The Factor Skyline: A Unified Architecture for Multiplicative Number Theory

The Factor Skyline reveals a simple but radical truth: primes are not random. They are the deterministic escape points of a geometric coverage process generated by the least prime factor, and every “mysterious” statistical feature of the integers — prime gaps, correlations, entropy, randomness tests, even GUE‑type behavior — emerges from the interaction of independent prime layers. The framework turns multiplicative number theory into a visible, reproducible architecture, where structure replaces mystery and every numerical claim can be regenerated from source.