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Title:Prime and Quasi-Prime Number Races
Author(s):Sneed, Jason P.
Doctoral Committee Chair(s):Hildebrand, A.J.; Kevin Ford
Department / Program:Mathematics
Discipline:Mathematics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Mathematics
Abstract:We review the body of work done on prime number races, specifically the results involving infinitely many lead changes in prime number races. We describe a computational way of showing that any race has infinitely many lead changes and greatly expand the known results in this area. An extension of the traditional prime number race problem is discussed where we race "quasi-primes" or composite numbers that are the product of two odd primes modulo 4. We then consider what "percentage" of the time that the residue class 1 leads the residue class 3 in this "quasi-prime" race modulo 4.
Issue Date:2009
Type:Text
Language:English
Description:83 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2009.
URI:http://hdl.handle.net/2142/86936
Other Identifier(s):(MiAaPQ)AAI3411454
Date Available in IDEALS:2015-09-28
Date Deposited:2009


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