Fermat's theorem on the sum of two cubes
GPTKB entity
Statements (74)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:theorem
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| gptkbp:bfsLayer |
5
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| gptkbp:bfsParent |
gptkb:Fermat
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| gptkbp:associated_with |
Fermat's principle.
|
| gptkbp:connects |
the field of algebraic geometry.
|
| gptkbp:contributed_to |
the study of rational points on curves.
|
| gptkbp:examines |
number theory textbooks.
|
| gptkbp:field |
number theory
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| gptkbp:first_published |
Fermat's correspondence with mathematicians
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| gptkbp:has_impact_on |
contributes to the understanding of Diophantine equations.
|
| gptkbp:has_influence_on |
many mathematical proofs.
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| gptkbp:has_programs |
cryptography.
|
| gptkbp:historical_context |
discussed in the context of 17th-century mathematics.
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| gptkbp:historical_significance |
in the history of mathematics.
|
| https://www.w3.org/2000/01/rdf-schema#label |
Fermat's theorem on the sum of two cubes
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| gptkbp:impact |
in the field of algebraic number theory.
|
| gptkbp:influenced |
the development of modern algebra.
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| gptkbp:influenced_by |
the work of Diophantus.
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| gptkbp:is_cited_in |
research papers.
academic journals. research articles. academic theses. mathematical encyclopedias. |
| gptkbp:is_considered |
a fundamental theorem.
a significant result in mathematics. a pivotal theorem in mathematics. a challenge for amateur mathematicians. a classic example in number theory. a classic problem in mathematics. |
| gptkbp:is_discussed_in |
mathematical communities.
mathematical discussions. various mathematical journals. mathematical blogs. mathematical podcasts. mathematical conferences. |
| gptkbp:is_explored_in |
mathematical literature.
mathematical research. mathematical seminars. mathematical workshops. mathematical studies. online mathematics forums. modern mathematicians. |
| gptkbp:is_part_of |
the exploration of mathematical proofs.
the history of number theory. the legacy of Pierre de Fermat. the study of integer solutions. the broader study of Fermat's theorems. the curriculum in advanced mathematics courses. the study of mathematical theorems. |
| gptkbp:is_referenced_in |
mathematical literature.
|
| gptkbp:is_related_to |
the study of algebraic structures.
the study of algebraic equations. the study of prime numbers. the exploration of integer solutions. the study of rational numbers. the concept of modular arithmetic. |
| gptkbp:is_studied_in |
research mathematicians.
students of mathematics. mathematics enthusiasts. scholars in mathematics. students in mathematics. |
| gptkbp:notable_for |
its historical context.
its implications in number theory. its simplicity and depth. its contribution to mathematical thought. its role in mathematical conjectures. |
| gptkbp:notable_work |
It is a special case of Fermat's Last Theorem for n=3.
|
| gptkbp:proposed_by |
gptkb:Pierre_de_Fermat
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| gptkbp:related_concept |
cubic equations.
|
| gptkbp:related_to |
gptkb:Fermat's_Last_Theorem
the theory of elliptic curves. Fermat's theorem on sums of two squares. |
| gptkbp:significance |
It highlights the limitations of integer solutions.
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| gptkbp:state |
There are no three positive integers a, b, and c such that a^3 + b^3 = c^3.
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