Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
Legendre's three-square theorem
|
| gptkbp:appliesTo |
natural numbers
|
| gptkbp:field |
number theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
three-square theorem
|
| gptkbp:implies |
Some numbers cannot be written as the sum of three squares.
|
| gptkbp:namedAfter |
gptkb:Adrien-Marie_Legendre
|
| gptkbp:relatedTo |
gptkb:Lagrange's_four-square_theorem
sum of squares function |
| gptkbp:state |
A natural number n can be represented as the sum of three squares of integers if and only if n is not of the form 4^a(8b+7) for nonnegative integers a and b.
|
| gptkbp:yearProved |
1798
|
| gptkbp:bfsParent |
gptkb:four-square_theorem
|
| gptkbp:bfsLayer |
7
|