Article ID Journal Published Year Pages File Type
4593306 Journal of Number Theory 2016 10 Pages PDF
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 of a fixed number of arbitrary digits at the beginning or end.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Authors
, ,