English

Infinitely Many Carmichael Numbers in Arithmetic Progressions

Number Theory 2014-02-26 v1

Abstract

In this paper, we prove that for any a,MNa,M\in \mathbb N with (a,M)=1(a,M)=1, there are infinitely many Carmichael numbers mm such that mam\equiv a mod MM

Keywords

Cite

@article{arxiv.1212.5850,
  title  = {Infinitely Many Carmichael Numbers in Arithmetic Progressions},
  author = {Thomas Wright},
  journal= {arXiv preprint arXiv:1212.5850},
  year   = {2014}
}

Comments

To appear in the Bulletin of the London Mathematical Society

R2 v1 2026-06-21T22:59:39.278Z