Dirichlet's theorem on the existence of primes
GPTKB entity
Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:theorem
|
| gptkbp:applies_to |
gptkb:arithmetic_progressions
|
| https://www.w3.org/2000/01/rdf-schema#label |
Dirichlet's theorem on the existence of primes
|
| gptkbp:is_debated_in |
infinitely many primes in arithmetic progressions
|
| gptkbp:is_fundamental_to |
number theory
|
| gptkbp:is_related_to |
gptkb:Dirichlet_characters
|
| gptkbp:is_significant_for |
generalizing the distribution of primes
|
| gptkbp:named_after |
gptkb:Peter_Gustav_Lejeune_Dirichlet
|
| gptkbp:requires |
coprime integers
|
| gptkbp:state |
for any two coprime integers a and d, there are infinitely many primes of the form a + nd
|
| gptkbp:was_proven_in |
1837
|
| gptkbp:bfsParent |
gptkb:Peter_Gustav_Lejeune_Dirichlet
|
| gptkbp:bfsLayer |
7
|