Prime Number Theorem

GPTKB entity

Statements (22)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:category theorems in number theory
gptkbp:describes asymptotic distribution of prime numbers
gptkbp:field number theory
gptkbp:generalizes gptkb:Chebyshev's_theorem
https://www.w3.org/2000/01/rdf-schema#label Prime Number Theorem
gptkbp:implies primes become less common as numbers grow larger
gptkbp:influenced analytic number theory
gptkbp:provenBy gptkb:Charles_Jean_de_la_Vallée-Poussin
gptkb:Jacques_Hadamard
gptkbp:relatedTo gptkb:Gauss's_conjecture
gptkb:Riemann_zeta_function
gptkb:Legendre's_conjecture
gptkb:logarithmic_integral
gptkbp:state the number of primes less than or equal to n is approximately n / log n
gptkbp:symbol π(n) ~ n / log n
gptkbp:uses complex analysis
properties of the Riemann zeta function
gptkbp:yearProved 1896
gptkbp:π(n) number of primes less than or equal to n
gptkbp:bfsParent gptkb:Analytic_number_theory
gptkbp:bfsLayer 5