finding sum of prime numbers under 250

Question

var sum = 0

for (i = 0; i < 250; i++) {

    function checkIfPrime() {

        for (factor = 2; factor < i; factor++) {
            if (i % factor = 0) {
            


        

Answer 1

With the prime computation, have you considered using Sieve of Eratosthenes? This is a much more elegant way of determining primes, and, summing the result is simple.

var sieve = new Array();
var maxcount = 250;
var maxsieve = 10000;

// Build the Sieve, marking all numbers as possible prime.
for (var i = 2; i < maxsieve; i++)
    sieve[i] = 1;

// Use the Sieve to find primes and count them as they are found.
var primes = [ ];
var sum = 0;
for (var prime = 2; prime < maxsieve && primes.length < maxcount; prime++)
{
    if (!sieve[prime]) continue;
    primes.push(prime); // found a prime, save it
    sum += prime;
    for (var i = prime * 2; i < maxsieve; i += prime)
        sieve[i] = 0; // mark all multiples as non prime
}

document.getElementById("result").value =
      "primes: " + primes.join(" ") + "\n"
    + "count: " + primes.length + "\n"
    + "sum: " + sum + "\n";

#result {
    width:100%;
    height:180px
}

(EDIT) With the updated algorithm, there are now two max involved:

• maxcount is the maximum number of prime numbers you wish to find
• maxsieve is a guess of sieve large enough to contain maxcount primes

You will have to validate this by actually checking the real count since there are two terminating conditions (1) we hit the limit of our sieve and cannot find any more primes, or (2) we actually found what we're looking for.

If you were to increase the number to numbers much greater than 250, than the Sieve no longer becomes viable as it would be consume great deals of memory. Anyhow, I think this all makes sense right? You really need to play with the Sieve yourself at this point than rely on my interpretation of it.