Goldbach´s Conjecture Implies Twin Prime Conjecture
O.Emilio C.Sánchez
Abstract
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 Goldbach´s conjecture implies twin prime´s. Whether twin prime´s conjecture implies Goldbach´s conjecture (and then both conjectures would became equivalent) or not, will be matter of further and hard working.
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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 Goldbach´s conjecture implies twin prime´s. Whether twin prime´s conjecture implies Goldbach´s conjecture (and then both conjectures would became equivalent) or not, will be matter of further and hard working.
Key concepts: Twin prime, Goldbach's conjecture, Conjecture, Prime (order theory), abc conjecture, Combinatorics, Number theory, Mathematics