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: Hardy–Littlewood prime k-tuple conjecture | Statement: [twin prime conjecture, relatedConjecture, Hardy–Littlewood prime k-tuple conjecture]

Target entity: Hardy–Littlewood prime k-tuple conjecture
Context triple: [twin prime conjecture, relatedConjecture, Hardy–Littlewood prime k-tuple conjecture]

• A. Hardy–Littlewood conjectures chosen
  The Hardy–Littlewood conjectures are a collection of influential unproven hypotheses in analytic number theory that generalize the prime number theorem to describe the distribution of prime numbers and prime constellations.
• B. Bateman–Horn conjecture
  The Bateman–Horn conjecture is a far-reaching unproven statement in number theory that predicts how often sets of polynomial expressions simultaneously take prime values, generalizing several earlier conjectures about the distribution of prime numbers.
• C. Bunyakovsky conjecture
  The Bunyakovsky conjecture is an unproven statement in number theory asserting that certain irreducible integer polynomials with positive leading coefficient take on infinitely many prime values.
• D. twin prime conjecture
  The twin prime conjecture is an unsolved problem in number theory asserting that there are infinitely many pairs of prime numbers that differ by 2.
• E. Legendre’s conjecture on primes between consecutive squares
  Legendre’s conjecture on primes between consecutive squares is an unproven statement in number theory asserting that there is always at least one prime number between any two consecutive perfect squares.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.