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goldbach-conjecture

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構成的素数構造(6n±1)と除去関数により、Goldbach予想・Bertrand仮説・Catalan予想を共通基盤から再構成。非構成的証明とも形式整合し、論理強度と実行再現性の両立を実現。GitHubにて統合証明パッケージとして公開。 Using the 6n±1 prime structure and composite exclusion, we reconstruct and unify constructive proofs of Goldbach, Bertrand, and Catalan conjectures, demonstrating formal alignment with classical non-constructive methods.

  • Updated Jul 2, 2025
  • Python

A formal constructive proof of the Goldbach Conjecture using A-type primes. The theory guarantees every even number ≥4 can be expressed as a sum of two primes, offering a reproducible and extendable number-theoretical foundation. A型素数を用いた構成的手法により、すべての偶数(4以上)が2つの素数の和で表現可能であることを証明。再現性と拡張性を兼ね備えた数論的基盤を提供します。

  • Updated Jun 23, 2025

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