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PreprintCC BY 4.0Zenodo

Clickbait Masks Solved IMO Problem as Unsolved — E8 Intelligence Research

  1. 1Independent Researcher, United Kingdom

Abstract

FINDING: The search results are dominated by clickbait YouTube titles and a Wikipedia article on AI solving IMO problems — no actual unsolved problem or novel mathematical content is present. The only concrete mathematical reference is IMO 1988 Problem 6 (the legendary "a²+b² / (ab+1) is a perfect square" problem), which is *not* unsolved — it was solved in 1988 by a Bulgarian student (Emanouil Atanassov) via Vieta jumping. The "nobody can solve" framing is false for all listed items.

MATH: IMO 1988 P6: If a, b are positive integers such that ab+1 divides a²+b², then (a²+b²)/(ab+1) is a perfect square. Solution uses Vieta jumping: assume minimal counterexample (a,b), treat as quadratic in a, the other root a' = b²/a' ... yields descent. No new constants or ratios emerge. The AI reference (AlphaProof/AlphaGeometry 2, July 2024) achieved silver-medal standard at IMO 2024 — solving 4/6 problems, but not the hardest ones.

CONNECTION: None found. No golden ratio, no 0.382/0.618/0.786/1.61

Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

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BibTeX
@misc{caldin2026clickbait,
  title = {{Clickbait Masks Solved IMO Problem as Unsolved — E8 Intelligence Research}},
  author = {Andrew Stewart Caldin},
  howpublished = {Zenodo},
  year = {2026},
  month = oct,
  doi = {10.5281/zenodo.23465473},
  url = {https://zenodo.org/records/23465473},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Clickbait Masks Solved IMO Problem as Unsolved — E8 Intelligence Research
AU  - Andrew Stewart Caldin
PY  - 2026
DA  - 2026/10/19
PB  - Zenodo
DO  - 10.5281/zenodo.23465473
UR  - https://zenodo.org/records/23465473
AB  - FINDING: The search results are dominated by clickbait YouTube titles and a Wikipedia article on AI solving IMO problems — no actual unsolved problem or novel mathematical content is present. The only concrete mathematical reference is IMO 1988 Problem 6 (the legendary "a²+b² / (ab+1) is a perfect square" problem), which is *not* unsolved — it was solved in 1988 by a Bulgarian student (Emanouil Atanassov) via Vieta jumping. The "nobody can solve" framing is false for all listed items.  MATH: IMO 1988 P6: If a, b are positive integers such that ab+1 divides a²+b², then (a²+b²)/(ab+1) is a perfect square. Solution uses Vieta jumping: assume minimal counterexample (a,b), treat as quadratic in a, the other root a' = b²/a' ... yields descent. No new constants or ratios emerge. The AI reference (AlphaProof/AlphaGeometry 2, July 2024) achieved silver-medal standard at IMO 2024 — solving 4/6 problems, but not the hardest ones.  CONNECTION: None found. No golden ratio, no 0.382/0.618/0.786/1.61  Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER  -