English

Algorithms for numerical semigroups with fixed maximum primitive

Combinatorics 2026-01-01 v1

Abstract

We present an algorithm to explore various properties of the numerical semigroups with a given maximum primitive. In particular, we count the number of such numerical semigroups and verify that there is no counterexample to Wilf's conjecture among the numerical semigroups with maximum primitive up to 6060.

Keywords

Cite

@article{arxiv.2512.23891,
  title  = {Algorithms for numerical semigroups with fixed maximum primitive},
  author = {Manuel Delgado and Neeraj Kumar},
  journal= {arXiv preprint arXiv:2512.23891},
  year   = {2026}
}
R2 v1 2026-07-01T08:45:09.058Z