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1-- the sieve of of Eratosthenes programmed with coroutines
2-- typical usage: lua -e N=1000 sieve.lua | column
3
4-- generate all the numbers from 2 to n
5function gen (n)
6 return coroutine.wrap(function ()
7 for i=2,n do coroutine.yield(i) end
8 end)
9end
10
11-- filter the numbers generated by `g', removing multiples of `p'
12function filter (p, g)
13 return coroutine.wrap(function ()
14 while 1 do
15 local n = g()
16 if n == nil then return end
17 if math.mod(n, p) ~= 0 then coroutine.yield(n) end
18 end
19 end)
20end
21
22N=N or 1000 -- from command line
23x = gen(N) -- generate primes up to N
24while 1 do
25 local n = x() -- pick a number until done
26 if n == nil then break end
27 print(n) -- must be a prime number
28 x = filter(n, x) -- now remove its multiples
29end