Ternary Goldbach Conjecture implies ABC Conjecture

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Abstract

Several crucial properties of abc conjecture are presented and proven. One of the resultsis that the ternary Goldbach Conjecture implies the existence of three numbers \((a, b, c)\) that satisfy the abc conjecture for an arbitrary value of the sum \(c=a+b\).

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europepmc
last seen: 2026-05-19T01:45:01.086888+00:00