scientific article; zbMATH DE number 6847388

DOI10.4134/CKMS.c160178zbMath1382.11021MaRDI QIDQ4604944

Prapanpong Pongsriiam

Publication date: 6 March 2018

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Diophantine equationFibonacci numberLucas numberBrocard-Ramanujan equation

Mathematics Subject Classification ID

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

Related Items

Explicit formulas for the \(p\)-adic valuations of fibonomial coefficients. II ⋮ Exact divisibility by powers of the integers in the Lucas sequence of the first kind ⋮ Exact divisibility by powers of the integers in the Lucas sequences of the first and second kinds ⋮ Diophantine equations with balancing-like sequences associated to Brocard-Ramanujan-type problem ⋮ On the Diophantine equation $\sum _{j=1}^kjF_j^p=F_n^q$ ⋮ Sumsets associated with Wythoff sequences and Fibonacci numbers ⋮ Exact divisibility by powers of the Pell and associated Pell numbers ⋮ Explicit Formulas for the p-adic Valuations of Fibonomial Coefficients II

Cites Work

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• Variations on the Brocard-Ramanujan equation
• The prime divisors of Fibonacci numbers
• Existence of primitive divisors of Lucas and Lehmer numbers
• FACTORIZATION OF FIBONACCI NUMBERS INTO PRODUCTS OF LUCAS NUMBERS AND RELATED RESULTS
• On the Brocard–Ramanujan problem and generalizations