Most efficient code for the first 10000 prime numbers?

Question

I want to print the first 10000 prime numbers. Can anyone give me the most efficient code for this? Clarifications:

1. It does not matter if your code is ineffici

Answer 1

Using Sieve of Eratosthenes, computation is quite faster compare to "known-wide" prime numbers algorithm.

By using pseudocode from it's wiki (https://en.wikipedia.org/wiki/Sieve_of_Eratosthenes), I be able to have the solution on C#.

/// Get non-negative prime numbers until n using Sieve of Eratosthenes.
public int[] GetPrimes(int n) {
    if (n <= 1) {
        return new int[] { };
    }

    var mark = new bool[n];
    for(var i = 2; i < n; i++) {
        mark[i] = true;
    }

    for (var i = 2; i < Math.Sqrt(n); i++) {
        if (mark[i]) {
            for (var j = (i * i); j < n; j += i) {
                mark[j] = false;
            }
        }
    }

    var primes = new List();
    for(var i = 3; i < n; i++) {
        if (mark[i]) {
            primes.Add(i);
        }
    }

    return primes.ToArray();
}

GetPrimes(100000000) takes 2s and 330ms.

NOTE: Value might vary depend on Hardware Specifications.