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: Green–Tao theorem for primes | Statement: [Erdős–Turán conjecture, strongerThan, Green–Tao theorem for primes]

Target entity: Green–Tao theorem for primes
Context triple: [Erdős–Turán conjecture, strongerThan, Green–Tao theorem for primes]

• A. Green–Tao theorem chosen
  The Green–Tao theorem is a landmark result in number theory proving that the sequence of prime numbers contains arbitrarily long arithmetic progressions.
• B. Szemerédi's theorem
  Szemerédi's theorem is a fundamental result in combinatorial number theory stating that any subset of the integers with positive upper density contains arbitrarily long arithmetic progressions.
• C. Bounded gaps between primes
  "Bounded gaps between primes" is a landmark 2013 result in analytic number theory proving that there exist infinitely many pairs of distinct prime numbers separated by a finite, fixed upper bound.
• D. Vinogradov's three-primes theorem
  Vinogradov's three-primes theorem is a landmark result in analytic number theory proving that every sufficiently large odd integer can be expressed as the sum of three prime numbers.
• E. Dirichlet's theorem on arithmetic progressions
  Dirichlet's theorem on arithmetic progressions is a fundamental result in number theory stating that any arithmetic progression with first term and difference coprime contains infinitely many prime numbers.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.