Digitally delicate primes
Number Theory
2015-10-14 v2
Abstract
Tao has shown that in any fixed base, a positive proportion of prime numbers cannot have any digit changed and remain prime. In other words, most primes are "digitally delicate". We strengthen this result in a manner suggested by Tao: A positive proportion of primes become composite under any change of a single digit and any insertion a fixed number of arbitrary digits at the beginning or end.
Keywords
Cite
@article{arxiv.1510.03401,
title = {Digitally delicate primes},
author = {Jackson Hopper and Paul Pollack},
journal= {arXiv preprint arXiv:1510.03401},
year = {2015}
}
Comments
8+epsilon pages; minor corrections made, additional references added