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# The Frobenius problem for Thabit numerical semigroups base b

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### Abstract

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 a Thabit numerical semigroup base $$b$$, which is motivated by the Frobenius problem for Thabit numerical semigroups.

### Most cited references12

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### Complexity of the Frobenius problem

(1996)
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### An optimal lower bound for the Frobenius problem

(2007)
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### Numerical Semigroups with Apery Sets of Unique Expression

(2000)
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### Author and article information

###### Journal
2017-06-28
###### Article
1706.09246