The class of Klamkin triples, 2003

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Since 23 July 2019

Title: The class of Klamkin triples, 2003
Author: Williams, Krystal Lakeysha
Decade: 2000-2009
Abstract: We study the cardinal number of the class of triples of consecutive positive integers such that the first of them is the product of a prime numbers, the second the product of b prime numbers, and the third the product of c prime numbers. This set of triples is denoted as Pabc and any such triple is called a CKlamkin triple. We find that the sets Pa11, P11c, P121, P212, P213, and P312 are finite, and list all the triples in each of these sets. Every other set Pabc, is infinite. This last result depends on a special case of an unproved, but very plausible, conjecture of Bateman and Horn.
Document Type: text
Format: application/pdf
Date of Award: 2003-05-01
Degree Type: thesis
Degree Name: Master of Science (MS)
Granting Institution: Clark Atlanta University
Department: School of Arts and Sciences, Mathematical Sciences
Advisor: Wilkins, J. Ernest
Ponnley, James
Semwogerere, F.
Institution: Clark Atlanta University
Geographic Location: Georgia--Atlanta
Handle: http://hdl.handle.net/20.500.12322/cau.td:2003_williams_krystal_l