Fermat's theorem on sums of polygonal numbers
GPTKB entity
Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Fermat_polygonal_number_theorem
|
| gptkbp:field |
number theory
|
| gptkbp:formedBy |
gptkb:Pierre_de_Fermat
|
| gptkbp:generalizes |
gptkb:Lagrange's_four-square_theorem
gptkb:Gauss's_Eureka_theorem |
| https://www.w3.org/2000/01/rdf-schema#label |
Fermat's theorem on sums of polygonal numbers
|
| gptkbp:implies |
every positive integer is a sum of three triangular numbers
every positive integer is a sum of four squares every positive integer is a sum of five pentagonal numbers every positive integer is a sum of six hexagonal numbers |
| gptkbp:provenBy |
gptkb:Augustin-Louis_Cauchy
|
| gptkbp:relatedTo |
polygonal number
|
| gptkbp:state |
every positive integer is a sum of at most n n-gonal numbers
|
| gptkbp:yearProved |
1813
|
| gptkbp:bfsParent |
gptkb:Fermat's_polygonal_number_theorem
|
| gptkbp:bfsLayer |
7
|