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JavaScript

(function (exports) {
'use strict';
/**
* Sieve of Eratosthenes.
*
* Simple, ancient algorithm for finding all prime numbers up to given limit.
*
* Returns list of primes up to specified limit.
*
* For example, for limit 10 it should return following list of primes:
* [2, 3, 5, 7].
*
* @module primes/sieve-of-eratosthenes
* @param {Number} limit - Algorithm will returns list of primes up to
* specified limit.
* @returns {Array} Will return list with all prime numbers up to provided.
* limit.
*
* @example
* var sieveOfEratosthenes =
* require('path-to-algorithms/src/sieve-of-eratosthenes').sieveOfEratosthenes;
*
* console.log(sieveOfEratosthenes(12)); // [2, 3, 5, 7, 11]
*/
exports.sieveOfEratosthenes = function (limit) {
var sieve = [];
var primes = [];
var k;
var l;
sieve[1] = false;
for (k = 2; k <= limit; k += 1) {
sieve[k] = true;
}
for (k = 2; k * k <= limit; k += 1) {
if (sieve[k] !== true) {
continue;
}
for (l = k * k; l <= limit; l += k) {
sieve[l] = false;
}
}
sieve.forEach(function (value, key) {
if (value) {
this.push(key);
}
}, primes);
return primes;
};
}(typeof exports === 'undefined' ? window : exports));