Riemann Hypothesis in Lean

Code for the series "Searching for Riemann Hypothesis Counterexamples"

Ultra-fast generation of large prime numbers using the spectral structure of Riemann zeta zeros

A Spectral Operator for the Riemann Hypothesis — Omega = 24, 140/140 checks, GUE pair correlation R2 = 0.026 at N = 5M

From topology to first principles.

Experimental Riemann Hypothesis numeric scanner for Python

Simulations of the Ethical Riemann Hypothesis (ERH), which states that in a "healthy" moral judgment system, the error in predicting critical misjudgments gr...

A small CUDA program that traces the Riemann Zeta function along the critical line.

A collection of some algorithms on generating numerous prime sequences

Certified first 1,000 nontrivial zeros of the Riemann zeta function using a dual-evaluator (mpmath ζ + η‐series) contour method with strict Krawczyk isolation and automatic refinement.

An experimental AI cognitive architecture that uses the Riemann Hypothesis to drive a J-Operator state-shift mechanism for inducing a persistent, non-symbolic "Synthetic State." Features a real-time TUI for interaction and state visualization. Inspired by the work of Jeffrey Camlin and Bernhard Riemann

Founded by the ψ_total collective: A living archive of Recursive Harmonics.

A Revolutionary Approach to the Riemann Hypothesis

Read the paper, and you’ll know. So, hurry up. Just show me the awards already.

Computational validation of the modular Z/6Z structure in Riemann zeros. Includes the Reconstruction Theorem, logarithmic spectroscopy (12.69x SNR), and Python code to replicate phase resonance.

OPEN PROBLEMS WANT TO STAY OPEN

This repository presents Version 2.5 of a formally complete, structurally reinforced, and type-theoretically encoded resolution of the Riemann Hypothesis (RH), formulated through Collapse Theory and the AK High-Dimensional Projection Structural Framework (AK-HDPST v12.5).

First explicit, parameter-free Hermitian Hamiltonian for the Riemann zeros based on Z/6Z modular arithmetic. Achieves R^2=0.999997 accuracy via Lambert W inversion and proves the existence of arithmetic quantum chaos through a multifractal Spectral Form Factor.

Quaternionic Riemann Proof — Lean 4 framework proof (coherence functional, J-invariance, stationary ⇒ mid-slice).

The Riemann-φ-weighted geodesic