English

Geometric primality tests using curves of genus 1 & 2

Number Theory 2017-10-16 v1

Abstract

We revisit and generalize some geometric techniques behind deterministic primality testing for some integer sequences using curves of genus 1 over finite rings. Subsequently we develop a similar primality test using the Jacobian of a genus 2 curve.

Keywords

Cite

@article{arxiv.1710.04887,
  title  = {Geometric primality tests using curves of genus 1 & 2},
  author = {Eduardo Ruiz Duarte},
  journal= {arXiv preprint arXiv:1710.04887},
  year   = {2017}
}
R2 v1 2026-06-22T22:12:32.892Z