Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Euclid's_infinitude_of_primes_theorem
|
| gptkbp:category |
theorems about prime numbers
|
| gptkbp:dateOfProof |
circa 300 BCE
|
| gptkbp:field |
number theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
Euclid's theorem
|
| gptkbp:influenced |
gptkb:prime_number_theorem
modern number theory |
| gptkbp:proofPublishedInBook |
gptkb:Book_IX
|
| gptkbp:provenBy |
gptkb:Euclid
proof by contradiction |
| gptkbp:publishedIn |
gptkb:Elements
|
| gptkbp:relatedTo |
gptkb:Dirichlet's_theorem_on_arithmetic_progressions
gptkb:Bertrand's_postulate gptkb:Erdős's_proof_of_infinitude_of_primes |
| gptkbp:state |
There are infinitely many prime numbers.
|
| gptkbp:bfsParent |
gptkb:Number_theory
|
| gptkbp:bfsLayer |
5
|