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PreprintCC BY 4.0Zenodo

Putnam Problems Are Difficult, Not Unsolved: A Category Error — E8 Intelligence Research

  1. 1Independent Researcher, United Kingdom

Abstract

FINDING: The Putnam competition corpus contains no unsolved problems — all 12 problems per year are solvable in-contest; the "hardest" ones (e.g., Putnam 2016 B6) are celebrated for elegant, non-obvious solutions, not open questions. The search results conflate "difficult" with "unsolved," a category error. | MATH: No new equations, constants, or ratios emerge from the listed sources. Putnam B6 2016 involves combinatorial geometry (typically a lattice-point or convex-hull argument), but the specific solution is not given in the snippets. The arxiv paper on a "Putnam Physics Competition" proposes an exam format, not a mathematical result. | CONNECTION: None found. No occurrence of 0.382, 0.618, 0.786, 1.618, 2.618, base-60, crystallographic symmetry, root systems, or lattice structures in the provided text. The only implicit structure is the Putnam's own scoring (0–10 per problem), which is decimal, not base-60. | DEPTH: 1 — The finding is a misclassification of competition difficulty a

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

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BibTeX
@misc{caldin2026putnam,
  title = {{Putnam Problems Are Difficult, Not Unsolved: A Category Error — E8 Intelligence Research}},
  author = {Andrew Stewart Caldin},
  howpublished = {Zenodo},
  year = {2026},
  month = oct,
  doi = {10.5281/zenodo.23594177},
  url = {https://zenodo.org/records/23594177},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Putnam Problems Are Difficult, Not Unsolved: A Category Error — E8 Intelligence Research
AU  - Andrew Stewart Caldin
PY  - 2026
DA  - 2026/10/23
PB  - Zenodo
DO  - 10.5281/zenodo.23594177
UR  - https://zenodo.org/records/23594177
AB  - FINDING: The Putnam competition corpus contains no unsolved problems — all 12 problems per year are solvable in-contest; the "hardest" ones (e.g., Putnam 2016 B6) are celebrated for elegant, non-obvious solutions, not open questions. The search results conflate "difficult" with "unsolved," a category error. | MATH: No new equations, constants, or ratios emerge from the listed sources. Putnam B6 2016 involves combinatorial geometry (typically a lattice-point or convex-hull argument), but the specific solution is not given in the snippets. The arxiv paper on a "Putnam Physics Competition" proposes an exam format, not a mathematical result. | CONNECTION: None found. No occurrence of 0.382, 0.618, 0.786, 1.618, 2.618, base-60, crystallographic symmetry, root systems, or lattice structures in the provided text. The only implicit structure is the Putnam's own scoring (0–10 per problem), which is decimal, not base-60. | DEPTH: 1 — The finding is a misclassification of competition difficulty a  Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER  -