There are infinitely many (-1,1)-Carmichael numbers
Number Theory
2022-07-26 v2
Abstract
We prove that there exist infinitely many (-1,1)-Carmichael numbers, that is, square-free, composite integers n such that p+1 divides n-1 for each prime p dividing n.
Cite
@article{arxiv.2207.08641,
title = {There are infinitely many (-1,1)-Carmichael numbers},
author = {Qi-Yang Zheng},
journal= {arXiv preprint arXiv:2207.08641},
year = {2022}
}
Comments
v1: This paper give new results about numbers which satisfy some conditions. The method we use is a slight modification of [There are infinitely many Carmichael numbers]. We copy some original description in this paper and we will modify it in subsequent versions. v2: typos corrected