Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
natural numbers
|
| gptkbp:author |
gptkb:Paul_Erdős
gptkb:Mark_Kac |
| gptkbp:describes |
distribution of number of distinct prime factors of integers
|
| gptkbp:field |
number theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
Erdős–Kac theorem
|
| gptkbp:namedAfter |
gptkb:Paul_Erdős
gptkb:Mark_Kac |
| gptkbp:publishedIn |
gptkb:Bulletin_of_the_American_Mathematical_Society
|
| gptkbp:relatedTo |
gptkb:central_limit_theorem
probabilistic number theory |
| gptkbp:result |
the number of distinct prime divisors of a random integer n is normally distributed with mean and variance log log n
|
| gptkbp:state |
the number of distinct prime factors of a random integer behaves like a normal distribution
|
| gptkbp:yearProposed |
1940
|
| gptkbp:bfsParent |
gptkb:Paul_Erdős
|
| gptkbp:bfsLayer |
4
|