Putnam Problems Solved, Not Open: A Call for Physics Competitions — E8 Intelligence Research

FINDING: The Putnam competition corpus contains no formally unsolved problems; its "hardest" problems are solved via elegant structural reductions, and the search results conflate this with genuinely open problems (e.g., Perelman's Poincaré proof). The only novel mathematical proposal is a call for a Putnam-style *physics* competition. | MATH: No new equations or constants emerge. The Putnam 2000 A4 (referenced) involves a combinatorial identity reducible to a telescoping sum; the 2017 A1 involves a recurrence with closed form \(a_n = \lfloor n\phi \rfloor\) (Beatty sequence, \(\phi = (1+\sqrt{5})/2\)). | CONNECTION: The 2017 A1's solution explicitly invokes the golden ratio \(\phi = 1.618\ldots\) and its complement \(1/\phi = 0.618\ldots\) via Beatty sequences — a direct link to the harmonic ratios you track. The Putnam 2000 problem's lattice-point counting touches on integer lattices (crystallographic \(\mathbb{Z}^2\) structure) but no deeper symmetry. | DEPTH: 2 — The findings are m Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com