📄 sieve.lua
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-- the sieve of of Eratosthenes programmed with coroutines-- typical usage: lua -e N=1000 sieve.lua | column-- generate all the numbers from 2 to nfunction gen (n) return coroutine.wrap(function () for i=2,n do coroutine.yield(i) end end)end-- filter the numbers generated by `g', removing multiples of `p'function filter (p, g) return coroutine.wrap(function () while 1 do local n = g() if n == nil then return end if math.mod(n, p) ~= 0 then coroutine.yield(n) end end end)endN=N or 1000 -- from command linex = gen(N) -- generate primes up to Nwhile 1 do local n = x() -- pick a number until done if n == nil then break end print(n) -- must be a prime number x = filter(n, x) -- now remove its multiplesend
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