Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:category |
gptkb:prime_number_theorem
additive combinatorics |
| gptkbp:field |
gptkb:combinatorics
number theory |
| gptkbp:influencedBy |
gptkb:Szemerédi's_theorem
|
| gptkbp:notableFor |
first proof that primes contain arbitrarily long arithmetic progressions
|
| gptkbp:provenBy |
gptkb:Terence_Tao
gptkb:Ben_Green |
| gptkbp:publishedIn |
gptkb:Annals_of_Mathematics
|
| gptkbp:relatedTo |
gptkb:Szemerédi's_theorem
arithmetic progression primes |
| gptkbp:state |
The sequence of prime numbers contains arbitrarily long arithmetic progressions.
|
| gptkbp:yearProved |
2004
|
| gptkbp:bfsParent |
gptkb:Number_Theory
|
| gptkbp:bfsLayer |
7
|
| https://www.w3.org/2000/01/rdf-schema#label |
Green-Tao Theorem
|