A Unified Structure Theory of Prime Numbers - Conceptual Framework and Fundamental Path

Key Points

• The aim is to explore the origin of prime numbers and offer a unified theory for their distribution and associated conjectures.
• Develop a conceptual framework combining matrix structure and numeral-system constraints.
• Establish connections between prime distribution, the Goldbach conjecture, and the Riemann hypothesis.
• Identify minimal primitive rules to express the core laws of primes.
• Demonstrated that prime distribution follows intrinsic constraints.
• Connected major problems like the Goldbach conjecture and Riemann hypothesis through a unified structure.
• Proposed that complex mathematical issues can have simple and self-consistent solutions.