Edouard Lucas and Primality Testing
Wiley-Interscience and Canadian Mathematics Series of Monographs and Texts (Series Nr. 22)
1. Edition April 1998
552 Pages, Hardcover
Wiley & Sons Ltd
ISBN:
978-0-471-14852-4
John Wiley & Sons
Describes the development and extension of fundamental idea of Edouard Lucas, a French mathematician and mathematical recreationist, that is still used today in the verification of the largest primes.
Preliminaries.
The Beginnings.
Lucas' Early Work.
The Lucas Functions.
Lucas' Tests.
Later Developments.
Early Devices.
Kraitchik and Lehmer.
Finite Fields.
Lucas's Functions Generalized.
Special Tests for Primality.
The Influence of the Computer.
Results from the Computer.
Primality Proofs.
Probabilistic Primality Tests.
Recent Sieve Devices.
Primality Proving Today.
Bibliography.
Index.
The Beginnings.
Lucas' Early Work.
The Lucas Functions.
Lucas' Tests.
Later Developments.
Early Devices.
Kraitchik and Lehmer.
Finite Fields.
Lucas's Functions Generalized.
Special Tests for Primality.
The Influence of the Computer.
Results from the Computer.
Primality Proofs.
Probabilistic Primality Tests.
Recent Sieve Devices.
Primality Proving Today.
Bibliography.
Index.
Hugh Cowie Williams is a Canadian mathematician. He deals with number theory and cryptography.