English

A variant of the Euclid-Mullin sequence containing every prime

Number Theory 2016-07-07 v1

Abstract

We consider a generalization of Euclid's proof of the infinitude of primes and show that it leads to variants of the Euclid-Mullin sequence that provably contain every prime number.

Keywords

Cite

@article{arxiv.1605.08929,
  title  = {A variant of the Euclid-Mullin sequence containing every prime},
  author = {Andrew R. Booker},
  journal= {arXiv preprint arXiv:1605.08929},
  year   = {2016}
}

Comments

5 pages, submitted