On Polynomial Time Primality Testing

Author: Sally Hall [ profile | email ]

Abstract

Prime numbers are an important part of modern cryptography. Most modern algorithms for encryption involve multiplying two large primes and their security depends on the difficulty of factoring the result. In creating large numbers that are a product of two primes it is important to ensure that the original numbers are, in fact, prime. Finding an efficient way to do this has long been a difficult problem in mathematics. There are many efficient probabilistic tests which can demonstrate that a number is most likely prime. Recently, however, a deterministic algorithm for primality testing was devloped that runs efficiently enough for practical use.

Table of Contents


Complete List of References

Back to Top