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

Authors : Dursun TAŞÇI, Emre SEVGİ

Pages : 59-62

View : 19 | Download : 8

Publication Date : 2017-12-19

Article Type : Research Paper

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 $insert ignore into journalissuearticles values(A_{n});_{n\geq 0}$ and $insert ignore into journalissuearticles values(B_{m});_{m\geq 0}$ 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