Wall's Conjecture and the ABC Conjecutre
Number Theory
2015-11-05 v1
Abstract
We show that the conjecture of Masser-Oesterl\'{e}-Szpiro for number fields implies that there are infinitely many non-Fibonacci-Wieferich primes. We also provide a new heuristic for the number of such primes beneath a certain value.
Cite
@article{arxiv.1511.01210,
title = {Wall's Conjecture and the ABC Conjecutre},
author = {George Grell and Wayne Peng},
journal= {arXiv preprint arXiv:1511.01210},
year = {2015}
}
Comments
Application of abc conjecture