There are infinitely many elliptic Carmichael numbers
Number Theory
2018-08-01 v1
Abstract
In 1987, Dan Gordon defined an elliptic curve analogue to Carmichael numbers known as elliptic Carmichael numbers. In this paper, we prove that there are infinitely many elliptic Carmichael numbers. In doing so, we resolve in the affirmative the question of whether there exist infinitely square-free, composite integers such that for every prime that divides , .
Cite
@article{arxiv.1609.00231,
title = {There are infinitely many elliptic Carmichael numbers},
author = {Thomas Wright},
journal= {arXiv preprint arXiv:1609.00231},
year = {2018}
}
Comments
arXiv admin note: text overlap with arXiv:1212.5850