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.

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.

New:
[url='https://www.rieselprime.de/ziki/Williams_prime']Table[/url] for Williams primes (b±1)•b[sup]n[/sup]±1 with
- links to categories
- links to the list tables of the four types
- files for smallest n-value 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)

A table for all types of Williams primes with links to the category, the data tables and the files with smallest n-values are moved to the main page of [url='https://www.rieselprime.de/ziki/Williams_prime']"Williams prime"[/url] (not the category anymore), because a search will first lead to this page.

More pages to come, much to do further, statistic is growing.

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^n-1 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.

Thanks for the hint.

I've changed the definition on Proth/Riesel prime page and replaced the 'base' on the table pages.

Update for "Williams prime":
Instead of linking to tha file of the least n-value I created an own [url='https://www.rieselprime.de/ziki/Williams_prime_MM_least']page[/url] which shows wanted values and the data table.
This table is generated from a CSV file (had to be renamed and csv-ed first) and showing on that page using an extension.
[STRIKE]For the other three types this has to be done also,[/STRIKE] links to CRUS bases (not yet implemented) should come later.

More and more linkings to related pages will occur like Williams, Near Woodall and Riesel for example.

[COLOR="Green"]Done[/COLOR]: own pages for all 4 types of Williams primes with files created,

The values for Williams primes of the form (b-1)•b^n-1 are now for b <=64 (& 128) online and the [url='https://www.rieselprime.de/ziki/Williams_prime_MM_table']table[/url] shows them correctly even using data from other primes:
For bases power of 2 the data will be retrieved from their Riesel primes (n-values, 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 k-value is involved.

This reuse will minimize of doing double work here and on other prime sequences.

Found some errors in the wiki pages:

1. [URL="https://www.rieselprime.de/ziki/Williams_prime_MP_452"]Williams prime MP 452[/URL], the "Max n" is 71490, not 71940.

2. [URL="https://www.rieselprime.de/ziki/Williams_prime_MM_128"]Williams prime MM 128[/URL], the "Max n" is 1.95M (not 800000), and this sequence is reserved by Cruelty, see the post [URL="https://mersenneforum.org/showpost.php?p=509799&postcount=72"]https://mersenneforum.org/showpost.php?p=509799&postcount=72[/URL] by Cruelty.

3. [URL="https://www.rieselprime.de/ziki/Williams_prime_MP_363"]Williams prime MP 363[/URL], the "Max n" should be 142876, why 142870?

4. For the external links of the page [URL="https://www.rieselprime.de/ziki/Williams_prime"]Williams prime[/URL], the range of b of [URL="http://harvey563.tripod.com/wills.txt"]http://harvey563.tripod.com/wills.txt[/URL] is 3 ≤ b ≤ 2049, not 2 ≤ b ≤ 2048.

Also, there are errors in all four "Williams prime least" page, the range of bases b is 2 [B]≤[/B] b [B]≤[/B] 1024, not 2 ≥ b ≥ 1024.

Thanks, I've corrected some errors.

Williams 128: not yet, waiting for response.
Gen. repunit prime: not for now, perhaps later

For [URL="https://www.rieselprime.de/ziki/Williams_prime_MM_2"]Williams prime MM 2[/URL], 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 [URL="https://www.rieselprime.de/ziki/Williams_prime_MP_2"]Williams prime MP 2[/URL], the "Max n" is 8589934591 = 2^33-1, not 8,590,000,000, since it is not known whether F33 = 2^(2^33)+1 is prime or not.

I've changed the n-max for Proth prime k=1 so this value will be listed for Williams MP 2.

The n-max for Williams MM 2 = n-max 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.

The "Max n" of [URL="https://www.rieselprime.de/ziki/Williams_prime_PP_158"]Williams PP 158[/URL] is 25000, not 50000.

The n-values of the "Data" section of [URL="https://www.rieselprime.de/ziki/Williams_prime_MP_least"]Williams MP least[/URL] for b = 497, 536, 545, ... are still blank.

Currently, the "base" in [URL="https://www.rieselprime.de/ziki/Carol-Kynea_table"]Carol/Kynea table[/URL] is not sorted.

- Williams PP 158: corrected

- Williams least:
Any uploaded file is available directly as source, but the MediaWiki caching of pages do not display the new data on those pages instantly, this needs internally some time to update, the same for any local browser chache.

- Cynea/Karol sorting:
see thread for issues.

[QUOTE=sweety439;517968]The "Max n" of [URL="https://www.rieselprime.de/ziki/Williams_prime_PP_158"]Williams PP 158[/URL] is 25000, not 50000.[/QUOTE]

The "Max n" of [URL="https://www.rieselprime.de/ziki/Williams_prime_PM_158"]Williams PM 158[/URL] is also 25000, not 50000, please check the test limit of all four kinds of Williams primes base 158.

Well, did you test [URL="https://www.rieselprime.de/ziki/Williams_prime_MP_158"]Williams MP 158[/URL] to 50000 on 2018/01/25?

See [URL="https://www.rieselprime.de/ziki/Category:Reserved"]https://www.rieselprime.de/ziki/Category:Reserved[/URL], Borys Jaworski reserved Williams prime MM 128, but there is "[[]]" for Williams prime MM 128.

Also, Williams MM 128 is currently not in [URL="https://www.rieselprime.de/ziki/Borys_Jaworski"]https://www.rieselprime.de/ziki/Borys_Jaworski[/URL].

Besides, the Carol/Kynea bases in [URL="https://www.rieselprime.de/ziki/Category:Reserved"]https://www.rieselprime.de/ziki/Category:Reserved[/URL] are also not sorted ({2, 20, 22, 24, 26, 1968, 290, 362}, which is not sorted).

Reservation for Willimas MM 128 corrected.

The sorting of Carol/Kynea is driven from the page of those bases as mentioned so it's still not correct whereever the sorting is used.

There're still many coherencies of pages and templates, which are not 100% outlined.

Example:
Will. MM 128 should be a reuse of Riesel k=127, but such dependencies should normally not be reserved by others (same as Carol/Kynea base 4, or others).
But here a reservation is active and the field of "Reservevation" should not be used from the 'mother sequence' but set explicitly.
This is done here.
That's why there is a big "Do not reserve!" because a reproduction and verification of such results are not so easy.

Updated the page for original [url='https://www.rieselprime.de/ziki/Williams_prime']Williams primes[/url] (b-1)*b^n-1:

- included all data from S.Harvey (ranges and dates) and M.Fiorentini
- corrected some errors in S.Harveys page: missing primes, typos, 2 bases missed at all (I'm running them), for base >1019 Steven only gives values to n=100, not 512 as given on his page (I've recalculated all for n<=1000)
- uploaded new file for [url='https://www.rieselprime.de/ziki/Williams_prime_MM_least']smallest[/url] (could take some time until shown correctly in the data table)
- listed all bases <=2049 without any values found so far

[QUOTE=kar_bon;518514]Updated the page for original [url='https://www.rieselprime.de/ziki/Williams_prime']Williams primes[/url] (b-1)*b^n-1:

- included all data from S.Harvey (ranges and dates) and M.Fiorentini
- corrected some errors in S.Harveys page: missing primes, typos, 2 bases missed at all (I'm running them), for base >1019 Steven only gives values to n=100, not 512 as given on his page (I've recalculated all for n<=1000)
- uploaded new file for [url='https://www.rieselprime.de/ziki/Williams_prime_MM_least']smallest[/url] (could take some time until shown correctly in the data table)
- listed all bases <=2049 without any values found so far[/QUOTE]

The limit for "Steven Harvey: Search for Williams primes" in the page [URL="https://www.rieselprime.de/ziki/Williams_prime"]https://www.rieselprime.de/ziki/Williams_prime[/URL] should be "3 ≤ b ≤ 1024, 1 ≤ n ≤ 512 and 1025 ≤ b ≤ 2049, 1 ≤ n ≤ 100", not "3 ≤ b ≤ 1019, 1 ≤ n ≤ 512 and 1020 ≤ b ≤ 2049, 1 ≤ n ≤ 100".

[QUOTE=kar_bon;518514]Updated the page for original [url='https://www.rieselprime.de/ziki/Williams_prime']Williams primes[/url] (b-1)*b^n-1:

- included all data from S.Harvey (ranges and dates) and M.Fiorentini
- corrected some errors in S.Harveys page: missing primes, typos, 2 bases missed at all (I'm running them), for base >1019 Steven only gives values to n=100, not 512 as given on his page (I've recalculated all for n<=1000)
- uploaded new file for [url='https://www.rieselprime.de/ziki/Williams_prime_MM_least']smallest[/url] (could take some time until shown correctly in the data table)
- listed all bases <=2049 without any values found so far[/QUOTE]

This is for base > 1024 (not base > 1019), see [URL="http://harvey563.tripod.com/wills.txt"]http://harvey563.tripod.com/wills.txt[/URL]

At least, this page has the primes 1019*1020^348-1, 1019*1020^446-1 and 1019*1020^457-1, these three primes are for base 1020 and n > 100.

I've included a separate page for all remaining data for [url='https://www.rieselprime.de/ziki/Williams_prime']Williams primes[/url] (for now only MM-type).
Listed are all bases b < 2050 not yet available as own page and n-max=1000 or given range.

In the page [URL="https://www.rieselprime.de/ziki/Proth_prime_small_bases_least_n"]Proth prime small bases least n[/URL], the data is not correct: the forms 2*512^n+1, 4*32^n+1, 4*512^n+1, 4*1024^n+1, 10*1000^n+1 and 12*12^n+1 [I]may[/I] have primes, since it is not known whether there are Fermat primes > 2^(2^4)+1, etc. (all these numbers are [B]generalized Fermat numbers[/B]). (Note that such forms do not include 8*128^n+1, 8*128^n+1 have [I]no possible[/I] primes)

Also, recently a prime 7*1004^54848+1 was found, please add it.

[QUOTE=WGJC3107;519023]
Is it possible for me to make an account on there to edit pages or is that just admin’s job?[/QUOTE]

You’ll have to contact Karsten directly in PM or email, or you can post in the “let me in” thread with your desired name.

I've inserted/created a category for [url='https://www.rieselprime.de/ziki/Williams_prime']Williams[/url] (types MM and MP so far) sequences without any prime found yet and listed the countings in the table.
I've also added all wanted seqs. for Williams type [url='https://www.rieselprime.de/ziki/Williams_prime_MP_least']MP[/url] with searched ranges not yet found anywhere.

The other types (PM and PP) will follow later.

[QUOTE=kar_bon;519292]I've inserted/created a category for [url='https://www.rieselprime.de/ziki/Williams_prime']Williams[/url] (types MM and MP so far) sequences without any prime found yet and listed the countings in the table.
I've also added all wanted seqs. for Williams type [url='https://www.rieselprime.de/ziki/Williams_prime_MP_least']MP[/url] with searched ranges not yet found anywhere.

The other types (PM and PP) will follow later.[/QUOTE]

For Williams MP, there should be also notes:

* Base 512: Proth prime 511•2[SUP]n[/SUP]+1 (first n-value divisible by 9)
* Base 817: Conjectures 'R Us not started yet

Like the notes in Williams MM:

* Base 128: Riesel prime 127•2[SUP]n[/SUP]-1 (first n-value divisible by 7)
* Base 478: Conjectures 'R Us not started yet

The note for the data list in the page [URL="https://www.rieselprime.de/ziki/Proth_prime_small_bases_least_n"]Proth prime small bases least n[/URL] is not correct, some forms are also generalized Fermat numbers but with known primes (such as 2*8^n+1, 4*2^n+1, 6*6^n+1, etc.), and there are numbers instead of "-" in the list for these forms, however, for generalized Fermat numbers without known primes (such as 2*512^n+1, 4*32^n+1, 12*12^n+1, etc.), there are "-" in the list, these forms have no known primes, like all current 0's in the list (such as 2*365^n+1, 4*53^n+1, 5*308^n+1, etc.), all of these forms have no known primes. Do you think the generalized Fermat numbers (2*512^n+1, 4*32^n+1, 12*12^n+1, ...) should be listed in the "Wanted values" section? They also have the Nash Weight, and there are no known primes of the form 2*512^n+1, like there are also no known primes of the form 2*365^n+1.

(I know that CRUS excludes the generalized Fermat numbers like 2*512^n+1 from searching, but some problems requires the generalized Fermat numbers, e.g. the "minimal primes problem", finding all minimal primes in given base, for base 32, the form 4{0}1 (4000...0001) is generalized Fermat numbers 4*32^n+1, and for my problem [URL="https://mersenneforum.org/showthread.php?t=21839"]A Sierpinski/Riesel-like problem[/URL], I do not exclude generalized Fermat numbers like 4*32^n+1 from searching and consider the problem S32 is not proven and with k=4 remain.

[URL="https://www.rieselprime.de/ziki/Category:Reserved"]Category: Reserved[/URL] contains Williams MP reserved by CRUS (123, 342, 438, 487, 757, 997, 1005) but does not contain Williams PP reserved by CRUS (327 and 1017).

Currently [URL="https://www.rieselprime.de/ziki/Category:Reserved"]Category:Reserved[/URL] does not contain Williams MM 268, which is also reserved by CRUS.

[URL="https://www.rieselprime.de/ziki/Williams_prime_PM_25"]Williams PM 25[/URL] has a remark that this should be (re)used from base 5, but [URL="https://www.rieselprime.de/ziki/Williams_prime_MM_25"]Williams MM 25[/URL] and [URL="https://www.rieselprime.de/ziki/Williams_prime_MP_25"]Williams MP 25[/URL] do not have, is this true for all perfect power bases (4, 8, 9, 16, 25, 27, 32, 36, 49, 64, 81, 100, 121, 125, 128, 144, 169, 196, 216, 225, 243, 256, 289, 324, 343, 361, 400, 441, 484, 512, 529, 576, 625, 676, 729, 784, 841, 900, 961, 1000, 1024, ...) for all four kinds of Williams primes and for Carol/Kynea primes? (I know that this is not true for generalized Cullen/Woodall primes)

This remark is still only a reminder, so not used on other bases than powers of 2. Therefore I will not update all perfect power bases for now.

Checking the source of such pages using another base you will find the automatic generation of the n-values.
To avoid double work all sequences should be listed as their normalized form so instead of searching [url='https://www.rieselprime.de/ziki/Williams_prime_MM_4']3*4^n-1[/url] search [url='https://www.rieselprime.de/ziki/Riesel_prime_3']3*2^n-1[/url] and generate the first sequence from that.
So if a new 3*2^n-1-prime is found, only this sequence has to be edited, the other seq. will updated on the fly:
- less editing
- less type errors

For now I've used this only for Carol/Kynea or Williams like primes, the latter are using Riesel- or Proth-type lists (base 2 only).
If I will include other bases this could be extended to forms like Williams PM 25.

I've extended the Williams template to show a grey base if it uses a normalized power of 2 base sequence like as used for Carol/Kynea.

If a prime in the list is also other classes of primes, I think it should be in the notes, like the article [URL="https://www.rieselprime.de/ziki/Riesel_prime_3"]Riesel 3[/URL], the prime 3*2^6-1 is also Sophie Germain (since 3*2^7-1 is also prime), twin (since 3*2^6+1 is also prime), and Near-Woodall (since 3*2^6-1 = (5+1)*2^5-1), however, for the article [URL="https://www.rieselprime.de/ziki/Williams_prime_MP_5"]Williams MP 5[/URL], ALL such primes are also generalized Fermat (since all are also of the form x^2+1, since all such n's are even, and thus 4*5^n is a square), but current only 20462 and 70130 has this note.

Sophie Germain: prime k*2^n-1 such that k*2^(n+1)-1 is also prime
Sophie Germain of the second kind: prime k*2^n+1 such that k*2^(n+1)+1 is also prime
Cunningham chains with length r: k*2^n-1, k*2^(n+1)-1, ..., k*2^(n+r-1)-1 are all primes
Cunningham chains of the second kind with length r: k*2^n+1, k*2^(n+1)+1, ..., k*2^(n+r-1)+1 are all primes
Sophie Germain with order b: prime k*b^n-1 such that k*b^(n+1)-1 is also prime
Sophie Germain of the second kind with order b: prime k*b^n+1 such that k*b^(n+1)+1 is also prime
Cunningham chains with length r and order b: k*b^n-1, k*b^(n+1)-1, ..., k*b^(n+r-1)-1 are all primes
Cunningham chains of the second kind with length r and order b: k*b^n+1, k*b^(n+1)+1, ..., k*b^(n+r-1)+1 are all primes
Twin: k*b^n-1 and k*b^n+1 are both primes
Cullen base b: n*b^n+1
Woodall base b: n*b^n-1
Carol base b: (b^n-1)^2-2
Kynea base b: (b^n+1)^2-2
Williams MM base b: (b-1)*b^n-1
Williams MP base b: (b-1)*b^n+1
Williams PM base b: (b+1)*b^n-1
Williams PP base b: (b+1)*b^n+1
Near-Cullen/Woodall MM base b: (n-1)*b^n-1
Near-Cullen/Woodall MP base b: (n-1)*b^n+1
Near-Cullen/Woodall PM base b: (n+1)*b^n-1
Near-Cullen/Woodall PP base b: (n+1)*b^n+1
Fermat base b: b^(2^n)+1
Repunit base b: (b^n-1)/(b-1)
Wagstaff base b: (b^n+1)/(b+1)

[QUOTE=sweety439;519877]If a prime in the list is also other classes of primes, I think it should be in the notes, like the article [URL="https://www.rieselprime.de/ziki/Riesel_prime_3"]Riesel 3[/URL], ...[/QUOTE]

Sorry for not including hundreds of years of prime searching in a 6 months running Wiki and having a real life, too but only (here on earth) 24 hours a day to work on such pages.

[QUOTE=kar_bon;519881]Sorry for not including hundreds of years of prime searching in a 6 months running Wiki and having a real life, too but only (here on earth) 24 hours a day to work on such pages.[/QUOTE]

However, ALL [URL="https://www.rieselprime.de/ziki/Williams_prime_MP_5"]Williams MP 5[/URL] are also [URL="https://primes.utm.edu/top20/page.php?id=12"]Generalized Fermat primes[/URL], but only "20462" and "70130" has this note.

[QUOTE=sweety439;519888]However, ALL [URL="https://www.rieselprime.de/ziki/Williams_prime_MP_5"]Williams MP 5[/URL] are also [URL="https://primes.utm.edu/top20/page.php?id=12"]Generalized Fermat primes[/URL], but only "20462" and "70130" has this note.[/QUOTE]

Posting over and over again the same isn't of any help. I only used the comments from the Top5000 entries there. I also have to determine the best way how to put those many different prime type you mentioned in the comments of any n-value of any base and prime type.

In the page [URL="https://www.rieselprime.de/ziki/Williams_prime"]Williams prime[/URL], 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.

There are also OEIS sequences:

Smallest Williams MP: A305531
Smallest Cullen: A240234
Smallest Woodall: A240235

@kar_bon, you missed a sequence: Williams PP 171, it also has no primes with exponent n<=1024.

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

I've generated a template for showing [URL="https://www.rieselprime.de/ziki/Template:HistS"]the history of sieve files.
[/URL]
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.

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.

I've created an alternate table for [url='https://www.rieselprime.de/ziki/Carol-Kynea_table_alternate']Carol/Kynea[/url]:
- no sieve files listed
- no contributors listed
- n-values 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 [url='https://www.rieselprime.de/ziki/Carol-Kynea_table_short']here[/url].)

Links see [url='https://www.rieselprime.de/ziki/Carol-Kynea_prime']here[/url], this page has to be updated after the following is done:

- [STRIKE]some bases without Carol or Kynea to insert[/STRIKE] [COLOR="Green"]Done[/COLOR]. For all bases <= 3000 there are currently
-- [url='https://www.rieselprime.de/ziki/Category:Carol-Kynea_without_Carol']96 without[/url] a Carol prime
-- [url='https://www.rieselprime.de/ziki/Category:Carol-Kynea_without_Kynea']78 without[/url] a Kynea prime
- remaining data for bases<=3000 from my page/search
- two tables with least Carol or Kynea n-value

If more bases will be filled in it's better to change the template for categorizing any base into different parts (like 1-999, 1000-1999, 2000-2999,...).

Nice to have:
- some statistics
- some graphs

[B]History entries[/B] and reserving any base (see [url='https://www.rieselprime.de/ziki/Carol-Kynea_prime_2']base 2[/url] for example) are also available as well as inserting a [B]sieve file[/B] (see [url='https://www.rieselprime.de/ziki/Carol-Kynea_prime_50']base 50[/url]).
The same procedure can be done for other prime types.

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^y-y^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^n-1)^2-2 or (b^n+1)^2-2 are primes for a fixed b, why not (for Leyland primes) list all y such that x^y+y^x or |x^y-y^x| are (probable) primes for a fixed x?

[QUOTE=sweety439;522174]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)?[/QUOTE]

Those numbers are more individual than Carol/Kynea. Finder/prover and dates are more different.
On the other hand most of those numbers (not yet all of more than 1400) are with different x-/y-values 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 y-value you get this.

I've extended the first [url='https://www.rieselprime.de/ziki/Leyland_number']Leyland number page[/url] by Dylan (thanks) with still missing some information.
External links and current data available (~700 from ~1460 numbers so far).

@pxp
Could you please make the axis naming a little bit bigger, it's hard to see in that resolution.

Currently "Williams MP 4" has available OEIS sequence: [URL="https://oeis.org/A326655"]A326655[/URL]

Also, in the page [URL="https://www.rieselprime.de/ziki/Williams_prime"]Williams prime[/URL], 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

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

The table in [URL="https://www.rieselprime.de/ziki/Carol-Kynea_prime_24"]Carol/Kynea 24[/URL] is not sorted, 55716 should be in back of 46309.

Also, there is no possible Williams PP prime for b == 1 mod 3, but not shown in the OEIS sequence table in the [URL="https://www.rieselprime.de/ziki/Williams_prime"]Williams prime[/URL] page (it was shown before).

Besides, you have found [URL="https://oeis.org/A087139"]A087139[/URL](54) = 102978+1 = 102979 (see [URL="https://www.rieselprime.de/ziki/Williams_prime_MP_251"]Williams MP 251[/URL]), you can update it to this OEIS sequence (currently A087139 can be extended to n=91).

Finally, the link [URL="https://www.rieselprime.de/Others/CarolKynea.htm"]https://www.rieselprime.de/Others/CarolKynea.htm[/URL] is no longer available, but it is currently in the "external links" for the page [URL="https://www.rieselprime.de/ziki/Carol-Kynea_prime"]Carol/Kynea prime[/URL]. (by the way, do the pages "Carol least" and "Kynea least" come on?)

Just creating templates for linking/displaying different numbers in the comments of prime lists.

First: [url='https://www.rieselprime.de/ziki/Template:NWo']Template 'NWo'[/url] for (Near / General / Near General) Woodall numbers depending on given parameters.

Example at [url='https://www.rieselprime.de/ziki/Riesel_prime_257']Riesel prime k=257[/url] shows the easier entry instead using template "Kbn" here.

Those numbers will be collected on their own [url='https://www.rieselprime.de/ziki/Near_Gen._Woodall_prime_2']page[/url], more to come later.

The same will be done for Cullen (NCu), Riesel (NRi), Proth (NPr), Fermat (NFe) with their general/special forms.

So for Fermat there're forms:
original Fermat: 2^2^n+1
General Fermat: b^2^n+1
Ext.General Fermat: a^2^n + b^2^n including the forms with b=1 (like 4*5^n+1, n even)

To solve: the a-value of a xGF can contain very long numbers/expressions to store Fermat/GF/xGF factors into own pages (title length limited).

To come:
Template for Fermat numbers with their data (like Mersenne primes) with discoverers of factors, factors, Top5000 ID, FactoDB link, PrimeGrid ID, status, #digits including generated categorizing etc.

[QUOTE=kar_bon;523750]Just creating templates for linking/displaying different numbers in the comments of prime lists.

First: [url='https://www.rieselprime.de/ziki/Template:NWo']Template 'NWo'[/url] for (Near / General / Near General) Woodall numbers depending on given parameters.

Example at [url='https://www.rieselprime.de/ziki/Riesel_prime_257']Riesel prime k=257[/url] shows the easier entry instead using template "Kbn" here.

Those numbers will be collected on their own [url='https://www.rieselprime.de/ziki/Near_Gen._Woodall_prime_2']page[/url], more to come later.

The same will be done for Cullen (NCu), Riesel (NRi), Proth (NPr), Fermat (NFe) with their general/special forms.

So for Fermat there're forms:
original Fermat: 2^2^n+1
General Fermat: b^2^n+1
Ext.General Fermat: a^2^n + b^2^n including the forms with b=1 (like 4*5^n+1, n even)

To solve: the a-value of a xGF can contain very long numbers/expressions to store Fermat/GF/xGF factors into own pages (title length limited).

To come:
Template for Fermat numbers with their data (like Mersenne primes) with discoverers of factors, factors, Top5000 ID, FactoDB link, PrimeGrid ID, status, #digits including generated categorizing etc.[/QUOTE]

How about the Williams primes (b+-1)*b^n+-1?

Besides, what is the pages of near Cullen/Woodall primes (n+-1)*b^n+-1? like the Williams primes.

Also, you seems to forget to search "Carol/Kynea 702" to n=10K (see [URL="https://www.rieselprime.de/ziki/Category:Carol-Kynea_without_Carol"]https://www.rieselprime.de/ziki/Category:Carol-Kynea_without_Carol[/URL])

kar_bon: You can test values by your own, too.

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

I've created a [URL="https://www.rieselprime.de/ziki/Template:Riesel_prime_const"]template[/url] to display a list of k values that yield a Riesel prime for a fixed n value. This is to make cleaner the data that is displayed on the constant-n search page of the old rieselprime.de site.
The template takes the following data:
[CODE]
Rcn= the value of n
RcMaxk= max k tested
RcDate= date/last edit
RcReserved= optional, person who presently has reserved that n value
RcKlist= list of all k's that yield a prime
RcRemarks= any comments regarding that n
[/CODE]
and then generates a table much like the Riesel Prime template.

I've rearranged the [url='https://www.rieselprime.de/ziki/Category:Woodall_prime']Woodall primes[/url]:
created different categories to store (Near/Generalized/Near-Generalized) Woodall primes with one template for any page of those types like "Williams prime P/M <base>":

- Woodall primes n*2^n-1 -> "Gen. Woodall prime 2"
- Gen. Woodall primes n*b^n-1 -> "Gen. Woodall prime <base>"
- Near Gen. Woodall primes (n+1)*b^n-1 -> "Gen. Woodall prime P <base>"
- Near Gen. Woodall primes (n-1)*b^n-1 -> "Gen. Woodall prime M <base>"

Some changes to the "ground" pages/categories still needed.
Template "NWo" also adjusted.

The same has to be done for Cullen primes.

The title of [URL="https://www.rieselprime.de/ziki/Gen._Woodall_prime_P_2_table"]Gen. Woodall P 2 table[/URL] is not right, it is "Near Woodall primes of the form (n[B]±[/B]1)•2n-1", but it should be "Near Woodall primes of the form (n[B]+[/B]1)•2n-1".

[QUOTE=sweety439;526748]See post [URL]https://mersenneforum.org/showpost.php?p=526400&postcount=760[/URL], 4*789^149139+1 is prime, you can update it to [URL]https://www.rieselprime.de/ziki/Proth_prime_small_bases_least_n[/URL][/QUOTE]

Why don't you update this stuff yourself? Karsten can give you an account ([URL="https://www.mersenneforum.org/showthread.php?t=24141"]here[/URL]), and you can have at the wiki without posting everything here.

[QUOTE=sweety439;526748]See post [URL="https://mersenneforum.org/showpost.php?p=526400&postcount=760"]https://mersenneforum.org/showpost.php?p=526400&postcount=760[/URL], 4*789^149139+1 is prime, you can update it to [URL="https://www.rieselprime.de/ziki/Proth_prime_small_bases_least_n"]https://www.rieselprime.de/ziki/Proth_prime_small_bases_least_n[/URL][/QUOTE]

I’ve updated the page with that find, and the csv file.
To happy5214, there is a chance that karbon won’t give sweety an account on Prime Wiki. See [URL=https://www.mersenneforum.org/showpost.php?p=512327&postcount=11] this post by karbon himself for reasoning[/URL].

[QUOTE=Dylan14;526827]To happy5214, there is a chance that karbon won’t give sweety an account on Prime Wiki. See [URL="https://www.mersenneforum.org/showpost.php?p=512327&postcount=11"] this post by karbon himself for reasoning[/URL].[/QUOTE]

Yikes! Please forgive my naive optimism.

Also, do you searched all k*b^n+-1 forms in [URL="https://www.rieselprime.de/ziki/Riesel_prime_small_bases_least_n"]https://www.rieselprime.de/ziki/Riesel_prime_small_bases_least_n[/URL] and [URL="https://www.rieselprime.de/ziki/Proth_prime_small_bases_least_n"]https://www.rieselprime.de/ziki/Proth_prime_small_bases_least_n[/URL] to at least n=100K? Besides, I do not think the case when k*b^n+1 is generalized Fermat numbers without known prime (such as 2*512^n+1, 4*32^n+1, 10*1000^n+1, 12*12^n+1, etc.) should list "-", since they many have primes (but have no known primes like 2*383^n+1 and 4*53^n+1), unlike the other "-" in the table like 2*7^n+1 and 3*5^n+1, they have [I]no possible[/I] primes, the only one exception in this table is 8*128^n+1, it also have [I]no possible[/I] primes.

You can update the pages [URL="https://www.rieselprime.de/ziki/Riesel_prime_small_bases_least_n"]https://www.rieselprime.de/ziki/Riesel_prime_small_bases_least_n[/URL] and [URL="https://www.rieselprime.de/ziki/Proth_prime_small_bases_least_n"]https://www.rieselprime.de/ziki/Proth_prime_small_bases_least_n[/URL], see post [URL="https://mersenneforum.org/showpost.php?p=532521&postcount=104"]https://mersenneforum.org/showpost.php?p=532521&postcount=104[/URL].

[COLOR="Green"]Done[/COLOR]

Also, did you complete [URL="https://www.rieselprime.de/ziki/Williams_prime_PP_813"]Williams prime PP 813[/URL] to n=100K? This is the only Williams prime (for any type) with base b<=1024 which have no known prime and only tested to n<100K.

[COLOR="Green"]Done[/COLOR]

The test limit of [URL="https://www.rieselprime.de/ziki/Williams_prime_PP_9"]Williams prime PP 9[/URL] is 100000, not 200000, since it is [B][I]halved even values[/I][/B] of a sequence tested to 200000

[COLOR="Green"]Done[/COLOR]

[QUOTE=sweety439;535364]The test limit of [URL="https://www.rieselprime.de/ziki/Williams_prime_PP_9"]Williams prime PP 9[/URL] is 100000, not 200000, since it is [B][I]halved even values[/I][/B] of a sequence tested to 200000[/QUOTE]

I am testing this sequence starting from n=1M (acutally n=500k if b=9) (care to check the range in between?)

If you wish to test this sequence let me know I have already dug into it a bit without finding any primes.

Sure, I care about all ranges checked between any given. You could edit the Wiki with tested ranges and dates by yourself.

[U]Thank you for the redirect to this area!
[/U]
I created a template and filled in the current data I have. Not really knowing exactly where to put it, I went to my user name area and placed it there. The result is attached. I hope I did this properly.

It does not appear in the table. I suspect this is something for another person to do.

With all appreciation and respect, this site is a bear to navigate. A site-map might help. The links do not take me where I want to be, mostly. The Riesel Table, for example. If I had not bookmarked it, I do not think I would be able to find it.

I understand this is still in development and it looks really good. :smile:

I've moved your data to an own page as said.
Only the correct page name and the template used will categorize the data page in the designated area and then shown in the Riesel prime table.

This table can be found easily: Sidebar (menu on left side) under "Prime (direct)" click "Riesel prime" and you will find the link to the table.
Clicking on the category "Riesel prime" at the bottom of the page will lead you to all k-values.
Searching for "98745" will now list your data page.
I've also searched the Top5000 database for that type but none found there.

To create a new page (or find if exist) fill in the title like "Riesel prime 12345" in the searching field.
If the page isn't found, there's a red link, clicking on it will create an empty page with such name. Now you can use the template and fill in the data.

[QUOTE=kar_bon;537803]I've moved your data to an own page as said.
Only the correct page name and the template used will categorize the data page in the designated area and then shown in the Riesel prime table.

This table can be found easily: Sidebar (menu on left side) under "Prime (direct)" click "Riesel prime" and you will find the link to the table.
Clicking on the category "Riesel prime" at the bottom of the page will lead you to all k-values.
Searching for "98745" will now list your data page.
I've also searched the Top5000 database for that type but none found there.

To create a new page (or find if exist) fill in the title like "Riesel prime 12345" in the searching field.
If the page isn't found, there's a red link, clicking on it will create an empty page with such name. Now you can use the template and fill in the data.[/QUOTE]

[U]Thank you very much[/U]! I plan on running this [I]k[/I] for quite a while to come so I wanted a lock on it. I check the Top 5000 page several times a day to see what has changed. The link to the table was right there. I think I clicked all around it. I have never tried to add to, or modify, a Wiki page before. The process of creating this was somewhat more simple that I had expected.

I've tried to make it easy to use: most work is done by the templates automatically.

If you're done with that k-value, insert the history with template "HistC", delete your name from the parameter "RReserved" and this k-value isn't marked reserved in the prime table.

I've also created a [url='https://www.rieselprime.de/ziki/Norman_D._Powell,_Sr.']Person[/url] page, where you can find your current reservations created from the above parameter filled in.

I found an additional four primes overnight. I have placed the new ones in my template and updated the other info. This is not showing in the table yet. Is this an automated process?

The table of Riesel primes will not be updated instantly, but you can force this by clicking on the table page in the menu "More" the "Purge" command, perhaps 2 or 3 times.
I've corrected the k=98475 page:
- no need for "Last update" -> it's in the template parameters
- history: last on top
- checked for twins and added the comments

[QUOTE=kar_bon;537844]The table of Riesel primes will not be updated instantly, but you can force this by clicking on the table page in the menu "More" the "Purge" command, perhaps 2 or 3 times.
I've corrected the k=98475 page:
- no need for "Last update" -> it's in the template parameters
- history: last on top
- checked for twins and added the comments[/QUOTE]

No hurry as long as it gets done. Some of the inactives have the "Last Update" at the top. Understood about the history. Twins is something I did not think about. Hopefully, I can get to a point where you do not have to go behind me and correct things! :blush:

Testing for twins is easy.
- for possible twins the Riesel k-value has to be divisible by 3: 98475 check
- running LLR will create a result file with found primes with pairs like the original sieve file like
[code]
100000000:M:1:2:258
98475 1056
98475 1127
[/code]

- edit this file as follows (first line) (explanation see the Readme.txt -> Appendix from LLR)
-- change the "M" into "P"
-- change the "258" into "257"
- run this file with LLR again, use different result file then

The new result file contains (if exist) the twins.

I will change the Last update, where it's not needed.

A couple of quick questions, and two possibly other registered uses may have considered:

My current reservation is [I]k[/I] = 98475. Is it possible for another registered member to change my data while it is reserved? What if someone decided to attempt to delete items from an unreserved [I]k[/I]?

[QUOTE=storm5510;538006]A couple of quick questions, and two possibly other registered uses may have considered:

My current reservation is [I]k[/I] = 98475. Is it possible for another registered member to change my data while it is reserved? What if someone decided to attempt to delete items from an unreserved [I]k[/I]?[/QUOTE]

First question: Yes, it is possible. It would be considered poaching, if they find a prime above the region you are searching. Or vandalism if they change the values of n that yield primes.
Second question: One can easily go back to an earlier revision of the page, using the view history button and then use the undo links to roll back to that revision.
As to disciplining the person that would do such a thing, I'm not sure what would happen. kar_bon would know, though.

The Wiki needs a registered user who is logged in to make any changes of any page.
As said undoing changes is no problem because of the history.
If any user vandalize the Wiki he will be warned or blocked for a certain time or at all.
This is a Wiki for collecting results in serious prime hunting and related not for kids leaving their footprints in a social media as it's sadly common in these days.
And again: As admin I have to confirm [B]every[/B] edit by any user in the Wiki, so such things will be spotted and reacted as needed.
On the other hand: any reservation done in the Wiki is no warrenty for you that others could search the same thing and find primes. This happend also in this forum years ago where RPS k<300 were searched by others and 'stole' primes then. You'll never be free from such behavior.

[QUOTE=kar_bon;538041]...This happend also in this forum years ago where RPS k<300 were searched by others and 'stole' primes then. You'll never be free from such behavior.[/QUOTE]

I believe the "registered" users of [I]PrimeNet[/I] would have far more integrity and self-respect than anyone who would poach. At least, I hope so.

Would you prefer the dates in the history section be GMT? It is really not that difficult. My location, EDST + 4. I ask because most other things here use it. PrimeNet, GPUto72, and so on.