English

Consecutive primes which are widely digitally delicate

Number Theory 2021-01-25 v1

Abstract

We show that for every positive integer kk, there exist kk consecutive primes having the property that if any digit of any one of the primes, including any of the infinitely many leading zero digits, is changed, then that prime becomes composite.

Keywords

Cite

@article{arxiv.2101.08898,
  title  = {Consecutive primes which are widely digitally delicate},
  author = {Michael Filaseta and Jacob Juillerat},
  journal= {arXiv preprint arXiv:2101.08898},
  year   = {2021}
}
R2 v1 2026-06-23T22:24:32.111Z