Statements (53)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:theorem
|
| gptkbp:applies_to |
number theory
|
| gptkbp:discovered_by |
gptkb:Terence_Tao
gptkb:Ben_Green |
| gptkbp:has_applications_in |
gptkb:crypt
theoretical computer science mathematical logic |
| gptkbp:has_implications_for |
distribution of prime numbers
|
| https://www.w3.org/2000/01/rdf-schema#label |
Green-Tao theorem
|
| gptkbp:influences |
further research in prime number theory
|
| gptkbp:is_analyzed_in |
research papers
dissertations |
| gptkbp:is_cited_in |
gptkb:academic_journals
many mathematical papers |
| gptkbp:is_considered |
a significant result in mathematics
a major achievement in mathematics a landmark result a breakthrough in prime number research a cornerstone of additive combinatorics |
| gptkbp:is_debated_in |
infinitely many arithmetic progressions of prime numbers
|
| gptkbp:is_described_as |
various mathematical textbooks
|
| gptkbp:is_discussed_in |
mathematical literature
mathematical blogs conferences on number theory |
| gptkbp:is_explored_in |
mathematical seminars
online mathematical forums |
| gptkbp:is_influenced_by |
previous work on primes
|
| gptkbp:is_part_of |
modern number theory
theoretical mathematics additive combinatorics the study of prime gaps |
| gptkbp:is_recognized_by |
mathematical community
|
| gptkbp:is_related_to |
gptkb:Riemann_hypothesis
gptkb:sieve_theory gptkb:Goldbach's_conjecture combinatorial number theory Hilbert's tenth problem Erdős– Turán conjecture Fermat's last theorem Zsigmondy's theorem |
| gptkbp:is_standardized_by |
Dirichlet's theorem on arithmetic progressions
|
| gptkbp:is_studied_in |
advanced mathematics courses
|
| gptkbp:is_used_in |
mathematical proofs
mathematical competitions |
| gptkbp:named_after |
gptkb:Terence_Tao
gptkb:Ben_Green |
| gptkbp:published_in |
gptkb:2008
|
| gptkbp:related_to |
gptkb:arithmetic_progressions
prime numbers |
| gptkbp:uses |
analytic number theory
combinatorial techniques |
| gptkbp:bfsParent |
gptkb:Ben_Green
|
| gptkbp:bfsLayer |
6
|