Statements (27)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:application |
gptkb:recreational_mathematics
gptkb:algebra computer science cryptography right triangles |
| gptkbp:canBeNonPrimitive |
true
|
| gptkbp:canBePrimitive |
true
|
| gptkbp:consistsOf |
three positive integers
|
| gptkbp:example |
(3, 4, 5)
(5, 12, 13) (8, 15, 17) |
| gptkbp:generation |
gptkb:Euclid's_formula
|
| gptkbp:property |
a, b, c are coprime in primitive triples
c is always the largest integer gcd(a, b, c) = 1 for primitive triples infinitely many exist |
| gptkbp:relatedTo |
gptkb:Pythagorean_theorem
|
| gptkbp:satisfyEquation |
a^2 + b^2 = c^2
|
| gptkbp:studiedBy |
gptkb:Euclid
gptkb:Pythagoras gptkb:Diophantus |
| gptkbp:usedIn |
gptkb:geometry
number theory |
| gptkbp:bfsParent |
gptkb:Pythagoras
|
| gptkbp:bfsLayer |
5
|
| https://www.w3.org/2000/01/rdf-schema#label |
Pythagorean triples
|