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 factorization theorem | Statement: [fundamental theorem of arithmetic, alsoKnownAs, prime factorization theorem]

Target entity: prime factorization theorem
Context triple: [fundamental theorem of arithmetic, alsoKnownAs, prime factorization theorem]

• A. fundamental theorem of arithmetic chosen
  The fundamental theorem of arithmetic states that every integer greater than 1 can be written uniquely (up to the order of factors) as a product of prime numbers.
• B. prime number theorem
  The prime number theorem is a fundamental result in number theory that describes how prime numbers become less frequent and provides an approximate formula for the number of primes less than a given large number.
• C. Bertrand's postulate
  Bertrand's postulate is a theorem in number theory stating that for every integer n > 1 there is always at least one prime number strictly between n and 2n.
• D. 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.
• E. Über die Anzahl der Primzahlen unter einer gegebenen Grösse
  Über die Anzahl der Primzahlen unter einer gegebenen Grösse is Bernhard Riemann’s seminal 1859 paper that introduced the Riemann zeta function and laid the foundations of analytic number theory, including the famous Riemann Hypothesis.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.