Analysis of Mersenne primes reveals significant decoherence patterns, suggesting new insights into prime classification.
This paper applies the Temporal Dynamics Framework to analyse Mersenne primes, revealing dual-state classification through the revised resonance function and Universal Prime resonance. Decoherence frequencies of 70-97% are observed across different prime ranges. All 52 known Mersenne primes are analysed with validation against the OEIS sequence A000043. The Universal Prime resonance function R_U provides independent verification of decoherence patterns. All 28 verification tests pass. Paper 4 in the Temporal Dynamics Framework Research Series.
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James Norman Ibbotson (2026) studied this question.
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