2026-09-22T10:39:07Z https://www.ideals.illinois.edu/oai-pmh

oai:www.ideals.illinois.edu:2142/86936 2023-07-11 col_2142_5131 col_2142_16340 com_2142_5130 com_2142_16339 com_2142_8903

Hildebrand, A.J. Kevin Ford Sneed, Jason P. 2015-09-28T15:20:14Z 2015-09-28T15:20:14Z 10000-01-01 2009 2009 "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." Made available in DSpace on 2015-09-28T15:20:14Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 3411454.pdf: 2695469 bytes, checksum: 906c8dae6d00364480898b82bce868e2 (MD5) Previous issue date: 2009 Embargo set by: Seth Robbins for item 88217 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs U of I Only 83 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2009. http://hdl.handle.net/2142/86936 (MiAaPQ)AAI3411454 eng Mathematics Prime and Quasi-Prime Number Races text Mathematics Mathematics University of Illinois at Urbana-Champaign Dissertation Ph.D.