Euclid's proof of the infinitude of primes
GPTKB entity
Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematics
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| gptkbp:appearsIn |
gptkb:Book_IX
gptkb:Elements |
| gptkbp:appearsInProposition |
gptkb:Proposition_20
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| gptkbp:author |
gptkb:Euclid
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| gptkbp:citation |
many mathematical texts
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| gptkbp:date |
circa 300 BCE
|
| gptkbp:field |
number theory
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| gptkbp:hasConcept |
if finitely many primes, their product plus one is not divisible by any of them
|
| gptkbp:influenced |
modern number theory
subsequent proofs of infinitude of primes |
| gptkbp:language |
gptkb:Ancient_Greek
|
| gptkbp:method |
proof by contradiction
|
| gptkbp:provenBy |
there are infinitely many prime numbers
|
| gptkbp:status |
classical proof
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| gptkbp:bfsParent |
gptkb:Book_Iota
gptkb:Furstenberg's_proof_of_the_infinitude_of_primes |
| gptkbp:bfsLayer |
7
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| https://www.w3.org/2000/01/rdf-schema#label |
Euclid's proof of the infinitude of primes
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