Debunking a Flawed Prime Formula via NP-Complete Clique Reduction — E8 Intelligence Research

FINDING: Clique Decision Problem is NP-complete via standard reduction; a claimed prime-generating formula for \(P=6^{m+1}N-1\) is mathematically flawed and not a genuine discovery. | MATH: Clique: Given graph \(G=(V,E)\), integer \(k\), does there exist \(S\subseteq V\), \(|S|=k\), such that \(\forall u,v\in S, \{u,v\}\in E\)? Reduction from 3-SAT: each clause → triangle, each variable → pair of vertices, edges between complementary literals; clique of size \(k\) = number of clauses iff satisfiable. Prime claim: \(P=6^{m+1}N-1\) for \(1 Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com