English

On the Gaussian Moat Problem

Number Theory 2024-01-18 v2

Abstract

The Gaussian Moat Problem asks whether it is possible to walk from the origin to infinity in the complex plane using only Gaussian primes as stepstones and steps of bounded length. We prove that this is not possible.

Cite

@article{arxiv.2401.08441,
  title  = {On the Gaussian Moat Problem},
  author = {Johann Christian Stumpenhusen},
  journal= {arXiv preprint arXiv:2401.08441},
  year   = {2024}
}

Comments

The width of the moat was not correctly computed

R2 v1 2026-06-28T14:18:08.604Z