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Primes

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Jul 9th, 2014
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C# 0.85 KB | None | 0 0
  1. using System;
  2. using System.Collections.Generic;
  3. using System.Linq;
  4.  
  5. class Program
  6. {
  7.     static IEnumerable<int> Integers(int from)
  8.     {
  9.         for (;;)
  10.         {
  11.             yield return from;
  12.             from += 1;
  13.         }
  14.     }
  15.  
  16.     static IEnumerable<int> Helper(int p, IEnumerable<int> xs)
  17.     {
  18.         foreach (var x in xs)
  19.         {
  20.             if (x % p != 0)
  21.                 yield return x;
  22.         }
  23.     }
  24.  
  25.     static IEnumerable<int> Sieve(IEnumerable<int> seq)
  26.     {
  27.         var p = seq.First();
  28.         var xs = seq.Skip(1);
  29.  
  30.         yield return p;
  31.         foreach (var x in Sieve(Helper(p, xs)))
  32.             yield return x;
  33.     }
  34.  
  35.     static void Main(string[] args)
  36.     {
  37.         var primes = Sieve(Integers(2));
  38.         foreach (var prime in primes.Take(20))
  39.             Console.WriteLine(prime);
  40.     }
  41. }
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