Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Fermat's_theorem_on_sums_of_two_squares
|
| gptkbp:appliesTo |
prime numbers
|
| gptkbp:describes |
representation of primes as sum of two squares
|
| gptkbp:field |
number theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
two-square theorem
|
| gptkbp:influenced |
additive number theory
|
| gptkbp:influencedBy |
gptkb:Diophantus
|
| gptkbp:provenBy |
gptkb:Leonhard_Euler
|
| gptkbp:publishedIn |
Correspondence of Pierre de Fermat
|
| gptkbp:relatedTo |
gptkb:Lagrange's_four-square_theorem
gptkb:Brahmagupta–Fibonacci_identity sum of squares function |
| gptkbp:sentence |
An odd prime p can be written as the sum of two squares if and only if p ≡ 1 mod 4.
|
| gptkbp:statedIn |
gptkb:Pierre_de_Fermat
|
| gptkbp:yearStated |
1640s
|
| gptkbp:bfsParent |
gptkb:four-square_theorem
|
| gptkbp:bfsLayer |
7
|