Fermat's theorem on the sum of two forty-eighth powers
GPTKB entity
Statements (58)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:theorem
|
| gptkbp:bfsLayer |
5
|
| gptkbp:bfsParent |
gptkb:Fermat
|
| gptkbp:applies_to |
natural numbers
|
| gptkbp:challenges |
number theorists
|
| gptkbp:connects |
Galois theory
|
| gptkbp:example |
mathematical conjectures
Fermat's theorem for n>2 exponential Diophantine equations non-existence results the limits of algebra |
| gptkbp:focuses_on |
modern number theory
|
| gptkbp:has_expansion |
other powers
|
| gptkbp:has_impact_on |
gptkb:Diophantine_equations
|
| gptkbp:historical_debate |
gptkb:1988
Noam Elkies |
| gptkbp:historical_significance |
mathematical proofs
|
| https://www.w3.org/2000/01/rdf-schema#label |
Fermat's theorem on the sum of two forty-eighth powers
|
| gptkbp:is_a_framework_for |
the field of number theory
|
| gptkbp:is_analyzed_in |
computational methods
|
| gptkbp:is_cited_in |
mathematical discussions
|
| gptkbp:is_connected_to |
gptkb:Mathematician
|
| gptkbp:is_discussed_in |
academic papers
mathematical circles |
| gptkbp:is_essential_for |
theory of numbers
|
| gptkbp:is_involved_in |
gptkb:Fermat's_Last_Theorem
|
| gptkbp:is_part_of |
gptkb:Fermat's_legacy
number theory Fermat's work |
| gptkbp:is_referenced_in |
mathematical literature
|
| gptkbp:is_related_to |
modular forms
Fermat's Last Theorem for n=3 |
| gptkbp:is_standardized_by |
Fermat's Last Theorem for n=48
|
| gptkbp:is_studied_in |
gptkb:Mathematician
|
| gptkbp:issues |
sum of two forty-eighth powers
|
| gptkbp:key |
the study of integer solutions
|
| gptkbp:named_after |
gptkb:Fermat
|
| gptkbp:notable_achievement |
the development of mathematics
|
| gptkbp:notable_event |
the power of mathematical reasoning
|
| gptkbp:notable_feature |
the study of powers
|
| gptkbp:outcome |
mathematical logic
|
| gptkbp:performance |
mathematical proofs
|
| gptkbp:proposed_by |
gptkb:Pierre_de_Fermat
|
| gptkbp:related_to |
gptkb:Fermat's_Last_Theorem
|
| gptkbp:resulted_in |
gptkb:Fermat's_conjecture
gptkb:Fermat's_work_on_number_theory Fermat's principle |
| gptkbp:significance |
gptkb:Mathematician
|
| gptkbp:significant_event |
the history of mathematics
mathematicians studying Diophantine equations |
| gptkbp:state |
there are no three positive integers a, b, and c such that a^48 + b^48 = c^48
|
| gptkbp:subject |
algebraic geometry
mathematical conferences mathematical research mathematicians worldwide ongoing research mathematical exploration mathematical inquiry |