The maximum of the complementary of a semigroup with restricted conditions

Antonio Linero-Bas, Daniel Nieves-Roldán

We consider the set $$\mathcal{A}=\left\{10\cdot a+11\cdot b|\gcd (a,b)=1,a\ge 1,b\ge 2a+1\right\}.$$ We will prove that $\mathcal{A}$ is unbounded and that there exist…