Statements (23)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:mathematical_concept
|
gptkbp:alternativeTo |
a^p ≡ a (mod p) for any integer a and prime p
|
gptkbp:appliesTo |
modular arithmetic
prime numbers |
gptkbp:category |
elementary number theory
|
gptkbp:field |
number theory
|
gptkbp:firstStated |
1640
|
gptkbp:generalizes |
gptkb:Euler's_theorem
|
https://www.w3.org/2000/01/rdf-schema#label |
Fermat's little theorem
|
gptkbp:influenced |
gptkb:RSA_algorithm
Carmichael numbers |
gptkbp:language |
gptkb:mathematics
|
gptkbp:namedAfter |
gptkb:Pierre_de_Fermat
|
gptkbp:provenBy |
gptkb:Leonhard_Euler
|
gptkbp:publishedIn |
gptkb:Fermat's_correspondence
|
gptkbp:relatedTo |
gptkb:Wilson's_theorem
gptkb:Euler's_theorem gptkb:Fermat's_Last_Theorem |
gptkbp:state |
If p is a prime and a is an integer not divisible by p, then a^(p-1) ≡ 1 (mod p)
|
gptkbp:usedIn |
cryptography
primality testing |
gptkbp:bfsParent |
gptkb:Euler's_theorem
|
gptkbp:bfsLayer |
6
|