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arXiv · 2004.10273

Primes in numerical semigroups

Jorge L. Ramirez Alfonsin·Mariusz Skalba
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Abstract

Let 0 < a < b be two relatively prime integers and let be the numerical semigroup generated by a and b with Frobenius number g(a,b)=ab-a-b. In this note, we prove that there exists a prime number p in with p < g(a,b) when the product ab is sufficiently large. Two related conjectures are posed and discussed as well.

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Jorge L. Ramirez Alfonsin, Mariusz Skalba. 2020-04-21. Primes in numerical semigroups. https://arxiv.org/abs/2004.10273

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