Fermat's polygonal number theorem
GPTKB entity
Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Fermat's_theorem_on_sums_of_polygonal_numbers
|
| gptkbp:field |
number theory
|
| gptkbp:generalizes |
every number is a sum of five pentagonal numbers
every number is a sum of four squares every number is a sum of six hexagonal numbers every number is a sum of three triangular numbers |
| gptkbp:hasSpecialCase |
gptkb:Lagrange's_four-square_theorem
|
| https://www.w3.org/2000/01/rdf-schema#label |
Fermat's polygonal number theorem
|
| gptkbp:proposedBy |
gptkb:Pierre_de_Fermat
|
| gptkbp:provenBy |
gptkb:Augustin-Louis_Cauchy
|
| gptkbp:relatedTo |
gptkb:Waring's_problem
Polygonal number |
| gptkbp:state |
Every positive integer is a sum of at most n n-gonal numbers for each n ≥ 3.
|
| gptkbp:yearProposed |
1638
|
| gptkbp:yearProved |
1813
|
| gptkbp:bfsParent |
gptkb:Lagrange's_four-square_theorem
|
| gptkbp:bfsLayer |
6
|