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The qu (2018) Conjectures, the Yang & fu (2018) Conjectures, the Jiang (2020) Conjecture, the Tao (2016) Conjectures, the Cipu (2007) Conjecture, the Cipu & Mignotte (2007) Conjecture and the Simultaneous Pell Equations X2−(a2−1)y2=1 and Y2−pz2=1.

Michael C. I. Nwogugu

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Abstract

This article shows that the Qu (2018) conjectures, the Yang & Fu (2018) conjectures, the Jiang (2020) Conjecture-#1, the Tao (2016) Conjecture-#1, the Cipu & Mignotte (2007) Conjecture and the Cipu (2007) Conjecture [all of which pertain to the system of Simultaneous Pell equations x2−(a2−1)y2=1 and y2−pz2=1] are wrong.

About this research paper

What this paper is about

This article shows that the Qu (2018) conjectures, the Yang & Fu (2018) conjectures, the Jiang (2020) Conjecture-#1, the Tao (2016) Conjecture-#1, the Cipu & Mignotte (2007) Conjecture and the Cipu (2007) Conjecture [all of which pertain to the system of Simultaneous Pell equations x2−(a2−1)y2=1 and y2−pz2=1] are wrong.

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Available abstract

This article shows that the Qu (2018) conjectures, the Yang & Fu (2018) conjectures, the Jiang (2020) Conjecture-#1, the Tao (2016) Conjecture-#1, the Cipu & Mignotte (2007) Conjecture and the Cipu (2007) Conjecture [all of which pertain to the system of Simultaneous Pell equations x2−(a2−1)y2=1 and y2−pz2=1] are wrong.

Key concepts: Conjecture, Collatz conjecture, Elliott–Halberstam conjecture, Mathematics, abc conjecture, Beal's conjecture, Lonely runner conjecture, Combinatorics

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The qu (2018) Conjectures, the Yang & fu (2018) Conjectures, the Jiang (2020) Conjecture, the Tao (2016) Conjectures, the Cipu (2007) Conjecture, the Cipu & Mignotte (2007) Conjecture and the Simultaneous Pell Equations X2−(a2−1)y2=1 and Y2−pz2=1. — Research Paper | ScholarLens