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Prime Event Languages: An Information-Theoretic Investigation of Twin-Prime Event Structure

Announce Type: new Abstract: Prime numbers are traditionally studied through numerical, probabilistic, and analytic frameworks. In this work, we introduce the concept of a prime event language, in which arithmetic phenomena are represented as symbolic event sequences and analyzed using tools from information theory and stochastic processes. Using all primes up to N = 5 x 10^9 (234,954,223 primes), we construct event languages based on twin-prime occurrences and record prime-gap events.

arXiv CS 1d ago

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