Primes of the Form x^2 + ny^2
GPTKB entity
Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:application |
algebraic number theory
class number theory representation of primes |
| gptkbp:citation |
gptkb:Cox,_Primes_of_the_Form_x^2_+_ny^2_(book)
|
| gptkbp:criteria |
depends on n and congruence conditions
|
| gptkbp:example |
p = x^2 + 2y^2
p = x^2 + 3y^2 p = x^2 + 5y^2 |
| gptkbp:field |
number theory
|
| gptkbp:hasSpecialCase |
gptkb:Fermat's_theorem_on_sums_of_two_squares
|
| https://www.w3.org/2000/01/rdf-schema#label |
Primes of the Form x^2 + ny^2
|
| gptkbp:notation |
p = x^2 + n y^2
|
| gptkbp:relatedTo |
quadratic forms
class field theory prime numbers binary quadratic forms |
| gptkbp:studiedBy |
gptkb:Euler
gptkb:Fermat gptkb:Gauss |
| gptkbp:bfsParent |
gptkb:David_A._Cox
|
| gptkbp:bfsLayer |
5
|