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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
This is another version of Brocard-Ramanujan equation.
📌 3 Key Takeaways
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Objective & Hypothesis: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.
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Key Findings & Data: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.
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Conclusion & Impact:This is another version of Brocard-Ramanujan equation.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Pell number · Pell-Lucas number · Brocard-Ramanujan equation
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.
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Cite This Article
TAŞÇI, D., SEVGİ, E. (2017). Pell and Pell-Lucas Numbers Associated with Brocard-Ramanujan Equation. Turkish Journal of Mathematics and Computer Science, Cilt: 7, 59–62. https://ajindex.com/articles/705434