Mathematica > Mathematics and Algorithms > Number Theory > Prime Numbers > RiemannR
Mathematica > Mathematics and Algorithms > Mathematical Functions > Number Theoretic Functions > Prime Numbers > RiemannR
BUILT-IN MATHEMATICA SYMBOL

RiemannR

RiemannR[x]
gives the Riemann prime counting function .

DetailsDetails

  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • For , the Riemann prime counting function is given by .
  • RiemannR[z] has a branch cut discontinuity in the complex z plane running from to .
  • RiemannR can be evaluated to arbitrary numerical precision.
  • RiemannR automatically threads over lists.
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