Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4593306 | Journal of Number Theory | 2016 | 10 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Jackson Hopper, Paul Pollack,