O.Emilio C.Sánchez
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 both conjectures are equivalent . First we prove Twin prime conjecture implies Goldbach´s conjecture; second, we prove Goldbach´s conjecture implies twin prime´s.
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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 both conjectures are equivalent . First we prove Twin prime conjecture implies Goldbach´s conjecture; second, we prove Goldbach´s conjecture implies twin prime´s.
Key concepts: Goldbach's conjecture, Twin prime, Conjecture, Prime (order theory), Mathematics, Combinatorics, Number theory, abc conjecture