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rose-ash/lib/haskell/tests/programs/sieve.hs

14 lines
424 B
Haskell

-- sieve.hs — lazy sieve of Eratosthenes.
--
-- Each recursive call to `sieve` consumes one prime `p` off the front
-- of the input stream and produces an infinite stream of composites
-- filtered out via `filter`. Because cons is lazy, only as much of
-- the stream is forced as demanded by `take`.
sieve (p:xs) = p : sieve (filter (\x -> x `mod` p /= 0) xs)
sieve [] = []
primes = sieve [2..]
result = take 10 primes