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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
|
algebraic geometry
|
|
gptkbp:area
|
algebraic number theory
|
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gptkbp:associated_with
|
gptkb:Elliptic_curves
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|
gptkbp:challenges
|
mathematical proofs
mathematical theorists
to prove
|
|
gptkbp:contributed_to
|
understanding of number theory
|
|
gptkbp:discovered_by
|
gptkb:20th_century
|
|
gptkbp:examines
|
mathematical proofs
|
|
gptkbp:famous_for
|
its implications in number theory
its proof techniques
|
|
gptkbp:field
|
number theory
|
|
gptkbp:has_programs
|
gptkb:currency
|
|
gptkbp:historical_debate
|
gptkb:1988
Noam Elkies
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Fermat's theorem on the sum of two thirty-fourth powers
|
|
gptkbp:influenced_by
|
Fermat's work
|
|
gptkbp:inspired_by
|
gptkb:Fermat's_Last_Theorem
|
|
gptkbp:involves
|
exponential equations
|
|
gptkbp:is_a_solution_for
|
counterexamples
|
|
gptkbp:is_analyzed_in
|
gptkb:academic_journal
|
|
gptkbp:is_cited_in
|
numerous studies
|
|
gptkbp:is_considered
|
a landmark result
a significant theorem
|
|
gptkbp:is_discussed_in
|
mathematical conferences
mathematical literature
|
|
gptkbp:is_explored_in
|
gptkb:Mathematician
gptkb:Educational_Institution
research papers
|
|
gptkbp:is_influential_in
|
the field of mathematics
|
|
gptkbp:is_noted_for
|
its implications in algebra
|
|
gptkbp:is_part_of
|
gptkb:Fermat's_legacy
the history of mathematics
Fermat's work
|
|
gptkbp:is_recognized_for
|
its contribution to number theory
|
|
gptkbp:is_related_to
|
Fermat's Last Theorem for n>2
|
|
gptkbp:is_studied_in
|
advanced mathematics
students of mathematics
|
|
gptkbp:issues
|
sum of two thirty-fourth powers
|
|
gptkbp:key
|
understanding higher powers in number theory
|
|
gptkbp:notable_for
|
its complexity
the study of Diophantine equations
|
|
gptkbp:notable_work
|
Elkies' counterexample
|
|
gptkbp:proposed_by
|
gptkb:Pierre_de_Fermat
|
|
gptkbp:related_to
|
gptkb:Diophantine_equations
gptkb:Fermat's_Last_Theorem
modular forms
|
|
gptkbp:research
|
mathematicians worldwide
|
|
gptkbp:significance
|
counterexample to Fermat's Last Theorem for n=34
|
|
gptkbp:state
|
there are no three positive integers a, b, and c such that a^34 + b^34 = c^34
|
|
gptkbp:training
|
university courses
|
|
gptkbp:variant
|
gptkb:Fermat's_Last_Theorem
|