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/CarolKynea_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/CarolKynea_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 avalue 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 avalue 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:CarolKynea_without_Carol"]https://www.rieselprime.de/ziki/Category:CarolKynea_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 constantn 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/NearGeneralized) Woodall primes with one template for any page of those types like "Williams prime P/M <base>":  Woodall primes n*2^n1 > "Gen. Woodall prime 2"  Gen. Woodall primes n*b^n1 > "Gen. Woodall prime <base>"  Near Gen. Woodall primes (n+1)*b^n1 > "Gen. Woodall prime P <base>"  Near Gen. Woodall primes (n1)*b^n1 > "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)•2n1", but it should be "Near Woodall primes of the form (n[B]+[/B]1)•2n1".

[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]. 
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