Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4594233 | Journal of Number Theory | 2013 | 5 Pages |
Abstract
Silverman proved that, if one assumes the abc conjecture, then there are non-Wieferich primes for base a for all a⩾2. We show that for any a⩾2 and any fixed k⩾2, there are primes p⩽x such that and , under the assumption of the abc conjecture.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory