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Numerical semigroups generated by primes

URN to cite this document:
urn:nbn:de:bvb:355-epub-451982
DOI to cite this document:
10.5283/epub.45198
Hellus, Michael ; Rechenauer, Anton ; Waldi, Rolf
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Date of publication of this fulltext: 18 Mar 2021 06:28


Abstract

Let p(1) = 2, p(2) = 3, p(3) = 5,. be the consecutive prime numbers, S-n the numerical semigroup generated by the primes not less than p(n) and u(n) the largest irredundant generator of S-n. We will show, that u(n) similar to 3p(n). Similarly, for the largest integer f(n) not contained in S-n, by computational evidence (https://www.uni-regensburg.de/Fakul taeten/nat_Fak_I/Hellus/table 1.pdf) we ...

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