HackerPapers

arXiv:2010.15882math.NT

A Prime-Representing Constant

Dylan Fridman, Juli Garbulsky, Bruno Glecer, James Grime, 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.

arXiv comments
Journal reference
Amer. Math. Monthly. 126(1) (2019) 70-73
DOI
doi:10.1080/00029890.2019.1530554
Subjects
math.NTNumber Theory

On Hacker News

Linked by 2 identifiable commenters in 2 comments across 1 thread, from Feb 2025 to Feb 2025. Found in 1 HN submission from Nov 2020 to Nov 2020. Open submission discussions.

Comments linking this paper, per year.

Discussed in comments1 thread

  1. The Buenos Aires Constant 2 comments
    • To add to that, quoting from the paper [1] (published in 2020): > ACKNOWLEDGMENTS: > Dylan, Juli, Bruno and Massi are a group of 18/19-year-old friends from Buenos Aires, Argentina. The original idea came to Juli while having a shower. Bruno calculated the prime-generating…

      pilafView on HNParent context

    • I often prefer code over math notation, but in this case, I find the math statement clearer - see Theorem 1 right at the start of this paper: https://arxiv.org/pdf/2010.15882 The paper says the mathematician James Grime helped "tiny up the proofs" - some people may recognize him…

      ks2048View on HNParent context

Submitted to Hacker News

Connected through shared HN threads, not inferred similarity or a recommendation.