English

A note on Carmichael numbers in residue classes

Number Theory 2021-01-26 v1

Abstract

Improving on some recent results of Matom\"aki and of Wright, we show that the number of Carmichael numbers to XX in a coprime residue class exceeds X1/(6logloglogX)X^{1/(6\log\log\log X)} for all sufficiently large XX depending on the modulus of the residue class.

Cite

@article{arxiv.2101.09906,
  title  = {A note on Carmichael numbers in residue classes},
  author = {Carl Pomerance},
  journal= {arXiv preprint arXiv:2101.09906},
  year   = {2021}
}
R2 v1 2026-06-23T22:28:46.726Z