Branco, M. B.Faria, Manuel CaldasRosales, José Carlos2020-07-292020-07-292020-07-13BRANCO, M. B.; FARIA, Manuel Caldas; ROSALES, J. C. – Positioned numerical semigroups. Quaestiones Mathematicae. ISSN 1727-933X. Vol. 44, N.º 5 (2020), pp. 679-6911727-933X1607-3606http://hdl.handle.net/10400.21/12111A numerical semigroup S is positioned if for all s ∈ N\S we have that F(S) + m(S) − s ∈ S. In this paper, we give algorithms to compute the set of positioned semigroups and a criterium to check whether S is or not is positioned. Furthermore, we prove the Wilf’s conjecture for this type of numerical semigroups.engNumerical semigroupsPositioned numerical semigroupsTreeFrobenius numberMultiplicityGenusWilf’s conjecturejournal article10.2989/16073606.2020.1742245