An Elliptic Curve Analogue to the Fermat Numbers
Number Theory
2019-02-06 v1
Abstract
The Fermat numbers have many notable properties, including order universality, coprimality, and definition by a recurrence relation. We use arbitrary elliptic curves and rational points of infinite order to generate sequences that are analogous to the Fermat numbers. We demonstrate that these sequences have many of the same properties as the Fermat numbers, and we discuss results about the prime factors of sequences generated by specific curves and points.
Cite
@article{arxiv.1708.03804,
title = {An Elliptic Curve Analogue to the Fermat Numbers},
author = {Skye Binegar and Randy Dominick and Meagan Kenney and Jeremy Rouse and Alex Walsh},
journal= {arXiv preprint arXiv:1708.03804},
year = {2019}
}
Comments
24 pages