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On the primality conjecture for certain elliptic divisibility sequences

This thesis is devoted to investigating some properties of the sequence (Wn) of the denominators. This is a divisibility sequence; that is, Wm | Wn whenever m | n. Our task here is to examine a conjecture on the number of prime terms in (Wn), well known as the Primality conjecture. We will prove that there is a uniform lower bound on n beyond such that all terms Wn have at least two distinct prime factors. In some cases, the bound is as low as n = 2.

Identiferoai:union.ndltd.org:bl.uk/oai:ethos.bl.uk:569301
Date January 2009
CreatorsPhuksuwan, Ouamporn
PublisherUniversity of East Anglia
Source SetsEthos UK
Detected LanguageEnglish
TypeElectronic Thesis or Dissertation
Sourcehttps://ueaeprints.uea.ac.uk/10608/

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