Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:field |
gptkb:mathematics
number theory |
| gptkbp:generalizes |
gptkb:Szemerédi's_theorem_for_primes
|
| https://www.w3.org/2000/01/rdf-schema#label |
Green–Tao theorem
|
| gptkbp:impact |
Solved a long-standing open problem in number theory
|
| gptkbp:namedAfter |
gptkb:Terence_Tao
gptkb:Ben_Green |
| gptkbp:provenBy |
ergodic theory
combinatorial methods transference principle |
| gptkbp:publishedIn |
gptkb:Annals_of_Mathematics
|
| gptkbp:relatedTo |
gptkb:Prime_Number
gptkb:Szemerédi's_theorem arithmetic progression additive combinatorics |
| gptkbp:sentence |
The sequence of prime numbers contains arbitrarily long arithmetic progressions.
|
| gptkbp:statedIn |
gptkb:Terence_Tao
gptkb:Ben_Green |
| gptkbp:yearProved |
2004
|
| gptkbp:bfsParent |
gptkb:Terence_Tao
|
| gptkbp:bfsLayer |
4
|