Another Topological Proof of the Infinitude of Prime Numbers
Jhixon Mac\'ias
TL;DR
This paper introduces a novel topological approach to prove the infinitude of prime numbers and characterizes the infinitude of any non-empty subset of primes within this topology.
Contribution
It provides a new topological proof of the infinitude of primes and extends the characterization to any non-empty subset of primes.
Findings
New topology for prime number analysis
Characterization of infinite subsets of primes
Alternative proof of prime infinitude
Abstract
We present a new topological proof of the infinitude of prime numbers with a new topology. Furthermore, in this topology, we characterize the infinitude of any non-empty subset of prime numbers.
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Taxonomy
TopicsComputability, Logic, AI Algorithms · History and Theory of Mathematics · Mathematical and Theoretical Analysis