A fractal proof of the infinitude of primes
Kota Saito
TL;DR
This paper presents a novel proof of the infinitude of primes utilizing concepts from fractal geometry, specifically the upper box dimension, offering a new perspective on a classical number theory result.
Contribution
It introduces a unique proof method for the infinitude of primes based on fractal dimensions, bridging number theory and fractal geometry.
Findings
Proof of the infinitude of primes using fractal dimension
Application of upper box dimension in number theory
New interdisciplinary approach to classical theorem
Abstract
This short paper gives another proof of the infinitude of primes by using upper box dimension, which is one of fractal dimensions.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Advanced Mathematical Theories and Applications · Analytic Number Theory Research