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Versions on Prime Numbers Algorithm in JavaScript




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Algorithm by: Educator usingMaths

Our Prime Numbers code in Javascript.

Prime Numbers Javascript File:


var start = 1
var end = 99;
var progress = 9;
var do_next_iteration = false;
var prime_numbers = []// This array variable would hold our prime numbers as they get verified.

/*
 * STEP 1: 
 */

prime_numbers[0] = 2;
prime_numbers[1] = 3;
prime_numbers[2] = 5;
prime_numbers[3] = 7;
var square_root = 0;
var index = 0// index into our array
var current = 3// Points to the current occupied array position.

/*
 * STEP 2:
 */

for (; progress < end; progress += 2) {

    do_next_iteration = false// a flag

    //STEPS 3, 4:
    /*
     * Alright, one last check.
     * See to it that no prime number less than variable progress is a factor. 
     */

    square_root = Math.abs(Math.sqrt(progress));

    index = 0;
    for (; prime_numbers[index] <= square_root; index++) {
        if ((progress % prime_numbers[index]) == 0) {
            do_next_iteration = true;
            break;
        }
    }
    if (do_next_iteration) {
        continue;
    }

    /* 
     * If 'progress' cleared all those hurdles, then it is definitely a prime number. 
     * We'll also get our subset of smaller prime numbers from here.
     */

    prime_numbers[++current] = progress;
}


HTML File:


<!DOCTYPE html>

<html lang="en">
    <head>
        <meta charset="utf-8" />
        <title>Listing Prime Numbers</title>
        <script src="PrimeNumbers.js"></script>
    </head>
    <body>
        <h4>
            Prime numbers are numbers that can only be divided by themselves and 1 
            without remainder.<br />Here is a list of them (between 1 and 99 inclusive).
        </h4>

        <div id="my_primes"></div>

        <script>
            /*
            * The array variable prime_numbers has our prime numbers.
            * Use the array method 'join' to display the values. 
            */

            document.getElementById("my_primes").innerHTML = prime_numbers.join(", ");
        </script>
    </body>
</html>


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