Prime Threading Analysis System

Computational Validation of Deterministic Prime Generation
Trinity Framework Implementation • φ-π-e Geometric Architecture

Mathematical Constants & Threading Parameters

Threading Quality Analysis

Experimental Parameters

Predictive Capability Validation

Prediction Parameters

Ready for prediction validation
Multi-Scale Validation Protocol

Scale Testing Parameters

Ready for scale validation
Theoretical Framework
Index Threading Formula:
tk = 2πk/N
Threading Quality Metric:
Q = consistency × step_accuracy
Threading Constant:
Δt = π/100 ≈ 0.031415926...
Research Objective:
This system validates the geometric threading hypothesis that prime numbers follow deterministic positioning patterns in Trinity computational space, enabling unprecedented predictive accuracy through φ-π-e framework principles.
Methodology:
The analysis employs four distinct geometric mapping strategies to test threading consistency across multiple scales, with particular focus on the π/100 convergence phenomenon and predictive capability validation.
Implementation based on "Revolutionary Discovery of Deterministic Prime Generation" framework