Fermat's theorem on the sum of two twelfth powers

GPTKB entity

Statements (27)
Predicate Object
gptkbp:instance_of gptkb:theorem
gptkbp:bfsLayer 5
gptkbp:bfsParent gptkb:Fermat
gptkbp:applies_to positive integers
gptkbp:challenges to prove for higher powers
gptkbp:has_influence_on modern number theory
gptkbp:has_programs algebraic number theory
https://www.w3.org/2000/01/rdf-schema#label Fermat's theorem on the sum of two twelfth powers
gptkbp:inspired further research in number theory
gptkbp:is_a theorem in mathematics
special case of Fermat's Last Theorem
gptkbp:is_cited_in mathematical literature
gptkbp:is_considered a significant result in mathematics
gptkbp:is_discussed_in mathematical journals
gptkbp:is_explored_in advanced mathematics courses
gptkbp:is_noted_for its historical significance
gptkbp:is_opposed_by counterexamples
gptkbp:is_part_of number theory
Fermat's conjectures
gptkbp:is_related_to gptkb:Diophantine_equations
modular forms
gptkbp:is_similar_to gptkb:Fermat's_theorem_on_sums_of_two_squares
gptkbp:is_studied_in mathematical research
gptkbp:proposed_by gptkb:Pierre_de_Fermat
gptkbp:published_by Fermat's correspondence
gptkbp:related_to gptkb:Fermat's_Last_Theorem
gptkbp:state There are no three positive integers a, b, and c that satisfy the equation a^12 + b^12 = c^12.