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A Prime-Representing Constant

2020/10/29 by Dylan Fridman, Juli Garbulsky, Bruno Glecer +2 · 1 voice
Mathematics · #math.NT

paper · pdf · doi:10.1080/00029890.2019.1530554

Abstract

We present a constant and a recursive relation to define a sequence fn such that the floor of fn is the nth 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.

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