de/ziki/Pierre_de_Fermat']Fermat[/url]
- [url='https://www.rieselprime.de/ziki/George_Woltman']Chief of GIMPS[/url]

Further links could be added, like:
- GIMPS account
- email

Suggestions?[/QUOTE]
I don't like the email address for those that are not open to it.
You should look at George's current wikipedia entry. I recently added a few things. I found something on the interwebs and then explored wikipedia some to confirm things. Then I edited his page and a few others that relate to him.

Sure, there will no data shown in the Wiki, that are not available on any other page in the net.

I thought if anyone should join the Wiki and want to give his email on such person page, the ability to do so should be there, too. So only inserting a parameter like "Email" to fill in if needed.

Another topic is to 'cipher" the email to avoid bots easily extract them from such pages.

As registered Wiki user there's an email entry in the personal preferences which can be used to send emails to other Wiki users. This email is also not available to others.

I've created a page for the [url='https://www.rieselprime.de/ziki/Twin_Prime_Search']Twin Prime Search[/url] from data [url='https://www.mersenneforum.org/forumdisplay.php?f=65']here[/url].

- list of primes (ASCII file)
- list of checks for twins (ASCII file)
- image
can be updated by uploading like normal images.
If ASCII files are too big, ZIPs can also be used or even PDFs.