Fermat's theorem on the sum of two twenty-fourth powers

GPTKB entity

Statements (54)
Predicate Object
gptkbp:instance_of gptkb:theorem
gptkbp:application gptkb:crypt
gptkbp:example a theorem in number theory
a Diophantine problem
gptkbp:field number theory
gptkbp:has_a_focus_on mathematical research groups
gptkbp:has_been_a_challenge_for mathematicians for centuries
gptkbp:has_connection_to Galois theory
gptkbp:has_expansion other powers
gptkbp:has_historical_significance the evolution of mathematical thought
gptkbp:has_implications_for the study of prime numbers
properties of elliptic curves
gptkbp:historical_achievement the history of number theory
https://www.w3.org/2000/01/rdf-schema#label Fermat's theorem on the sum of two twenty-fourth powers
gptkbp:inspired modern number theory
gptkbp:is_a_key_theorem_in the study of powers
gptkbp:is_a_solution_for by using techniques from algebraic geometry
gptkbp:is_a_subject_of gptkb:Mathematician
mathematical conferences
ongoing research
mathematical exploration
mathematical inquiry
historical analysis in mathematics
gptkbp:is_an_important_result_in the field of mathematics
gptkbp:is_cited_in mathematical discussions
gptkbp:is_connected_to the theory of elliptic curves
gptkbp:is_debated_in gptkb:1993
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_often_referenced_in academic papers
mathematical proofs
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_significant_for the history of mathematics
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_concept the study of integer solutions
gptkbp:notable_examples a conjecture in mathematics
gptkbp:often_includes mathematical textbooks
gptkbp:performance mathematical proofs
gptkbp:proposed_by gptkb:Pierre_de_Fermat
gptkbp:proven_by gptkb:Andrew_Wiles
gptkbp:related_to gptkb:Fermat's_Last_Theorem
modular forms
gptkbp:state there are no three positive integers a, b, and c such that a^24 + b^24 = c^24
gptkbp:was_involved_in Wiles' proof of Fermat's Last Theorem
gptkbp:bfsParent gptkb:Fermat
gptkbp:bfsLayer 5