Euclid's theorem on the infinitude of primes
GPTKB entity
Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:category |
theorems about prime numbers
|
| gptkbp:dateOfProof |
circa 300 BCE
|
| 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 |
| gptkbp:hasAlternativeProof |
Euler's proof using harmonic series
|
| https://www.w3.org/2000/01/rdf-schema#label |
Euclid's theorem on the infinitude of primes
|
| gptkbp:influenced |
number theory
|
| gptkbp:provenBy |
gptkb:Euclid
proof by contradiction |
| gptkbp:publishedIn |
gptkb:Elements
gptkb:Book_IX_of_Elements |
| gptkbp:relatedTo |
gptkb:Euclid's_Elements
gptkb:Prime_Number |
| gptkbp:state |
There are infinitely many prime numbers
|
| gptkbp:bfsParent |
gptkb:Dirichlet's_theorem_on_arithmetic_progressions
|
| gptkbp:bfsLayer |
5
|