Fermat's Last Theorem for n=4
GPTKB entity
Statements (59)
| Predicate | Object |
|---|---|
| gptkbp:consequences |
the method of infinite descent.
|
| gptkbp:example |
a Diophantine equation.
a theorem with historical significance. a theorem that was proven long after its conjecture. |
| gptkbp:has_implications_for |
higher powers in Fermat's Last Theorem.
|
| https://www.w3.org/2000/01/rdf-schema#label |
Fermat's Last Theorem for n=4
|
| gptkbp:is_a |
special case of Fermat's Last Theorem
specific case of Fermat's Last Theorem |
| gptkbp:is_a_case_where |
the theorem holds true.
|
| gptkbp:is_a_foundation_for |
algebraic number theory.
|
| gptkbp:is_a_subject_of |
mathematicians.
|
| gptkbp:is_connected_to |
the work of Fermat.
|
| gptkbp:is_often_discussed_in |
mathematical literature.
|
| gptkbp:is_often_referenced_in |
mathematical proofs.
|
| gptkbp:is_part_of |
the history of mathematics.
the legacy of Fermat. |
| gptkbp:is_related_to |
the theory of elliptic curves
the concept of modular forms. |
| gptkbp:is_represented_in |
x^4 + y^4 = z^4 has no integer solutions.
|
| gptkbp:is_significant_for |
number theory.
|
| gptkbp:is_studied_in |
modern mathematics.
|
| gptkbp:legal_principle |
has been a source of inspiration for mathematicians.
has been a subject of fascination. influenced many mathematicians. has applications in cryptography. has been a benchmark for mathematical proofs. has been a challenge for mathematicians. has been a part of mathematical advancement. has been a part of mathematical culture. has been a part of mathematical discovery. has been a part of mathematical education. has been a part of mathematical exploration. has been a part of mathematical folklore. has been a part of mathematical history. has been a part of mathematical inquiry. has been a part of mathematical legacy. has been a part of mathematical philosophy. has been a part of mathematical progress. has been a part of mathematical research. has been a part of mathematical thought. has been a part of mathematical tradition. has been a part of mathematical understanding. has been analyzed in various contexts. has been discussed in popular culture. has been featured in books. has been generalized. has been proven using modern techniques. has been taught in mathematics courses. has been the focus of academic papers. has been the subject of documentaries. has connections to other areas of mathematics. has historical roots. has inspired further research. has been a topic of discussion in mathematical circles. has been influential in the development of number theory. |
| gptkbp:was_first_proven_in |
1770.
|
| gptkbp:was_proven_by |
gptkb:Joseph-Louis_Lagrange
|
| gptkbp:bfsParent |
gptkb:Fermat's_Last_Theorem
|
| gptkbp:bfsLayer |
4
|