Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
prime numbers greater than 3
|
| gptkbp:concerns |
binomial coefficients
prime numbers |
| gptkbp:field |
number theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
Wolstenholme's theorem
|
| gptkbp:namedAfter |
gptkb:Joseph_Wolstenholme
|
| gptkbp:relatedTo |
congruence relations
harmonic numbers |
| gptkbp:sentence |
For any prime p > 3, the binomial coefficient (2p-1 choose p-1) is congruent to 1 modulo p^3.
|
| gptkbp:yearProved |
1862
|
| gptkbp:bfsParent |
gptkb:Joseph_Wolstenholme
|
| gptkbp:bfsLayer |
8
|