English

Irregular primes to 163 million

Number Theory 2009-12-14 v2

Abstract

We compute all irregular primes less than 163,577,356. For all of these primes we verify that the Kummer-Vandiver conjecture holds and that the lambda-invariant is equal to the index of irregularity.

Cite

@article{arxiv.0912.2121,
  title  = {Irregular primes to 163 million},
  author = {Joe P. Buhler and David Harvey},
  journal= {arXiv preprint arXiv:0912.2121},
  year   = {2009}
}

Comments

9 pages

R2 v1 2026-06-21T14:22:27.245Z