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Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
This is another version of Brocard-Ramanujan equation.
📌 3 Maddede Bu Makale
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Amaç & Hipotez: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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Temel Bulgular & Veri: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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Sonuç & Katkı:This is another version of Brocard-Ramanujan equation.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap
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