论文标题
数值半群中的素数
Primes in numerical semigroups
论文作者
论文摘要
令0 <a <b为两个相对质数的整数，让<a，b>为由a和b产生的数值半群，frobenius number g（a，b）= ab-a-b。在本说明中，我们证明当产品AB足够大时，<a，b>中存在一个质量p。也提出和讨论了两个相关的猜想。
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.
