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Journal of Cryptology
Article . 1988 . Peer-reviewed
License: Springer TDM
Data sources: Crossref
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zbMATH Open
Article . 1988
Data sources: zbMATH Open
DBLP
Article . 1988
Data sources: DBLP
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The generation of random numbers that are probably prime

Authors: Pierre Beauchemin; Gilles Brassard; Claude Crépeau; Claude Goutier; Carl Pomerance;

The generation of random numbers that are probably prime

Abstract

This paper discusses Rabin's probabilistic primality test. It states, rather provocatively, that Rabin's test can only fail with a nonnegligible probability if the test number is easy to split into two nontrivial factors. Furthermore, it discusses how Rabin's test can be used to generate random probable prime numbers (rather than test a specific integer for primality).

Keywords

Primality, generation of random primes, Fermat's test, Cryptography, Random number generation in numerical analysis, false witnesses, Rabin's probabilistic primality test, random probable prime numbers

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    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    24
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
24
Average
Top 10%
Average
bronze