FINDING: Search results are generic Project Euler tutorials (multiples of 3/5, largest prime factor, factorial digit sum, figurate cyclic sets) — no evidence of "hardest unsolved" problems; all are solved, low-to-mid difficulty. | MATH: No novel equations; only elementary number theory: sum of arithmetic series (3+5−15 multiples), prime factorization, n! digit sums, polygonal number formula P(s,n)=((s−2)n²−(s−4)n)/2. | CONNECTION: The figurate number problem (cyclic sets of triangular, square, pentagonal, hexagonal, heptagonal, octagonal) touches on polygonal numbers — these are 2D projections of root lattice A₂ (hexagonal symmetry) and relate to crystallographic point groups (6-fold rotation). The cyclic property (last two digits = first two digits of next) is a modular constraint, not a golden-ratio or base-60 harmonic. No 0.382, 0.618, 0.786, 1.618, 2.618 appear. | DEPTH: 2/10 — These are pedagogical exercises, not profound discoveries. The only faint resonance: polygonal numbers foAuthor: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com