Sum All Primes (with sieve of Eratosthenes)

Tell us what’s happening:
I don’t understand why it doesn’t work. I used the sieve of Eratosthenes.
Thank you.

Your code so far

function sumPrimes(num) {
  var primes = [];
  var sum = 0;
  for(var i = 2; i < num; i++) {
    primes[i] = true;
  var limit = Math.sqrt(num);
  for(var i = 2; i < limit; i++){
    if(primes[i] === true){
      for(var j = (i * i); j < num; j+=i){
        primes[j] = false;
  for(var i = 2; i <= num; i++){
    if(primes[i] === true) sum += i;
  return sum;


Your browser information:

Your Browser User Agent is: Mozilla/5.0 (X11; Linux x86_64) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/61.0.3163.100 Safari/537.36.

Link to the challenge:

Some of your comparisons with num are not inclusive (i.e., you should have used <=, not just <)

1 Like

What kevcomedia is true. I used this approach too and basically ran into the same problem.

I thought I’d reply to this thread because I think my solution is similar to the OP’s but I am always missing the last integer to include in the final function.

function sumPrimes(num) {
  const sieve = new Array(num).fill(true)

  for (let x = 2; x <= Math.sqrt(num); x++) {
    if (sieve[x]) {
      for (let y = Math.pow(x, 2); y <= num; y += x) {
        sieve[y] = false

  return sieve.reduce((primesArray, prime, index) => {
    if (prime && index > 1) {

    return primesArray;
  }, []).reduce((x, y) => x + y);

I followed the Sieve of Eratosthenes algorithm found in Wikipedia and it always fails to take the last element of the array into calculation. So sumPrimes(10) will correctly output 17 but sumPrimes(23) will output 77 instead of 100. Can anyone help me with my code, please?

Consider splitting your function into two parts:

  1. The Sieve of Eratosthenes, returning a list of primes
  2. A function that sums the primes

sumPrimes(num) would then call sieve(num+1), and you are done

1 Like

I should probably clarify why I think you needed to do this, it’s from this line in the wikipedia article:

Let A be an array of Boolean values, indexed by integers 2 to n

and your line:
const sieve = new Array(num).fill(true)

  1. Array of booleans - check
  2. Indexed by integers 2 to n - not check

Your array is indexed by 0 to n-1, and hence causes the problem - sieve[n] starts undefined (which is falsey), and if it ever gets accessed it would only be to set it to false

you correctly set sieve[0] and sieve[1] to false implicitly by ignoring them in the sum (though you could just set them to false in the sieve function)