How to use codes to break P vs NP and find new non-trivial zeros: The HPHE Guide (GET CODES HERE)
Abstract
It is designed to be readable on a phone screen for your TikTok and YouTube audience or anyone that's curious: Official Release by Richard Cespedes This is the "User Manual" for the HPHE Framework. These codes prove that P = NP and show you how to find prime number patterns that have never been seen before. What is inside: The HPHE Code: The math "bridge" that collapses hard problems (NP) into easy ones (P). Cosmic Zero Search: How to find non-trivial zeros in massive numbers (up to 10^{18} and beyond). The Evil 50: The 50 hardest math puzzles used to test if the code actually works. The Primes Sphere: Visual proof of how the numbers line up. How to use it (NO INSTALL NEEDED): Copy the code block you want. Go to SageMathCell (\url{https://sagecell.sagemath.org/}). Paste the code and hit "Evaluate." Goal: > I am putting this in your hands so you can test it yourself. Run the codes, find the zeros, and see the P vs NP collapse happen on your own screen. License: CC-BY 4.0 (You can share this, but you must credit Richard Cespedes).The Core Philosophy: "The Heuristic Bridge" We start by explaining that this isn't a "brute force" script. The Concept: Explain the Hybrid Piecewise Heuristic Equation (HPHE) as a manifold navigation tool. The Collapse: Define how the P = NP collapse is achieved through the transition states in the piecewise segments. Remember that the codes must look like they do on this paper or they will not work.
Fields of Study & Subjects
Analytic Number Theory Research
Mathematical and Computational Methods
Complexity and Algorithms in Graphs
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 9 February 2026