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Ingy döt Net 2023-07-01 11:58:00 -04:00
parent 7387c8f97b
commit cb5bb5e222
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Task/Legendre-prime-counting-function/Picat/legendre-prime-counting-function.picat Normal file
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table(+, +, nt)
phi(X, 0, _) = X.
phi(X, A, Primes) = phi(X, A - 1, Primes) - phi(X // Primes[A], A - 1, Primes).
pi(N) = Count, N < 2 => Count = 0.
pi(N) = Count =>
M = floor(sqrt(N)),
A = pi(M),
Count = phi(N, A, math.primes(M)) + A - 1.
main =>
N = 1,
foreach (K in 0..9)
writef("10^%w %w%n", K, pi(N)),
N := N * 10.