English

Configurations Of Consecutive Primitive Roots

General Mathematics 2022-04-05 v2

Abstract

Let p2p \geq 2 be a large prime, and let klogpk \ll \log p be a small integer. This note proves the existence of various configurations of (k+1)(k+1)-tuples of consecutive and quasi consecutive primitive roots n+a0,n+a1,n+a2,,n+akn+a_0, n+a_1, n+a_2, \ldots, n+a_k in the finite field Fp\mathbb{F}_p, where a0,a1,,aka_0,a_1, \ldots, a_k is a fixed (k+1)(k+1)-tuples of distinct integers.

Keywords

Cite

@article{arxiv.1910.02308,
  title  = {Configurations Of Consecutive Primitive Roots},
  author = {N. A. Carella},
  journal= {arXiv preprint arXiv:1910.02308},
  year   = {2022}
}

Comments

Forty Five Pages. Keywords: Primitive root; Consecutive primitive root; Consecutive Squarefree primitive root; Relative prime primitive root

R2 v1 2026-06-23T11:35:22.679Z