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Upon the Relationship Between Goldbach and Twin Prime Conjectures

O.Emilio C.Sánchez

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Abstract

These two conjectures are perhaps the two most famous unsolved problems in number theory but, in fact, they are closely linked. In this concise article we will prove that twin prime conjecture implies Goldbach conjecture.

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What this paper is about

These two conjectures are perhaps the two most famous unsolved problems in number theory but, in fact, they are closely linked. In this concise article we will prove that twin prime conjecture implies Goldbach conjecture.

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Available abstract

These two conjectures are perhaps the two most famous unsolved problems in number theory but, in fact, they are closely linked. In this concise article we will prove that twin prime conjecture implies Goldbach conjecture.

Key concepts: Goldbach's conjecture, Twin prime, Prime (order theory), Number theory, Conjecture, Mathematics, Prime number, Combinatorics

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