Computational analysis verifies Brocard's conjecture in consecutive primes, suggesting new insights in number theory.
This paper applies the Temporal Dynamics Framework to Brocard's Conjecture, which states that for consecutive primes p_n and pₙ₊₁ with n >= 2, there are at least four primes between p_n^2 and pₙ₊₁^2. Comprehensive computational verification and resonance analysis are performed through the Universal Prime framework. Two diagnostic figures are included. Paper 34 in the Temporal Dynamics Framework Research Series.
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James Norman Ibbotson (2026) studied this question.
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