The Frobenius Problem for the Proth Numbers

Pranjal Srivastava, Dhara Thakkar

Let $n$ be a positive integer greater than $2$. We define \textit{the Proth numerical semigroup}, $P_k(n)$, generated by $\{k{2}^{n+i}+1\mid i\in \mathbb{N}\}$, where $k$ is…