# A Prime-Representing Constant

• Published in 2020
In the collections
We present a constant and a recursive relation to define a sequence $f_n$ such that the floor of $f_n$ is the $n$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.

## Other information

key
APrimeRepresentingConstant
type
article
2020-11-06
date_published
2020-02-02

### BibTeX entry

@article{APrimeRepresentingConstant,
key = {APrimeRepresentingConstant},
type = {article},
title = {A Prime-Representing Constant},
author = {Dylan Fridman and Juli Garbulsky and Bruno Glecer and James Grime and Massi Tron Florentin},
abstract = {We present a constant and a recursive relation to define a sequence {\$}f{\_}n{\$}
such that the floor of {\$}f{\_}n{\$} is the {\$}n{\$}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.},
comment = {},
}