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Applications of prime numbers

This report explores the historical development of three areas of study regarding prime numbers. The attempt to find an efficient and useful function to generate primes could be a helpful tool in the improvement of encryption. The difficulty of factoring large numbers allows the Rivest, Shamir and Adleman algorithm to be effective for public key cryptography. The distribution of primes is examined through discussion of the prime number theorem and the Riemann hypothesis. A brief case for integrating elementary number theory in secondary curriculum is also included. / text

Identiferoai:union.ndltd.org:UTEXAS/oai:repositories.lib.utexas.edu:2152/ETD-UT-2012-08-5929
Date27 November 2012
CreatorsSchuler, Paul Lavelle
Source SetsUniversity of Texas
LanguageEnglish
Detected LanguageEnglish
Typethesis
Formatapplication/pdf

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