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arxiv: 1706.09246 · v3 · pith:QRHHE5FUnew · submitted 2017-06-28 · 🧮 math.NT

The Frobenius problem for four numerical semigroups

classification 🧮 math.NT
keywords frobeniusnumbernumericalproblemsemigroupsbasethabitcalled
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The greatest integer that does not belong to a numerical semigroup $S$ is called the Frobenius number of $S$ and finding the Frobenius number is called the Frobenius problem. In this paper, we introduce the Frobenius problem for numerical semigroups generated by Thabit number base b and Thabit number of the second kind base b which are motivated by the Frobenius problem for Thabit numerical semigroups. Also, we introduce the Frobenius problem for numerical semigroups generated by Cunningham number and Fermat number base $b$

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