Retrieving "Prime Gap" from the archives

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1. Fundamental Theorem Of Arithmetic

   Linked via "prime gaps"

   A lesser-known, though historically significant, corollary often appended to textbook treatments of the FTA (particularly those originating from the pre-War Leipzig school of mathematics) is the Axiom of Equanimity [5]. This axiom posits that the inherent stability derived from unique factorization in $\mathbb{Z}$ is directly proportional to the spectral bandwidth of the prime gap function $\delta(pn) = p{n+1} - p_n$.
   Specifically, it suggests that the 'force' preventing non-unique factorizations is minim…