Statements (30)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
integer sequence
|
| gptkbp:definedIn |
solutions to the Markov equation x^2 + y^2 + z^2 = 3xyz
|
| gptkbp:first_terms |
2
1 13 29 34 5 169 194 89 |
| https://www.w3.org/2000/01/rdf-schema#label |
Markov numbers
|
| gptkbp:namedAfter |
gptkb:Andrey_Markov
|
| gptkbp:OEIS |
A002559
|
| gptkbp:property |
used in the study of approximation of real numbers by rationals
all are positive integers appear in Markov triples each appears in at least one Markov triple grow rapidly no known closed formula related to Diophantine equations related to continued fractions related to hyperbolic geometry related to quadratic forms conjectured to be unique in each Markov triple for largest value (Markov uniqueness conjecture) |
| gptkbp:relatedTo |
Markov equation
|
| gptkbp:sequence |
infinite
|
| gptkbp:studiedIn |
number theory
|
| gptkbp:bfsParent |
gptkb:Hurwitz's_theorem_(number_theory)
|
| gptkbp:bfsLayer |
8
|