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PNT

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

History

formulation date | 1849 (176 years ago)
formulator | Carl Friedrich Gauss
status | proved
proof date | 1896 (47 years later) (129 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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