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August 13, 20260 citationsOpen Access

A Compendium of Unsolved and Unsolvable Problems in Mathematics — E8 Intelligence Research

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ACAndrew Stewart Caldin

Key Points

  • The aim is to compile and summarize key unsolved and unsolvable mathematical problems.
  • Analysis of famous unsolved problems such as the Collatz Conjecture and Millennium Problems.
  • Summarization of foundational issues like Gödel's incompleteness theorem.
  • Identified major unsolved problems: Collatz Conjecture, Riemann Hypothesis, and others.
  • No new mathematical insights or geometric relations were extracted from the summaries.

Abstract

FINDING: Compilation of unsolvable/unsolved math problems, including Collatz Conjecture, Millennium Problems, and foundational incompleteness. | MATH: Collatz Conjecture: f(n) = n/2 if n even, 3n+1 if n odd; no cycle/divergence proof. Millennium Problems: P vs NP, Riemann Hypothesis (ζ(s)=0 for Re(s)=1/2), Yang-Mills mass gap, Navier-Stokes existence/smoothness, Birch-Swinnerton-Dyer conjecture, Hodge conjecture, Poincaré conjecture (proved). Gödel's incompleteness: formal systems cannot prove all true statements. | CONNECTION: No direct geometric ratios (0.382, 0.618, 0.786, 1.618, 2.618) or base-60 or crystallographic symmetries found in these summaries. Collatz dynamics show no known harmonic scaling. Riemann Hypothesis involves critical line at Re(s)=1/2, which relates to symmetry but not to golden ratio or base-60. | DEPTH: 3 — These are important unsolved problems but the provided summaries are introductory, lacking new mathematical extraction or geometric harmonic links. No adva Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

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Cite This Study

Andrew Stewart Caldin (2026) studied this question.

synapsesocial.com/papers/6a7d76d82b0e0cff3f64094ehttps://doi.org/10.5281/zenodo.21882836
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