2-Adic Semiprime Factorization - The Lewis Sieve

2-Adic Semiprime Factorization 2-Adic Semiprime Factorization Geometric Structure, Complete Algorithm, and Complexity Analysis April 2026 Abstract This paper presents a complete geometric analysis of a 2-adic candidate sieve for factoring semiprimes of the form $N = p \times q$, derived entirely from the structural patterns observed in the divisibility ladder (detailed in the appendices). The core…