English

Monotone Boolean functions capture their primes

Number Theory 2012-11-30 v1

Abstract

It is shown that monotone Boolean functions on the Boolean cube capture the expected number of primes, under he usual identification by binary expansion. This answers a question posed by G.Kalai.

Keywords

Cite

@article{arxiv.1211.6760,
  title  = {Monotone Boolean functions capture their primes},
  author = {Jean Bourgain},
  journal= {arXiv preprint arXiv:1211.6760},
  year   = {2012}
}
R2 v1 2026-06-21T22:45:48.292Z