ART

In number theory, a provable prime is an integer that has been calculated to be prime using a primality-proving algorithm. Boot-strapping techniques using Pocklington primality test are the most common ways to generate provable primes for cryptography[1][2]. Contrast with probable prime, which is likely (but not certain) to be prime, based on the output of a probabilistic primality test.

In principle, every prime number can be proved to be prime in polynomial time by using the AKS primality test. Other methods which guarantee that their result is prime, but which do not work for all primes, are useful for the random generation of provable primes.[3]
See also

Primality test
Probable prime

References

C. Couvreur and J. J. Quisquater (1982), An Introduction to Fast Generation of Large Prime Numbers, Philips Journal of Research, 37, pp. 231–264
Crandall, Richard; Pomerance, Carl (2005). Prime Numbers: A Computational Perspective. Springer. pp. 174–178. ISBN 978-0387-25282-7.
Mollin, Richard A. (2002), RSA and Public-Key Cryptography, Discrete Mathematics and Its Applications, CRC Press, pp. 124–125, ISBN 9781420035247.

Undergraduate Texts in Mathematics

Graduate Texts in Mathematics

Graduate Studies in Mathematics

Mathematics Encyclopedia

World

Index

Hellenica World - Scientific Library

Retrieved from "http://en.wikipedia.org/"
All text is available under the terms of the GNU Free Documentation License