English

Maximal product of primes whose sum is bounded

Number Theory 2012-07-04 v1

Abstract

If n is a positive integer, let h(n) denote the maximal value of the product of distinct primes whose sum does not exceed n. We give some properties of this function h and describe an algorithm able to compute h(n) for large values of n.

Keywords

Cite

@article{arxiv.1207.0603,
  title  = {Maximal product of primes whose sum is bounded},
  author = {Marc Deléglise and Jean-Louis Nicolas},
  journal= {arXiv preprint arXiv:1207.0603},
  year   = {2012}
}
R2 v1 2026-06-21T21:29:35.486Z