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Applications of prime numbersSchuler, Paul Lavelle 27 November 2012 (has links)
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
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Primes of the form x² + Dy²Lam, Cho-ho, 林楚皓 January 2014 (has links)
published_or_final_version / Mathematics / Master / Master of Philosophy
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Incompleteness of the Giulietti-Ughi arc for large primesGhosh, Rohit, 1978- 28 August 2008 (has links)
In this dissertation we show that the Giulietti-Ughi arc is not complete for large primes. This arc is complete for primes which are congruent to three modulo four and less than thirty one. The cardinality of this arc has the same order as the Lunelli-Sce bound. We use two powerful theorems, one on the classifications of Galois groups of quintic polynomials and the other, the Čebotarev density theorem for function fields to show that there exist points on a certain curve which are not covered by the arc. We then outline a technique which could be used to extend the arc to a complete arc.
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RESIDUACITY PROPERTIES OF REAL QUADRATIC UNITSBrandler, Jacob Alfred, 1944- January 1971 (has links)
No description available.
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Approximations for some functions of primesEsteki, Fataneh January 2012 (has links)
[Please see thesis for abstract.] / vi, 114 leaves ; 29 cm
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Incompleteness of the Giulietti-Ughi arc for large primesGhosh, Rohit, January 1900 (has links)
Thesis (Ph. D.)--University of Texas at Austin, 2007. / Vita. Includes bibliographical references.
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The British Prime Minister since 1894Carter, Byrum. January 1951 (has links)
Thesis (Ph. D.)--University of Wisconsin--Madison, 1951. / Typescript. Vita. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references (leaves 582-591).
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On equivalent formulations of certain abstract prime number theoremsLaborde Montaner, Pedro. Shapiro, Harold N. January 1951 (has links)
P. Laborde Montaner's Thesis--New York University, 1951. / Includes bibliographical references (p. 43).
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Evaluation of a lower bound for Vinogradov's three prime theorem with an improved error termHlavka, James Lloyd. January 1977 (has links)
Thesis--Wisconsin. / Vita. Includes bibliographical references (leaves 100-104).
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On numbers which contain no factors of the form p(kp+1)Stager, Henry Walter, January 1912 (has links)
Thesis (Ph.D.)--University of California, 1909. / Vita.
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