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The Fibonacci version of the Brocard-Ramanujan Diophantine equation

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Publication:555198
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DOI10.4171/PM/1887zbMath1272.11051MaRDI QIDQ555198

Diego Marques

Publication date: 22 July 2011

Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)


zbMATH Keywords

Fibonacci numbersDiophantine equationBrocard-Ramanujan


Mathematics Subject Classification ID

Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Diophantine equations (11D99)


Related Items (4)

Variations on the Brocard-Ramanujan equation ⋮ Product of arbitrary Fibonacci numbers with distance 1 to Fibonomial coefficient ⋮ Diophantine equations with binary recurrences associated to the Brocard-Ramanujan problem ⋮ Unnamed Item



Cites Work

  • Fibonacci numbers at most one away from a perfect power
  • On the Brocard-Ramanujan Diophantine equation \(n! + 1 = m^2\)
  • Variants of the Diophantine equation \(n! + 1 = y^2\)
  • Existence of primitive divisors of Lucas and Lehmer numbers
  • Diophantine equations with products of consecutive terms in Lucas sequences II
  • My Numbers, My Friends
  • Unnamed Item
  • Unnamed Item


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