Euclid's infinitude of primes theorem
GPTKB entity
Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alternativeName |
gptkb:Euclid's_theorem
|
| gptkbp:category |
elementary number theory
theorems about prime numbers |
| gptkbp:field |
number theory
|
| gptkbp:generalizes |
gptkb:Dirichlet's_theorem_on_arithmetic_progressions
gptkb:Erdős's_proof_of_infinitude_of_primes gptkb:Green–Tao_theorem |
| https://www.w3.org/2000/01/rdf-schema#label |
Euclid's infinitude of primes theorem
|
| gptkbp:influenced |
modern number theory
|
| gptkbp:proofPublishedInBook |
gptkb:Book_IX
|
| gptkbp:provenBy |
gptkb:Euclid
proof by contradiction |
| gptkbp:publishedIn |
gptkb:Elements
|
| gptkbp:relatedConcept |
gptkb:Prime_Number
gptkb:fundamental_theorem_of_arithmetic |
| gptkbp:state |
there are infinitely many prime numbers
|
| gptkbp:yearProved |
circa 300 BC
|
| gptkbp:bfsParent |
gptkb:Euclid's_theorem
|
| gptkbp:bfsLayer |
6
|