Dursun TAŞÇI, Emre SEVGİ

Pell and Pell-Lucas Numbers Associated with Brocard-Ramanujan Equation

ISSN: 2148-1830
Yayın Aralığı: 2
Başlangıç: 2013
Yayıncı: MATEMATİKÇİLER DERNEĞİ

In this paper, the diophantine equations of the form $A_{n_{1}}A_{n_{2}}\cdots A_{n_{k}}\pm 1=B_{m}^{2}$ where $(A_{n})_{n\geq 0}$ and $(B_{m})_{m\geq 0}$ are either the Pell sequence or Pell-Lucas sequence are solved by applying the Primitive Divisor Theorem. This is another version of Brocard-Ramanujan equation.

Keywords:

Pell number, Pell-Lucas number Brocard-Ramanujan equation, Diophantine equation,

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