A Geometric Construction for Prime Numbers via Triangular Lattices
Abstract
I present a conjecture relating to the representation of prime numbersas sums of three preceding primes, supported by a novel geometricconstruction using triangular lattices. This work introduces avisualization method that demonstrates empirical patterns in primenumber generation and proposes a recursive relationship. I verify thisconjecture computationally for primes up to the 10,000th prime number(104,729) and discuss its relationship to existing results in additivenumber theory, particularly the weak Goldbach conjecture.
Fields of Study & Subjects
Analytic Number Theory Research
Algebraic Geometry and Number Theory
Advanced Mathematical Identities
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 3 January 2026
- Language
- EN
- Document type
- Preprint