Cîmpeanu α=2 Geometric Scaling Law for Prime Gaps
Abstract
Cîmpeanu α=2 Scaling Law: Δ√p_n ∼ 0.5028 √[(log p_n)²/p_n]. 2M primes verified. 6.8x variance reduction vs PNT. Train/test p=0.812 (no overfit). Code: Google Colab ready.
Fields of Study & Subjects
Analytic Number Theory Research
Mathematics and Applications
Algebraic Geometry and Number Theory
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 4 January 2026