Diophantine equations with binary recurrences associated to the Brocard-Ramanujan problem

DOI10.4171/PM/1914zbMath1321.11042OpenAlexW2090838782MaRDI QIDQ692859

László Szalay

Publication date: 6 December 2012

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

Full work available at URL: https://doi.org/10.4171/pm/1914

zbMATH Keywords

Diophantine equationprimitive divisor theorembinary recurrences

Mathematics Subject Classification ID

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

Related Items (5)

Diophantine equations with products of consecutive members of binary recurrences ⋮ Diophantine equations with balancing-like sequences associated to Brocard-Ramanujan-type problem ⋮ Product of arbitrary Fibonacci numbers with distance 1 to Fibonomial coefficient ⋮ Balancing Diophantine triples with distance 1 ⋮ Unnamed Item

Cites Work

• Unnamed Item
• The Fibonacci version of the Brocard-Ramanujan Diophantine equation
• Existence of primitive divisors of Lucas and Lehmer numbers

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