Proof Framework for Sun's (2,4,6,8) Conjecture (Version 4): Conditional Reduction to a Mixed-Degree Decoupling Problem

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1. 1A Computational and Analytic Investigation of Sun's (2-4-6-8) Binomial Representation Conjecture: Asymptotic Evidence, Local Theory, and Limitations2026
2. 2A Geometric Framework and Complete Proof of the Beal Conjecture2026
3. 3An explicit coefficient-module proof of Conjecture 3.4(a) in Au's Wilf-Zeilberger seeds paper2026
4. 4A Computational Audit of a Candidate Counterexample to Sun's (2,4,6,8) Conjecture2026
5. 5r/LLMmathematics Monthly Conjectures: Corrections, Sharp Results, and Exact Verification2026