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Siege of Eratostenes - JavaScript algorithm (working :P )
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<!DOCTYPE html> | |
<html> | |
<head> | |
<meta charset="utf-8" /> | |
</head> | |
<body> | |
<div id="siege"></div> | |
<script> | |
// siege of Eratostenes | |
// | |
// other methods: http://www.wikihow.com/Check-if-a-Number-Is-Prime | |
// | |
// bl4de bloorq@gmail.com | |
var SCOPE = 100000, | |
arr = [], | |
primes = [], | |
i = 0, | |
first = 2; | |
for ( i; i < SCOPE; i++ ) { | |
arr[i] = first++; | |
} | |
var min = arr[0]; | |
console.time("siege"); | |
while ( min < Math.sqrt( SCOPE ) ) { | |
i = 0; | |
console.log("delete all multiple of " + min); | |
for (i; i < SCOPE; i++ ) { | |
if ( arr[i] != min && arr[i] % min === 0 ) { | |
arr[i] = 0; | |
} | |
} | |
// next min | |
for ( i =0; i < SCOPE; i++ ) { | |
if ( arr[i] > min ) { | |
min = arr[i]; | |
break; | |
} | |
} | |
} | |
console.timeEnd("siege"); | |
for ( i =0 ; i < arr.length; i++) { | |
if (arr[i] > 0) { | |
primes.push( arr[i] ); | |
} | |
} | |
var siege = document.getElementById("siege"); | |
siege.innerHTML = primes.toString(); | |
</script> | |
</body> | |
</html> |
But it can be optimalized, I'm sure
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Result: 2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97,101,103,107,109,113,127,131,137,139,149,151,157,163,167,173,179,181,191,193,197,199,211,223,227,229,233,239,241,251,257,263,269,271,277,281,283,293,307,311,313,317,331,337,347,349,353,359,367,373,379,383,389,397,401,409,419,421,431,433,439,443,449,457,461,463,467,479,487,491,499,503,509,521,523,541,547,557,563,569,571,577,587,593,599,601,607,613,617,619,631,641,643,647,653,659,661,673,677,683,691,701,709,719,727,733,739,743,751,757,761,769,773,787,797,809,811,821,823,827,829,839,853,857,859,863,877,881,883,887,907,911,919,929,937,941,947,953,967,971,977,983,991,997