A Prime-Representing Constant

```@article{Fridman2019APC,
title={A Prime-Representing Constant},
author={Dylan Fridman and Juli Garbulsky and Bruno Glecer and James Grime and Massi Tron Florentin},
journal={The American Mathematical Monthly},
year={2019},
volume={126},
pages={70 - 73}
}```
• Published 2 January 2019
• Mathematics
• The American Mathematical Monthly
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.
3 Citations
Unconditional Prime-Representing Functions, Following Mills
Mills proved that there exists a real constant A such that for all the values are prime numbers, and gives a first unconditional variant: is prime, where can be computed to millions of digits.
On irrational values of the error function and gamma function
Irrational numbers are real numbers that cannot be constructed from ratios of integers. Among the set of irrational numbers, two famous constants are e and π. Lambert was the first mathematician that
A Couple of Transcendental Prime-Representing Constants
• J. L. Varona
• Mathematics
The American Mathematical Monthly
• 2021
Abstract It is well known that the arithmetic nature of Mills’ prime-representing constant is uncertain: we do not know if Mills’ constant is a rational or irrational number. In the case of other

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