Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:complement |
Numbers divisible by a square greater than 1
|
| gptkbp:defines |
An integer not divisible by any perfect square greater than 1
|
| gptkbp:density |
6/π²
|
| gptkbp:field |
gptkb:Number_theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
Squarefree numbers
|
| gptkbp:OEIS |
gptkb:A005117
|
| gptkbp:property |
The Möbius function μ(n) is nonzero if and only if n is squarefree
The number of squarefree numbers less than n is asymptotic to 6n/π² Every prime number is squarefree The product of distinct primes is squarefree No prime factor occurs more than once in its prime factorization |
| gptkbp:relatedTo |
gptkb:Möbius_function
Prime numbers Square numbers Radical of an integer |
| gptkbp:sequence |
1, 2, 3, 5, 6, 7, 10, 11, 13, 14, ...
|
| gptkbp:usedIn |
gptkb:Algebraic_number_theory
Cryptography Combinatorics |
| gptkbp:bfsParent |
gptkb:A005117
|
| gptkbp:bfsLayer |
8
|