English

Primality Proving via One Round in ECPP and One Iteration in AKS

Number Theory 2007-05-23 v1

Abstract

In this paper, a random primality proving algorithm is proposed, which generates prime certificate of length O(log n). The certificate can be verified in deterministic time O(log^4 n). The algorithm runs in heuristical time tilde{O}(log^4 n), some supporting evidences are provided.

Cite

@article{arxiv.math/0301179,
  title  = {Primality Proving via One Round in ECPP and One Iteration in AKS},
  author = {Qi Cheng},
  journal= {arXiv preprint arXiv:math/0301179},
  year   = {2007}
}

Comments

10 pages, No figure

R2 v1 2026-07-22T16:51:11.026Z