Primes in numerical semigroups
Let $0 be two relatively prime integers and let $\langle a,b\rangle $ 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 \langle a,b\rangle $ with $p when the product $ab$ is sufficiently large. Two...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Académie des sciences
2021-01-01
|
| Series: | Comptes Rendus. Mathématique |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.104/ |