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