Triple

Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).

Phrase: Fermat’s Last Theorem | Statement: [Fermat curve, relatedToConjecture, Fermat’s Last Theorem]

Target entity: Fermat’s Last Theorem
Context triple: [Fermat curve, relatedToConjecture, Fermat’s Last Theorem]

• A. Fermat's Last Theorem chosen
  Fermat's Last Theorem is a famous statement in number theory asserting that there are no whole-number solutions to the equation xⁿ + yⁿ = zⁿ for integers n greater than 2, a problem that remained unsolved for over three centuries until it was proved by Andrew Wiles in the 1990s.
• B. Birch and Swinnerton-Dyer Conjecture
  The Birch and Swinnerton-Dyer Conjecture is a central unsolved problem in number theory that predicts a deep connection between the arithmetic of rational points on an elliptic curve and the behavior of its associated L-function at a specific value.
• C. Fermat polygonal number theorem
  The Fermat polygonal number theorem is a result in number theory stating that every positive integer can be expressed as a sum of a fixed number of polygonal numbers of a given order.
• D. Fermat's theorem on sums of two squares
  Fermat's theorem on sums of two squares is a result in number theory stating exactly which prime numbers (and, more generally, which integers) can be expressed as the sum of two perfect squares.
• E. Riemann hypothesis
  The Riemann hypothesis is a famous unsolved conjecture in number theory asserting that all nontrivial zeros of the Riemann zeta function lie on a critical line in the complex plane, with deep implications for the distribution of prime numbers.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target predicate: relatedToConjecture
Context triple: [Fermat curve, relatedToConjecture, Fermat’s Last Theorem]

• A. relatedConjecture
  Indicates that one conjecture is connected or associated with another conjecture, such as by similarity, dependency, or thematic relation.
• B. associatedConjecture chosen
  Indicates that one entity is linked or connected to a particular conjecture, typically as its subject, source, or relevant context.
• C. relatedTheorem
  Indicates that one theorem is connected to another through a logical, thematic, or derivational relationship.
• D. relatedTo
  Indicates a general, non-specific relationship or association exists between two entities.
• E. relatedByFormula
  Indicates that one entity is mathematically or logically derived from, or connected to, another according to a specific formula.
• F. None of above.