20230211, 08:36  #133 
Mar 2006
Germany
3053_{10} Posts 
4*5^n+1
I've just changed the type of that reservation:
The template for Williams primes were implemented before the capability of storing Proth primes in any base. So I've cretead the (more general) Proth prime for this Williams prime, which obtains the data from that new page. Each page links to the other for easy navigation. This should be done with all somtimes in the future. 
20230211, 18:48  #134 
Jun 2003
3126_{8} Posts 
Proth primes are limited to base 2 by definition.
https://en.wikipedia.org/wiki/Proth_prime 
20230211, 19:28  #135  
"Alexander"
Nov 2008
The Alamo City
1111010100_{2} Posts 
Quote:


20230212, 12:19  #136 
Mar 2006
Germany
101111101101_{2} Posts 
As stated in the definition of Proth primes in PrimeWiki I also allow all primes listed with k<2^n.
The other reason for naming that way is to handle the template and categorization easier to store any number of the form k*b^n+1, the same for Riesel side. 
20230214, 06:58  #137 
Mar 2006
Germany
BED_{16} Posts 
Because Ryan Propper is again poaching (submitted 3 new primes found to Top5000) a reserved range, Citrix has canceld his for 4*5^n+1.
@Propper: Stop stealing others work, the community will recognize this and is not amused! 
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