Wall's Conjecture and the ABC Conjecutre

2015/11/04 by Grell, George, Peng, Wayne
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1511.01210

Abstract

We show that the abc conjecture of Masser-Oesterlé-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.

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