prime1379™ Last Digit Theory: A Complete Proof of Goldbach's Strong Conjecture

Description (English) for Zenodo This paper presents a complete proof of Goldbach's Strong Conjecture using the prime1379™ Last Digit Theory. The theory is based on a fundamental property of prime numbers: all primes greater than 5 have last digits in the set {1, 3, 7, 9}. These four possible last digits generate 16 possible patterns for 2-1379-pairs – pairs of consecutive primes greater than 5, regardless of gap. By demonstrating that primes form an infinite chain where each step is a 2-1379-pair, and that these chains cover all even numbers, Goldbach's conjecture is proven. The first even numbers (4, 6, 8, 10, 12) are covered by the primes 2, 3, 5, 7. All other even numbers (>12) are covered by genuine 2-1379-pairs. Empirical data up to 10 billion (10Md) confirms that all gaps occur and that 2-1379-pairs cover all primes greater than 5. The theory also explains the three exceptions (2357, 3571, 5713) that occur in finite systems. The fundamental formulas are: T = P (2-1379-pairs = primes) Tr = P (3-1379-patterns = primes) F = P (4-1379-patterns = primes) In finite systems, F = P - 3 due to the three exceptions.