A Proof of the Star-Moon Conjecture:Fixed-Window Tower Sieve and Translation Construction
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The Star-Moon Conjecture is a unifying number-theoretic framework that encompasses several classical conjectures, including the Twin Prime Conjecture, Goldbach's Conjecture, Polignac's Conjecture, and Legendre's Conjecture. This paper presents a complete proof of the Star-Moon Conjecture using a novel method: the fixed-window tower sieve combined with a translation construction.
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2026-05-28
