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

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

• A. 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.
• 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. 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.
• D. 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.
• E. Goldbach conjecture
  The Goldbach conjecture is a famous unsolved problem in number theory asserting that every even integer greater than 2 can be expressed as the sum of two prime numbers.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.