  Let 0 < a < b be two relatively prime integers and let <a,b> 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 <a,b> with p < g(a,b) when
the product ab is sufficiently large. Two related conjectures are posed and
discussed as well.
