English

A Frobenius problem suggested by prime $k$-tuplets (extended version)

Number Theory 2023-05-29 v3 Combinatorics

Abstract

We study the Frobenius problem for certain k-tuplets, which include prime k-tuplets, in particular prime triplets and prime quadruplets. Moreover, we analyze some properties of the numerical semigroups associated with these tuplets.

Keywords

Cite

@article{arxiv.2112.05501,
  title  = {A Frobenius problem suggested by prime $k$-tuplets (extended version)},
  author = {Aureliano M. Robles-Pérez and José Carlos Rosales},
  journal= {arXiv preprint arXiv:2112.05501},
  year   = {2023}
}

Comments

45 pages; added a section with new cases; typos corrected

R2 v1 2026-06-24T08:12:11.089Z