PrimeGenerator.cs

using System;
using System.Collections.Generic;

namespace Advanced.Algorithms.Numerical;

/// <summary>
///     A prime number generation algorithm using Sieve of Eratosthenes.
/// </summary>
public class PrimeGenerator
{
    public static List<int> GetAllPrimes(int max)
    {
        var primeTable = new bool[max + 1];

        var sqrt = Math.Sqrt(max);

        for (var i = 2; i < sqrt; i++)
        {
            //mark multiples of current number as true
            if (primeTable[i]) continue;

            for (var j = 2 * i; j <= max; j = j + i) primeTable[j] = true;
        }

        //now write back results
        var result = new List<int>();

        for (var i = 2; i < primeTable.Length; i++)
            if (!primeTable[i])
                result.Add(i);

        return result;
    }
}