2020FigshareOpen access

Exploring the Goldbach Strong and Weak Conjectures from a Twin Prime perspective

Iain Preston

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Abstract

In mathematics, a proof for the Goldbach strong conjecture in the context of even numbers remains outstanding, but a proof has been given for the Goldbach weak conjecture in the context of odd numbers. This paper sets out results from an exploration of both conjectures purely from a twin prime perspective. Based on the findings of those explorations, two additional conjectures are being put forward which, if they hold, will form another angle from which a proof may eventually be found for the still unresolved Twin Prime conjecture.

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What this paper is about

In mathematics, a proof for the Goldbach strong conjecture in the context of even numbers remains outstanding, but a proof has been given for the Goldbach weak conjecture in the context of odd numbers. This paper sets out results from an exploration of both conjectures purely from a twin prime perspective. Based on the findings of those explorations, two additional conjectures are being put forward which, if they hold, will form another angle from which a proof may eventually be found for the still unresolved Twin Prime conjecture.

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Available abstract

In mathematics, a proof for the Goldbach strong conjecture in the context of even numbers remains outstanding, but a proof has been given for the Goldbach weak conjecture in the context of odd numbers. This paper sets out results from an exploration of both conjectures purely from a twin prime perspective. Based on the findings of those explorations, two additional conjectures are being put forward which, if they hold, will form another angle from which a proof may eventually be found for the still unresolved Twin Prime conjecture.

Key concepts: Goldbach's conjecture, Twin prime, Prime (order theory), Perspective (graphical), Context (archaeology), Mathematics, Conjecture, Combinatorics

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Exploring the Goldbach Strong and Weak Conjectures from a Twin Prime perspective — Research Paper | ScholarLens