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Difference between revisions of "Proth.exe"

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|latest=7.1<br>2004-05
 
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'''Proth.exe''' is an ancient program that implements Proth's theorem. It is used to test the primality of the following forms:
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'''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)
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*k<sup>n</sup>+1 ([[Generalized Fermat number]]s)
 
*k*b<sup>n</sup>±1 (by default b is 2 but it can be changed)
 
*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)
 
*n*b<sup>n</sup>±1 ([[Gen._Cullen_prime|Generalized Cullen]]/[[Gen._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.
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[[Category:Primality testing program]]

Revision as of 18:49, 23 June 2019

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.