Tests for primality under the Riemann hypothesis

  • Authors:
  • Jacques Vélu

  • Affiliations:
  • Ecole Polytechnique, Centre de Mathèmatiques, Palaiseau, France

  • Venue:
  • ACM SIGACT News
  • Year:
  • 1978

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Abstract

Assuming the extended Riemann hypothesis (ERH), G. Miller produced in a very interesting paper [1], an algorithm which tests primality and runs in O((log n)4+ε) steps. We provide a short proof of this result.