#import "@local/dtu-template:0.5.1":*


#show: dtu-note.with(
  course: "01017",
  course-name: "Discrete Mathematics",
  title: "Primes and the Eucledian algorithm",
  date: datetime(day: 27, month: 11, year: 2025),
  author: "Rasmus Rosendahl-Kaa (S255955)",
  semester: "2025 Fall",
)

= Primes
#definition()[
$
a,b,c in ZZ, a in ZZ_+
$
If $a = b dot c$ then $a$ is _composite_ (sammensat), if not, then $a$ is a prime,

]