Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Lagrange's_four-square_theorem
|
| gptkbp:appliesTo |
natural numbers
|
| gptkbp:category |
theorems in number theory
|
| gptkbp:example |
23 = 16 + 4 + 1 + 1
7 = 4 + 1 + 1 + 1 |
| gptkbp:field |
number theory
|
| gptkbp:generalizes |
gptkb:three-square_theorem
gptkb:two-square_theorem |
| https://www.w3.org/2000/01/rdf-schema#label |
four-square theorem
|
| gptkbp:influenced |
additive number theory
|
| gptkbp:provenBy |
gptkb:Joseph-Louis_Lagrange
|
| gptkbp:relatedTo |
gptkb:Fermat's_polygonal_number_theorem
gptkb:Waring's_problem sum of squares function |
| gptkbp:sentence |
Every natural number can be represented as the sum of four integer squares.
|
| gptkbp:statedIn |
gptkb:Joseph-Louis_Lagrange
|
| gptkbp:yearProposed |
1770
|
| gptkbp:bfsParent |
gptkb:Lagrange's_theorem_(number_theory)
|
| gptkbp:bfsLayer |
6
|