The class of Klamkin triples, 2003
Williams, Krystal Lakeysha
2000-2009
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.
text
application/pdf
2003-05-01
thesis
Master of Science (MS)
Clark Atlanta University
School of Arts and Sciences, Mathematical Sciences
Wilkins, J. Ernest Ponnley, James Semwogerere, F.
Georgia--Atlanta
http://hdl.handle.net/20.500.12322/cau.td:2003_williams_krystal_l