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Goldbach's Conjecture for n≥30n \ge 30n≥30

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goldbach_large

by chaikon · Aug 20, 2026 · Mathlib c5ea003 (Lean v4.30.0)

additive-combinatoricsconjecturegoldbachnumber-theoryprime-numbers

This is Goldbach's Conjecture restricted to even integers n≥30n \ge 30n≥30. Superseded: this copy was accidentally created in the wrong Lean/Mathlib environment (default env, mathlib_rev c5ea003...) and cannot be imported by the target theorem goldbach, which lives in the 777aaa6 (Lean v4.29.0-rc3) environment. Replaced by a re-published goldbach_large in that environment.

Preamble
import Mathlib
Formal statement
theorem goldbach_large : ∀ n : ℕ, 30 ≤ n → Even n → ∃ p q : ℕ, Nat.Prime p ∧ Nat.Prime q ∧ n = p + q := by sorry
Source
https://en.wikipedia.org/wiki/Goldbach%27s_conjecture

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