On Fibonacci Numbers Which Are Elliptic Korselt Numbers

Abstract

Here, we show that if E is a CM elliptic curve with CM eld Q(square root -d), then the set of n for which the nth Fibonacci number Fn satisfies an elliptic Korselt criterion for Q(square root -d) (defined in the paper) is of asymptotic density zero.

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Document Details

Document Type
Technical Report
Publication Date
Nov 17, 2014
Accession Number
ADA626966

Entities

People

  • Florian Luca
  • Pantelimon Stanica

Organizations

  • Naval Postgraduate School

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Applied Mathematics
  • Arithmetic
  • Composite Materials
  • Identities
  • Inequalities
  • Information Operations
  • Mathematics
  • Numbers
  • Prime Numbers
  • Real Numbers
  • Schools
  • Sequences
  • South Africa
  • Universities

Fields of Study

  • Mathematics

Readers

  • Graph Algorithms and Convex Optimization.