On the First Digits of the Fibonacci Numbers and Their Euler Function

Abstract

Here, we show that given any two finite strings of base b digits say s1 and s2, there are infinitely many Fibonacci numbers Fn such that the base b representation of Fn starts with s1 and the base b representation of (Fn) starts with s2.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2014
Accession Number
ADA616137

Entities

People

  • Florian Luca
  • Pantelimon Stanica

Organizations

  • Naval Postgraduate School

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Applied Mathematics
  • Distribution Theory
  • Inequalities
  • Information Operations
  • Mathematical Analysis
  • Mathematics
  • Numbers
  • Prime Numbers
  • Real Numbers
  • Sequences
  • Theorems

Fields of Study

  • Mathematics

Readers

  • Computer Programming and Software Development.
  • Graph Algorithms and Convex Optimization.