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

The nvalues 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/CarolKynea_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] (b1)*b^n1:
 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] (b1)*b^n1:
 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] (b1)*b^n1:
 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*1020^3481, 1019*1020^4461 and 1019*1020^4571, these three primes are for base 1020 and n > 100. 
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