Statements (27)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Pisano_number
|
| gptkbp:appliesTo |
gptkb:Fibonacci_sequence
|
| gptkbp:describes |
periodicity of Fibonacci numbers modulo n
|
| gptkbp:hasProperty |
π(1) = 1
π(10) = 60 π(2) = 3 π(3) = 8 π(4) = 6 π(5) = 20 π(6) = 24 π(7) = 16 π(8) = 12 π(9) = 24 |
| gptkbp:heldBy |
the period with which the sequence of Fibonacci numbers taken modulo n repeats
|
| https://www.w3.org/2000/01/rdf-schema#label |
Pisano period
|
| gptkbp:isAlways |
finite for any positive integer n
|
| gptkbp:namedAfter |
gptkb:Leonardo_Pisano
|
| gptkbp:notation |
π(n)
|
| gptkbp:relatedTo |
gptkb:Fibonacci_sequence
modulo operation |
| gptkbp:sequenceListedIn |
gptkb:OEIS_A001175
|
| gptkbp:studiedBy |
gptkb:Leonardo_of_Pisa
|
| gptkbp:usedIn |
number theory
modular arithmetic |
| gptkbp:bfsParent |
gptkb:Fibonacci_sequence
|
| gptkbp:bfsLayer |
6
|