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}
}
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. 
Unconditional Prime-Representing Functions, Following Mills
TLDR
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

References

SHOWING 1-9 OF 9 REFERENCES
Bertrand's postulate and subgroup growth
Prime Numbers: A Computational Perspective
Prime numbers beckon to the beginner, the basic notion of primality being accessible to a child. Yet, some of the simplest questions about primes have stumped humankind for millennia. In this book,
Geodesics with one self-intersection, and other stories
The On-Line Encyclopedia of Integer Sequences
  • N. Sloane
  • Computer Science
    Electron. J. Comb.
  • 1994
TLDR
The On-Line Encyclopedia of Integer Sequences (or OEIS) is a database of some 130000 number sequences which serves as a dictionary, to tell the user what is known about a particular sequence and is widely used.
Inc.
I introduce here a body of English and American Puritan literature dating to the period 1560–1730 that describes godly living as art work. In particular, I consider the connection of this discourse
A prime-representing function
Prime Numbers: A Computional Perspective
  • 2005
Prime Numbers: A Computional Perspective. New York: SpringerVerlag
  • 2005