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 kar_bon 2019-07-31 23:17

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.

 sweety439 2019-08-03 14:54

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]

 sweety439 2019-08-10 22:24

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?)

 kar_bon 2019-08-16 09:50

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.

 sweety439 2019-08-17 01:22

[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.

 sweety439 2019-08-17 02:06

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].

 Dylan14 2019-08-18 18:58

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.

 kar_bon 2019-08-19 14:00

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.

The same has to be done for Cullen primes.

 sweety439 2019-08-22 08:16

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".

 Happy5214 2019-09-28 03:14

[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.

 Dylan14 2019-09-28 18:32

[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].

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