Fermat's theorem on the sum of two forty-ninth powers
GPTKB entity
Statements (70)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:theorem
|
| gptkbp:bfsLayer |
5
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| gptkbp:bfsParent |
gptkb:Fermat
|
| gptkbp:applies_to |
natural numbers.
|
| gptkbp:challenges |
to prove.
for mathematicians. to apply. to understand. |
| gptkbp:connects |
modular forms.
|
| gptkbp:created_by |
gptkb:Andrew_Wiles
|
| gptkbp:field |
number theory
|
| gptkbp:has_impact_on |
Implications for elliptic curves.
|
| gptkbp:has_programs |
cryptography.
|
| gptkbp:historical_debate |
gptkb:1994
|
| https://www.w3.org/2000/01/rdf-schema#label |
Fermat's theorem on the sum of two forty-ninth powers
|
| gptkbp:inspired |
Further research in Diophantine equations.
|
| gptkbp:is |
a conjecture.
|
| gptkbp:is_a |
theorem in mathematics.
|
| gptkbp:is_analyzed_in |
academic journals.
academic discussions. research studies. mathematical critiques. |
| gptkbp:is_cited_in |
research papers.
textbooks. scholarly articles. numerous mathematical works. |
| gptkbp:is_considered |
a fundamental theorem.
a significant theorem. a classic result. a landmark result. a pivotal theorem. a special case of Fermat's Last Theorem. |
| gptkbp:is_discussed_in |
academic papers.
mathematical literature. academic circles. mathematical forums. mathematical conferences. |
| gptkbp:is_explored_in |
mathematical literature.
mathematical research. mathematical theory. mathematicians. graduate studies. |
| gptkbp:is_influential_in |
modern number theory.
|
| gptkbp:is_noted_for |
its complexity.
|
| gptkbp:is_part_of |
the history of mathematics.
the study of number theory. the legacy of Pierre de Fermat. Fermat's conjectures. the history of Fermat's work. the legacy of number theory. |
| gptkbp:is_related_to |
the exploration of mathematical proofs.
the study of prime numbers. the study of integer solutions. the theory of equations. the field of algebra. Fermat's theorem on sums of two cubes. |
| gptkbp:is_standardized_by |
Fermat's Last Theorem for n=49.
|
| gptkbp:is_studied_in |
higher education.
theoretical mathematics. advanced mathematics courses. algebraic geometry. |
| gptkbp:issues |
49th powers
|
| gptkbp:notable_for |
its historical significance.
its historical context. its implications in mathematics. its mathematical depth. |
| gptkbp:part_of |
Fermat's Last Theorem family.
|
| gptkbp:proposed_by |
gptkb:Pierre_de_Fermat
|
| gptkbp:related_to |
gptkb:Fermat's_Last_Theorem
|
| gptkbp:state |
There are no three positive integers a, b, and c that satisfy a^49 + b^49 = c^49.
|