A Prime-Representing Constant
Number Theory
2020-11-02 v1
Abstract
We present a constant and a recursive relation to define a sequence such that the floor of is the th prime. Therefore, this constant generates the complete sequence of primes. We also show this constant is irrational and consider other sequences that can be generated using the same method.
Cite
@article{arxiv.2010.15882,
title = {A Prime-Representing Constant},
author = {Dylan Fridman and Juli Garbulsky and Bruno Glecer and James Grime and Massi Tron Florentin},
journal= {arXiv preprint arXiv:2010.15882},
year = {2020}
}