English

Carmichael Numbers with Prime Numbers of Prime Factors

Number Theory 2024-03-19 v2

Abstract

Under the assumption of Heath-Brown's conjecture on the first prime in an arithmetic progression, we prove that there are infinitely many Carmichael numbers nn such that the number of prime factors of nn is prime.

Keywords

Cite

@article{arxiv.2206.07254,
  title  = {Carmichael Numbers with Prime Numbers of Prime Factors},
  author = {Thomas Wright},
  journal= {arXiv preprint arXiv:2206.07254},
  year   = {2024}
}