Cîmpeanu α=2 Geometric Scaling Law for Prime Gaps

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Authors: Gheorghe Robert Cîmpeanu
Cited by: 0

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