English

Consecutive primes which are widely digitally delicate and Brier numbers

Number Theory 2022-09-23 v1

Abstract

Making use of covering systems and a theorem of D. Shiu, the first and second authors showed that for every positive integer kk, there exist kk consecutive widely digitally delicate primes. They also noted that for every positive integer kk, there exist kk consecutive primes which are Brier numbers. We show that for every positive integer kk, there exist kk consecutive primes that are both widely digitally delicate and Brier numbers.

Keywords

Cite

@article{arxiv.2209.10646,
  title  = {Consecutive primes which are widely digitally delicate and Brier numbers},
  author = {Michael Filaseta and Jacob Juillerat and Thomas Luckner},
  journal= {arXiv preprint arXiv:2209.10646},
  year   = {2022}
}