Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Prime_Number
|
| gptkbp:defines |
A prime of the form floor(n^c) for some integer n and fixed real c > 1, c not integer
|
| gptkbp:example |
11 (for n=4, c=1.5)
2 (for n=2, c=1.5) 5 (for n=3, c=1.5) |
| gptkbp:field |
number theory
|
| gptkbp:hasConjecture |
There are infinitely many Piatetski-Shapiro primes for 1 < c < 12/11
|
| https://www.w3.org/2000/01/rdf-schema#label |
Piatetski-Shapiro prime
|
| gptkbp:namedAfter |
gptkb:Ilya_Piatetski-Shapiro
|
| gptkbp:notation |
floor(n^c)
|
| gptkbp:parameterCondition |
c > 1, c not integer
|
| gptkbp:relatedTo |
distribution of primes
|
| gptkbp:sequence |
sparse prime sequence
|
| gptkbp:studiedBy |
gptkb:Ilya_Piatetski-Shapiro
|
| gptkbp:studiedIn |
analytic number theory
|
| gptkbp:bfsParent |
gptkb:Ilya_Piatetski-Shapiro
|
| gptkbp:bfsLayer |
5
|