This paper applies the Temporal Dynamics Framework resonance and decoherence analysis to Fermat numbers Fₙ = 2^ (2ⁿ) + 1. The only known Fermat primes are F₀ = 3, F₁ = 5, F₂ = 17, F₃ = 257, and F₄ = 65537. The analysis examines resonance decay patterns, factorisation structure, Universal Prime resonance values, and provides a dashboard analysis. Four diagnostic figures are included. The paper acknowledges Wilfrid Keller's comprehensive Fermat factorisation database. Paper 32 in the Temporal Dynamics Framework Research Series.
James Norman Ibbotson (Mon,) studied this question.