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Products of Fibonacci numbers with indices in an interval and at most four omitted being a power

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Publication:633038
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DOI10.1016/S0019-3577(09)80025-6zbMath1219.11031MaRDI QIDQ633038

Florian Luca, Tarlok N. Shorey

Publication date: 31 March 2011

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)


zbMATH Keywords

Fibonacci numbers


Mathematics Subject Classification ID

Fibonacci and Lucas numbers and polynomials and generalizations (11B39)




Cites Work

  • Unnamed Item
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  • Products of members of Lucas sequences with indices in an interval being a power
  • On Fibonacci numbers of the form \(q^ky^k\).
  • Classical and modular approaches to exponential Diophantine equations. I: Fibonacci and Lucas perfect powers
  • Diophantine equations with products of consecutive terms in Lucas sequences
  • Approximate formulas for some functions of prime numbers
  • The greatest prime divisor of a product of consecutive integers
  • A search for Fibonacci-Wieferich and Wolstenholme primes


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