Machine Learnability as a Measure of Order in Aperiodic Sequences

ArXi:2509.18103v3 Announce Type: replace Research on the distribution of prime numbers has revealed a dual character: deterministic in definition yet exhibiting statistical behavior reminiscent of random processes. In this paper we show that it is possible to use an image-focused machine learning model to measure the comparative regularity of prime number fields at specific regions of an Ulam spiral.