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: On the Number of Primes Less Than a Given Magnitude | Statement: [Über die Anzahl der Primzahlen unter einer gegebenen Grösse, alsoKnownAs, On the Number of Primes Less Than a Given Magnitude]

Target entity: On the Number of Primes Less Than a Given Magnitude
Context triple: [Über die Anzahl der Primzahlen unter einer gegebenen Grösse, alsoKnownAs, On the Number of Primes Less Than a Given Magnitude]

• A. Über die Anzahl der Primzahlen unter einer gegebenen Grösse chosen
  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.
• B. Hardy–Ramanujan asymptotic formula
  The Hardy–Ramanujan asymptotic formula is a landmark result in number theory that gives an approximate expression for the partition function p(n), describing how the number of integer partitions of n grows rapidly with n.
• C. An Introduction to the Theory of Numbers
  An Introduction to the Theory of Numbers is a classic textbook in number theory, co-authored by G. H. Hardy, that systematically develops fundamental concepts such as divisibility, prime numbers, Diophantine equations, and quadratic forms.
• D. Gauss’s lemma in number theory
  Gauss’s lemma in number theory is a result that relates the Legendre symbol to the number of sign changes in a certain sequence of multiples, providing a practical criterion for determining quadratic residues modulo an odd prime.
• E. Multiplicative Number Theory
  Multiplicative Number Theory is a branch of analytic number theory that studies arithmetic functions and prime number distributions through their multiplicative properties and associated Dirichlet series.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.