Sieve of Eratosthenes


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Returns an array of all the prime numbers up to (n) using an implementation of the Sieve of Eratosthenes.


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  1. var getPrimes = function (n) {
  2. var numbers = [],
  3. multiple, i, j, len,
  4. square = function (x) { return x * x; };
  5.  
  6. for(i = 2; i <= n; i++) {
  7. numbers.push(i);
  8. }
  9.  
  10. for(j = 0; square(numbers[j]) < n; j++) {
  11. multiple = numbers[j];
  12. for(i = 0, len = numbers.length; i < len; i++) {
  13. if(numbers[i] % multiple === 0) {
  14. if(numbers[i] === multiple) { i++; continue; }
  15. numbers.splice(i, 1);
  16. }
  17. }
  18. }
  19. return numbers;
  20. };

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