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    Prime Number Theorem

    Statement

    The prime number theorem states that the prime counting function is asymptotically given by π(n)~li(n).

    Formal statement

    lim_(n->∞)π(n)/(li(n)) = 1

    Alternate name

    PNT

    History

    formulation date | 1849 (175 years ago) formulator | Carl Friedrich Gauss status | proved proof date | 1896 (47 years later) (128 years ago) provers | Jacques Hadamard | Charles-Jean Étienne Gustave Nicolas de la Vallée Poussin additional people involved | Pafnuty Lvovich Chebyshev | Paul Erdős | Adrien-Marie Legendre | Atle Selberg

    Associated equation

    lim_(n->∞)π(n)/(li(n)) = 1

    Classes

    solved mathematics problems | mathematics theorems

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