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Prime number theorem
In
number theory
, the
prime number theorem
(
PNT
) describes the
asymptotic
distribution of the
prime numbers
among the positive integers. It formalizes the intuitive idea that primes become less common as they become larger by precisely quantifying the rate at which this occurs. The theorem was proved independently by
Jacques Hadamard
and
Charles Jean de la Vallée-Poussin
in 1896 using ideas introduced by
Bernhard Riemann
(in particular, the
Riemann zeta function
).
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