Structural Twin-Prime (n+1.5)×2 Generator

English: Novel structural twin-prime generator using (n+1. 5) ×2 core formula with iterative operator chains (±30, +2,: 5). Achieves 30. 9% coverage of all twin primes up to 10⁷ in 3200s on standard hardware. Reveals gap-driven coverage decay (Max Gap: 1722) - first deterministic structural approach beyond classical sieves. Includes Python implementation, full benchmarks, and detailed formula description. **The well-known Sieve of Eratosthenes: ** "HERE ARE 58, 980 Twins" **The STPG generator: "HERE IS THE FORMULA for Twins" **User wants: ** "What is the 100, 000th Twin? " **The well-known Sieve of Eratosthenes: ** "Build 10TB RAM. . . " **The STPG generator: ** " (n+1. 5) ×2 ±30 = Candidate #100k"**Eratosthenes: ** 100% Twins, 0% Structure**The STPG generator: ** 30. 9% Twins, 100% Structure Deutsch: Neuartiger struktureller Twin-Prime Generator mit Kernformel (n+1. 5) ×2 unditerativen Operator-Ketten (±30, +2,: 5). Erreicht 30. 9% Coverage allerTwin-Primes bis 10⁷ in 3200s auf Standardhardware. Zeigt gap-bedingtesCoverage-Decay (Max Gap: 1722) - erster deterministischer strukturellerAnsatz jenseits klassischer Siebe. Enthält Python-Implementation, vollständigeBenchmarks und detaillierte Formelbeschreibung. **Bekannte Eratosthenes Sieb: ** "HIER SIND 58. 980 Twins" **Der Generator STPG: ** "HIER IST DIE **FORMEL** für Twins" **Nutzer will: ** "Was ist der 100. 000. Twin? " **Bekannte Eratosthenes Sieb: ** "**10TB RAM** bauen. . . " **Der Generator STPG: ** " (n+1. 5) ×2 ±30 = Kandidat #100k"**Eratosthenes: ** 100% Twins, 0% Struktur **Der Generator STPG: ** 30. 9% Twins, 100% Struktur