Fermat's theorem on the sum of two twenty-fourth powers
GPTKB entity
Statements (54)
Predicate | Object |
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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:application |
gptkb:currency
|
gptkbp:challenges |
mathematicians for centuries
|
gptkbp:connects |
Galois theory
|
gptkbp:created_by |
gptkb:Andrew_Wiles
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gptkbp:example |
a theorem in number theory
a Diophantine problem |
gptkbp:field |
number theory
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gptkbp:focuses_on |
mathematical research groups
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gptkbp:has_expansion |
other powers
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gptkbp:has_impact_on |
the study of prime numbers
properties of elliptic curves |
gptkbp:historical_debate |
gptkb:1993
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gptkbp:historical_significance |
the evolution of mathematical thought
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https://www.w3.org/2000/01/rdf-schema#label |
Fermat's theorem on the sum of two twenty-fourth powers
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gptkbp:inspired |
modern number theory
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gptkbp:is_a_solution_for |
by using techniques from algebraic geometry
|
gptkbp:is_cited_in |
mathematical discussions
|
gptkbp:is_connected_to |
the theory of elliptic curves
|
gptkbp:is_discussed_in |
mathematical literature
number theory courses |
gptkbp:is_explored_in |
advanced mathematics courses
|
gptkbp:is_influential_in |
the development of modern algebra
|
gptkbp:is_involved_in |
Wiles' proof of Fermat's Last Theorem
|
gptkbp:is_often_associated_with |
academic papers
mathematical proofs mathematical textbooks |
gptkbp:is_part_of |
the curriculum in mathematics education
Fermat's conjectures Fermat's work |
gptkbp:is_related_to |
gptkb:Diophantine_equations
the study of rational points |
gptkbp:is_standardized_by |
Fermat's Last Theorem for n=24
|
gptkbp:is_studied_in |
for over 350 years
|
gptkbp:issues |
sum of two twenty-fourth powers
|
gptkbp:key |
the study of integer solutions
the study of powers |
gptkbp:notable_achievement |
the field of mathematics
the history of number theory |
gptkbp:notable_event |
a conjecture in mathematics
|
gptkbp:performance |
mathematical proofs
|
gptkbp:proposed_by |
gptkb:Pierre_de_Fermat
|
gptkbp:related_to |
gptkb:Fermat's_Last_Theorem
modular forms |
gptkbp:significance |
the history of mathematics
|
gptkbp:state |
there are no three positive integers a, b, and c such that a^24 + b^24 = c^24
|
gptkbp:subject |
gptkb:Mathematician
mathematical conferences ongoing research mathematical exploration mathematical inquiry historical analysis in mathematics |