RosettaCodeData/Task/Legendre-prime-counting-fun.../Mathematica/legendre-prime-counting-fun...

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ClearAll[Phi,pi]
$RecursionLimit = 10^6;
Phi[x_, 0] := x
Phi[x_, a_] := Phi[x, a] = Phi[x, a - 1] - Phi[Floor[x/Prime[a]], a - 1]
pi[n_] := Module[{a}, If[n < 2, 0, a = pi[Floor[Sqrt[n]]]; Phi[n, a] + a - 1]]
Scan[Print[pi[10^#]] &, Range[0,9]]