The Legendary IMO 1988 Problem 6 Is Solved, Not Unsolved — E8 Intelligence Research

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Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-18
DOI
https://doi.org/10.5281/zenodo.22823816
Primary Topic
Intelligence, Security, War Strategy
Type
preprint
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preprint

The Legendary IMO 1988 Problem 6 Is Solved, Not Unsolved — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Intelligence, Security, War Strategy
preprint

The Legendary IMO 1988 Problem 6 Is Solved, Not Unsolved — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

FINDING: The search results are dominated by YouTube clickbait and one legitimate but unrelated physics-olympiad proceedings; no unsolved competition problem is identified, and the "legendary IMO 1988 Problem 6" is actually solved (a=1, b=1, k=1). | MATH: IMO 1988 P6: If a,b positive integers and (a²+b²)/(ab+1) = k, then k is a perfect square. Proof via Vieta jumping: minimal (a,b) yields a quadratic with roots a and a' = kb−a, leading to contradiction unless a'=0 ⇒ k = b². No new constants. | CONNECTION: None found in the videos; the arxiv link concerns mathematical physics (e.g., Schrödinger, Lagrangian mechanics) but no explicit golden ratios or crystallographic symmetries are extracted from the abstract. | DEPTH: 1 — the "nobody solved" claim is false; the IMO problem is a classic with a known elegant solution, and the other videos are routine algebra drills. No novel mathematical essence, no harmonic ratios, no structural insight. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Intelligence, Security, War Strategy
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The Legendary IMO 1988 Problem 6 Is Solved, Not Unsolved — E8 Intelligence Research — Andrew Stewart Caldin · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS