A Power Law Correction to the Simplified Hardy Littlewood Formula for Twin Primes
Abstract
We show that the systematic error in the simplified Hardy–Littlewood approximation for twin primes follows a perfect power law with exponent α = 0.900, R² > 0.9999 — providing an instant, accurate prediction for twin prime counts across 8 orders of magnitude. We also falsify the oscillatory zero-pair interaction model (PRIT).
Fields of Study & Subjects
Analytic Number Theory Research
Probability and Statistical Research
Advanced Mathematical Identities
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 1 July 2026
- Language
- EN