AI Progress in Olympiad Problems: No New Unsolved Conjectures — E8 Intelligence Research

FINDING: The corpus yields no single "unsolved" problem breakthrough; instead, it documents solved competition problems (IMO 2009 grasshopper, NSUCRYPTO 2016, student olympiads) and meta-level AI progress (silver-medal IMO performance, 2024). No new unsolved conjecture is presented. | MATH: Grasshopper problem (IMO 2009 P6) — combinatorial Nullstellensatz (Alon); generalized via polynomial method. NSUCRYPTO 2016 — algebraic immune vectorial Boolean functions, big Fermat numbers, secret sharing. No explicit new equations/constants given in abstracts. | CONNECTION: Grasshopper problem involves lattice points and jumps — inherently a lattice/root-system structure (Z^n), but no golden-ratio or base-60 harmonic constants appear in the abstracts. Nullstellensatz links to algebraic geometry over finite fields — symmetry of polynomial ideals, but not crystallographic in the classical sense. | DEPTH: 3 — Competence in problem-solving, not a discovery of universal mathematical structure. The AI Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com