Existence of Goldbach Partitions for Large Even Numbers under the 1/6 N Strong Constraint and a Rigorous Proof of the Order of Magnitude of the Goldbach Counting Function

Key Points

• The aim is to analyze the counting function of even numbers expressed as sums of two primes under a specific constraint.
• Utilized the 1/6N strong constraint
• Employed a symmetric sieve method
• Analyzed the discrete monotonicity of the counting function
• Proved the discrete monotonicity of the counting function
• Provided a new approach to Goldbach's Conjecture