Fermat's theorem on the sum of two forty-first powers

GPTKB entity

Statements (13)
Predicate Object
gptkbp:instance_of gptkb:theorem
gptkbp:bfsLayer 5
gptkbp:bfsParent gptkb:Fermat
gptkbp:applies_to exponential equations
gptkbp:field_of_study number theory
gptkbp:first_introduced Noam Elkies
https://www.w3.org/2000/01/rdf-schema#label Fermat's theorem on the sum of two forty-first powers
gptkbp:is_standardized_by Fermat's Last Theorem for n=41
gptkbp:proposed_by gptkb:Pierre_de_Fermat
gptkbp:published_by gptkb:1993
gptkbp:related_to gptkb:Fermat's_Last_Theorem
gptkbp:significance It provides a counterexample to the generalization of Fermat's Last Theorem.
gptkbp:state There are no three positive integers a, b, and c that satisfy the equation a^41 + b^41 = c^41.