Currently there may be errors shown on top of a page, because of a missing Wiki update (PHP version and extension DPL3).
Navigation
Topics Help • Register • News • History • How to • Sequences statistics • Template prototypes

Difference between revisions of "Proth.exe"

From Prime-Wiki
Jump to: navigation, search
(new)
 
m
 
(3 intermediate revisions by 2 users not shown)
Line 5: Line 5:
 
|latest=7.1<br>2004-05
 
|latest=7.1<br>2004-05
 
}}
 
}}
'''Proth.exe''' is an ancient program that implements Proth's theorem. It is used to test the primality of the following forms:
+
 
*k<sup>n</sup>+1 ([[Generalized_Fermat_number|Generalized Fermat]] numbers)
+
'''Proth.exe''' is an ancient program that implements [[Proth's theorem]]. It is used to test the primality of the following forms:
*k*b<sup>n</sup>±1 (by default b is 2 but it can be changed)
+
 
*n*b<sup>n</sup>±1 ([[Gen._Cullen_prime|Generalized Cullen]]/[[Gen._Woodall_prime|Generalized Woodall]] numbers)
+
* {{Kbn|+|1|k|n}} ([[Generalized Fermat number]]s)
 +
* {{Kbn|±|k|b|n}} (by default {{Vb}} is 2 but it can be changed)
 +
* {{Kbn|±|n|b|n}} ([[Cullen prime|Generalized Cullen]]/[[Woodall prime|Generalized Woodall]] numbers)
  
 
Due to the age of the program, it is not optimized for use with modern processors and thus should not be used. Instead newer programs such as [[LLR]] and [[PFGW]] should be used.
 
Due to the age of the program, it is not optimized for use with modern processors and thus should not be used. Instead newer programs such as [[LLR]] and [[PFGW]] should be used.
 +
 +
[[Category:Primality testing program]]

Latest revision as of 16:44, 31 August 2021

Proth
Workload type primality prover
First release ?
Latest version 7.1
2004-05

Proth.exe is an ancient program that implements Proth's theorem. It is used to test the primality of the following forms:

Due to the age of the program, it is not optimized for use with modern processors and thus should not be used. Instead newer programs such as LLR and PFGW should be used.