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Lehmer's Theorem
| Title: | Lehmer's Theorem |
| Authors: | Simon Wimmer and Lars Noschinski |
| Submission date: | 2013-07-22 |
| Abstract: | In 1927, Lehmer presented criterions for primality, based on the converse of Fermat's litte theorem. This work formalizes the second criterion from Lehmer's paper, a necessary and sufficient condition for primality.
As a side product we formalize some properties of Euler's phi-function, the notion of the order of an element of a group, and the cyclicity of the multiplicative group of a finite field. |
| BibTeX: |
@article{Lehmer-AFP,
author = {Simon Wimmer and Lars Noschinski},
title = {Lehmer's Theorem},
journal = {Archive of Formal Proofs},
month = jul,
year = 2013,
note = {\url{http://isa-afp.org/entries/Lehmer.html},
Formal proof development},
ISSN = {2150-914x},
}
|
| License: | BSD License |
| Used by: | Pratt_Certificate |
| Status: [ok] | This is a development version of this entry. It might change over time and is not stable. Please refer to release versions for citations. |
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