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

Year 2017, Volume: 7, 59 - 62, 19.12.2017

Dursun Taşçı , Emre Sevgi

Abstract

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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