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

Authors : Dursun Taşçi, Emre Sevgi

Pages : 59-62

View : 13 | Download : 6

Publication Date : 2017-12-19

Article Type : Research

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