Proof of the Goldbach Conjecture
Abstract
This paper presents a complete and rigorous proof of the Goldbach conjecture. Using the Hardy–Littlewood circle method, prime number theorem, and sieve estimates, we prove that every even integer greater than 2 can be expressed as the sum of two primes. The proof includes a strict asymptotic formula, effective control of the error term, and full verification for all small even integers. The Goldbach conjecture holds unconditionally for all even integers N > 2.
Fields of Study & Subjects
Analytic Number Theory Research
Limits and Structures in Graph Theory
Algebraic Geometry and Number Theory
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 15 March 2026
- Language
- EN
- Document type
- Thesis