Segmented Sieve

Here given code implementation process.

import java.util.ArrayList;
// Java program for
// Segmented Sieve
public class Sieve
{
	public void eratosthenesSieve(ArrayList < Integer > prime, int n)
	{
		boolean[] mark = new boolean[n + 1];
		// Set all element as prime
		for (int i = 0; i <= n; ++i)
		{
			mark[i] = true;
		}
		mark[0] = false;
		mark[1] = false;
		for (int i = 2; i <= n; ++i)
		{
			if (mark[i] == true)
			{
				// Collect prime element
				prime.add(i);
				for (int j = i * i; j <= n; j += i)
				{
					mark[j] = false;
				}
			}
		}
	}
	public void segmentedSieve(int n)
	{
		if (n <= 0)
		{
			return;
		}
		ArrayList < Integer > prime = new ArrayList < Integer > ();
		// Get the initial prime number by given n
		int limit = (int)(Math.floor(Math.sqrt(n)) + 1);
		int low = limit;
		int high = 2 * limit;
		int value = 0;
		// Container which is used to detect (√n) prime element
		boolean[] mark = new boolean[limit + 1];
		// Find first (√n) prime number 
		eratosthenesSieve(prime, limit);
		// Print the initials prime number
		for (int i = 0; i < prime.size(); ++i)
		{
			System.out.print("  " + prime.get(i));
		}
		// This loop displays the remaining prime number between (√n .. n)
		while (low < n)
		{
			// Set next (√n) prime number is valid
			for (int i = 0; i <= limit; ++i)
			{
				mark[i] = true;
			}
			if (high >= n)
			{
				// When next prime pair are greater than n
				// Set high value to n
				high = n;
			}
			for (int i = 0; i < prime.size(); i++)
			{
				value = (int)(Math.floor(low / prime.get(i)) * prime.get(i));
				if (value < low)
				{
					// Add current prime value 
					value += prime.get(i);
				}
				for (int j = value; j < high; j += prime.get(i))
				{
					// Set mutiple is non prime
					mark[j - low] = false;
				}
			}
			// Display prime elements
			for (int i = low; i < high; i++)
			{
				if (mark[i - low] == true)
				{
					System.out.print("  " + i);
				}
			}
			// Update of all multiple of value is non prime
			high = high + limit;
			low = low + limit;
		}
	}
	public static void main(String[] args)
	{
		Sieve task = new Sieve();
		task.segmentedSieve(100);
	}
}

Output

  2  3  5  7  11  13  17  19  23  29  31  37  41  43  47  53  59  61  67  71  73  79  83  89  97
// Include header file
#include <iostream>
#include <vector>
#include <math.h>

using namespace std;
// C++ program for
// Segmented Sieve
class Sieve
{
	public: void eratosthenesSieve(vector < int > &prime, int n)
	{
		bool mark[n + 1];
		// Set all element as prime
		for (int i = 0; i <= n; ++i)
		{
			mark[i] = true;
		}
		mark[0] = false;
		mark[1] = false;
		for (int i = 2; i <= n; ++i)
		{
			if (mark[i] == true)
			{
				// Collect prime element
				prime.push_back(i);
				for (int j = i *i; j <= n; j += i)
				{
					mark[j] = false;
				}
			}
		}
	}
	void segmentedSieve(int n)
	{
		if (n <= 0)
		{
			return;
		}
		vector < int > prime;
		// Get the initial prime number by given n
		int limit = (int)(floor(sqrt(n)) + 1);
		int low = limit;
		int high = 2 *limit;
		int value = 0;
		// Container which is used to detect (√n) prime element
		bool mark[limit + 1];
		// Find first (√n) prime number 
		this->eratosthenesSieve(prime, limit);
		// Print the initials prime number
		for (int i = 0; i < prime.size(); ++i)
		{
			cout << "  " << prime.at(i);
		}
		// This loop displays the remaining prime number between (√n .. n)
		while (low < n)
		{
			// Set next (√n) prime number is valid
			for (int i = 0; i <= limit; ++i)
			{
				mark[i] = true;
			}
			if (high >= n)
			{
				// When next prime pair are greater than n
				// Set high value to n
				high = n;
			}
			for (int i = 0; i < prime.size(); i++)
			{
				value = (int)(floor(low / prime.at(i)) *prime.at(i));
				if (value < low)
				{
					// Add current prime value 
					value += prime.at(i);
				}
				for (int j = value; j < high; j += prime.at(i))
				{
					// Set mutiple is non prime
					mark[j - low] = false;
				}
			}
			// Display prime elements
			for (int i = low; i < high; i++)
			{
				if (mark[i - low] == true)
				{
					cout << "  " << i;
				}
			}
			// Update of all multiple of value is non prime
			high = high + limit;
			low = low + limit;
		}
	}
};
int main()
{
	Sieve *task = new Sieve();
	task->segmentedSieve(100);
	return 0;
}

Output

  2  3  5  7  11  13  17  19  23  29  31  37  41  43  47  53  59  61  67  71  73  79  83  89  97
// Include namespace system
using System;
using System.Collections.Generic;
// Csharp program for
// Segmented Sieve
public class Sieve
{
	public void eratosthenesSieve(List < int > prime, int n)
	{
		Boolean[] mark = new Boolean[n + 1];
		// Set all element as prime
		for (int i = 0; i <= n; ++i)
		{
			mark[i] = true;
		}
		mark[0] = false;
		mark[1] = false;
		for (int i = 2; i <= n; ++i)
		{
			if (mark[i] == true)
			{
				// Collect prime element
				prime.Add(i);
				for (int j = i * i; j <= n; j += i)
				{
					mark[j] = false;
				}
			}
		}
	}
	public void segmentedSieve(int n)
	{
		if (n <= 0)
		{
			return;
		}
		List < int > prime = new List < int > ();
		// Get the initial prime number by given n
		int limit = (int)(Math.Floor(Math.Sqrt(n)) + 1);
		int low = limit;
		int high = 2 * limit;
		int value = 0;
		// Container which is used to detect (√n) prime element
		Boolean[] mark = new Boolean[limit + 1];
		// Find first (√n) prime number 
		this.eratosthenesSieve(prime, limit);
		// Print the initials prime number
		for (int i = 0; i < prime.Count; ++i)
		{
			Console.Write("  " + prime[i]);
		}
		// This loop displays the remaining prime number between (√n .. n)
		while (low < n)
		{
			// Set next (√n) prime number is valid
			for (int i = 0; i <= limit; ++i)
			{
				mark[i] = true;
			}
			if (high >= n)
			{
				// When next prime pair are greater than n
				// Set high value to n
				high = n;
			}
			for (int i = 0; i < prime.Count; i++)
			{
				value = (int)(Math.Floor(low / prime[i]) * prime[i]);
				if (value < low)
				{
					// Add current prime value 
					value += prime[i];
				}
				for (int j = value; j < high; j += prime[i])
				{
					// Set mutiple is non prime
					mark[j - low] = false;
				}
			}
			// Display prime elements
			for (int i = low; i < high; i++)
			{
				if (mark[i - low] == true)
				{
					Console.Write("  " + i);
				}
			}
			// Update of all multiple of value is non prime
			high = high + limit;
			low = low + limit;
		}
	}
	public static void Main(String[] args)
	{
		Sieve task = new Sieve();
		task.segmentedSieve(100);
	}
}

Output

cshap.cs(68,31): error CS0121: The call is ambiguous between the following methods or properties: `System.Math.Floor(decimal)' and `System.Math.Floor(double)'
/usr/lib/mono/4.5/mscorlib.dll (Location of the symbol related to previous error)
Compilation failed: 1 error(s), 0 warnings
// Include namespace system
using System;
using System.Collections.Generic;
// Csharp program for
// Segmented Sieve
public class Sieve
{
    public void eratosthenesSieve(List < int > prime, int n)
    {
        Boolean[] mark = new Boolean[n + 1];
        // Set all element as prime
        for (int i = 0; i <= n; ++i)
        {
            mark[i] = true;
        }
        mark[0] = false;
        mark[1] = false;
        for (int i = 2; i <= n; ++i)
        {
            if (mark[i] == true)
            {
                // Collect prime element
                prime.Add(i);
                for (int j = i * i; j <= n; j += i)
                {
                    mark[j] = false;
                }
            }
        }
    }
    public void segmentedSieve(int n)
    {
        if (n <= 0)
        {
            return;
        }
        List < int > prime = new List < int > ();
        // Get the initial prime number by given n
        int limit = (int)(Math.Floor(Math.Sqrt(n)) + 1);
        int low = limit;
        int high = 2 * limit;
        int v = 0;
        // Container which is used to detect (√n) prime element
        Boolean[] mark = new Boolean[limit + 1];
        // Find first (√n) prime number 
        this.eratosthenesSieve(prime, limit);
        // Print the initials prime number
        for (int i = 0; i < prime.Count; ++i)
        {
            Console.Write("  " + prime[i]);
        }
        // This loop displays the remaining prime number between (√n .. n)
        while (low < n)
        {
            // Set next (√n) prime number is valid
            for (int i = 0; i <= limit; ++i)
            {
                mark[i] = true;
            }
            if (high >= n)
            {
                // When next prime pair are greater than n
                // Set high value to n
                high = n;
            }
            for (int i = 0; i < prime.Count; i++)
            {
                v = (int)Math.Floor((Double)low / prime[i]) * prime[i];
                if (v < low)
                {
                    // Add current prime value 
                    v += prime[i];
                }
                for (int j = v; j < high; j += prime[i])
                {
                    // Set mutiple is non prime
                    mark[j - low] = false;
                }
            }
            // Display prime elements
            for (int i = low; i < high; i++)
            {
                if (mark[i - low] == true)
                {
                    Console.Write("  " + i);
                }
            }
            // Update of all multiple of value is non prime
            high = high + limit;
            low = low + limit;
        }
    }
    public static void Main(String[] args)
    {
        Sieve task = new Sieve();
        task.segmentedSieve(100);
    }
}

Output

  2  3  5  7  11  13  17  19  23  29  31  37  41  43  47  53  59  61  67  71  73  79  83  89  97
package main
import "math"
import "fmt"
// Go program for
// Segmented Sieve
type Sieve struct {}
func getSieve() * Sieve {
	var me *Sieve = &Sieve {}
	return me
}
func(this Sieve) eratosthenesSieve(prime *[] int, n int) {
	// Set all element as prime
	var mark = make([] bool, n + 1)
	for i := 0; i < n; i++ {
		mark[i] = true
	}
	mark[0] = false
	mark[1] = false
	for i := 2 ; i <= n ; i++ {
		if mark[i] == true {
			// Collect prime element
			*prime = append(*prime, i)
			for j := i * i ; j <= n ; j += i {
				mark[j] = false
			}
		}
	}
}
func(this Sieve) segmentedSieve(n int) {
	if n <= 0 {
		return
	}
	var prime = make([]int,0)
	// Get the initial prime number by given n
	var limit int = (int)(math.Floor(math.Sqrt(float64(n))) + 1)
	var low int = limit
	var high int = 2 * limit
	var value int = 0
	// Container which is used to detect (√n) prime element
	var mark = make([] bool, limit + 1)
	// Find first (√n) prime number 
	this.eratosthenesSieve(&prime, limit)
	// Print the initials prime number
	for i := 0 ; i < len(prime) ; i++ {
		fmt.Print("  ", prime[i])
	}
	// This loop displays the remaining prime number between (√n .. n)
	for (low < n) {
		// Set next (√n) prime number is valid
		for i := 0 ; i <= limit ; i++ {
			mark[i] = true
		}
		if high >= n {
			// When next prime pair are greater than n
			// Set high value to n
			high = n
		}
		for i := 0 ; i < len(prime) ; i++ {
			value = (int)(math.Floor(float64(low) / float64(prime[i])) *
                          float64(prime[i]))
			if value < low {
				// Add current prime value 
				value += prime[i]
			}
			for j := value ; j < high ; j += prime[i] {
				// Set mutiple is non prime
				mark[j - low] = false
			}
		}
		// Display prime elements
		for i := low ; i < high ; i++ {
			if mark[i - low] == true {
				fmt.Print("  ", i)
			}
		}
		// Update of all multiple of value is non prime
		high = high + limit
		low = low + limit
	}
}
func main() {
	var task * Sieve = getSieve()
	task.segmentedSieve(100)
}

Output

  2  3  5  7  11  13  17  19  23  29  31  37  41  43  47  53  59  61  67  71  73  79  83  89  97
<?php
// Php program for
// Segmented Sieve
class Sieve
{
	public	function eratosthenesSieve(&$prime, $n)
	{
		// Set all element as prime
		$mark = array_fill(0, $n + 1, true);
		$mark[0] = false;
		$mark[1] = false;
		for ($i = 2; $i <= $n; ++$i)
		{
			if ($mark[$i] == true)
			{
				// Collect prime element
				$prime[] = $i;
				for ($j = $i * $i; $j <= $n; $j += $i)
				{
					$mark[$j] = false;
				}
			}
		}
	}
	public	function segmentedSieve($n)
	{
		if ($n <= 0)
		{
			return;
		}
		$prime = array();
		// Get the initial prime number by given n
		$limit = (int)(floor(sqrt($n)) + 1);
		$low = $limit;
		$high = 2 * $limit;
		$value = 0;
		// Container which is used to detect (√n) prime element
		$mark = array_fill(0, $limit + 1, false);
		// Find first (√n) prime number 
		$this->eratosthenesSieve($prime, $limit);
		// Print the initials prime number
		for ($i = 0; $i < count($prime); ++$i)
		{
			echo("  ".$prime[$i]);
		}
		// This loop displays the remaining prime number between (√n .. n)
		while ($low < $n)
		{
			// Set next (√n) prime number is valid
			for ($i = 0; $i <= $limit; ++$i)
			{
				$mark[$i] = true;
			}
			if ($high >= $n)
			{
				// When next prime pair are greater than n
				// Set high value to n
				$high = $n;
			}
			for ($i = 0; $i < count($prime); $i++)
			{
				$value = (int)(floor((int)($low / $prime[$i])) * $prime[$i]);
				if ($value < $low)
				{
					// Add current prime value 
					$value += $prime[$i];
				}
				for ($j = $value; $j < $high; $j += $prime[$i])
				{
					// Set mutiple is non prime
					$mark[$j - $low] = false;
				}
			}
			// Display prime elements
			for ($i = $low; $i < $high; $i++)
			{
				if ($mark[$i - $low] == true)
				{
					echo("  ".$i);
				}
			}
			// Update of all multiple of value is non prime
			$high = $high + $limit;
			$low = $low + $limit;
		}
	}
}

function main()
{
	$task = new Sieve();
	$task->segmentedSieve(100);
}
main();

Output

  2  3  5  7  11  13  17  19  23  29  31  37  41  43  47  53  59  61  67  71  73  79  83  89  97
import math
#  Python 3 program for
#  Segmented Sieve
class Sieve :
	def eratosthenesSieve(self, prime, n) :
		mark = [True] * (n + 1)
		mark[0] = False
		mark[1] = False
		i = 2
		while (i <= n) :
			if (mark[i] == True) :
				#  Collect prime element
				prime.append(i)
				j = i * i
				while (j <= n) :
					mark[j] = False
					j += i
				
			
			i += 1
		
	
	def segmentedSieve(self, n) :
		if (n <= 0) :
			return
		
		prime = []
		#  Get the initial prime number by given n
		limit = (int)(math.floor(math.sqrt(n)) + 1)
		low = limit
		high = 2 * limit
		value = 0
		#  Container which is used to detect (√n) prime element
		mark = [False] * (limit + 1)
		#  Find first (√n) prime number 
		self.eratosthenesSieve(prime, limit)
		i = 0
		#  Print the initials prime number
		while (i < len(prime)) :
			print("  ", prime[i], end = "")
			i += 1
		
		#  This loop displays the remaining prime number between (√n .. n)
		while (low < n) :
			i = 0
			#  Set next (√n) prime number is valid
			while (i <= limit) :
				mark[i] = True
				i += 1
			
			if (high >= n) :
				#  When next prime pair are greater than n
				#  Set high value to n
				high = n
			
			i = 0
			while (i < len(prime)) :
				value = (int)(math.floor(int(low / prime[i])) * prime[i])
				if (value < low) :
					#  Add current prime value 
					value += prime[i]
				
				j = value
				while (j < high) :
					#  Set mutiple is non prime
					mark[j - low] = False
					j += prime[i]
				
				i += 1
			
			i = low
			#  Display prime elements
			while (i < high) :
				if (mark[i - low] == True) :
					print("  ", i, end = "")
				
				i += 1
			
			#  Update of all multiple of value is non prime
			high = high + limit
			low = low + limit
		
	

def main() :
	task = Sieve()
	task.segmentedSieve(100)

if __name__ == "__main__": main()

Output

   2   3   5   7   11   13   17   19   23   29   31   37   41   43   47   53   59   61   67   71   73   79   83   89   97
// Node JS program for
// Segmented Sieve
class Sieve
{
	eratosthenesSieve(prime, n)
	{
		// Set all element as prime
		var mark = Array(n + 1).fill(true);
		mark[0] = false;
		mark[1] = false;
		for (var i = 2; i <= n; ++i)
		{
			if (mark[i] == true)
			{
				// Collect prime element
				prime.push(i);
				for (var j = i * i; j <= n; j += i)
				{
					mark[j] = false;
				}
			}
		}
	}
	segmentedSieve(n)
	{
		if (n <= 0)
		{
			return;
		}
		var prime =  [];
		// Get the initial prime number by given n
		var limit = parseInt(Math.floor(Math.sqrt(n)) + 1);
		var low = limit;
		var high = 2 * limit;
		var value = 0;
		// Container which is used to detect (√n) prime element
		var mark = Array(limit + 1).fill(false);
		// Find first (√n) prime number 
		this.eratosthenesSieve(prime, limit);
		// Print the initials prime number
		for (var i = 0; i < prime.length; ++i)
		{
			process.stdout.write("  " + prime[i]);
		}
		// This loop displays the remaining prime number between (√n .. n)
		while (low < n)
		{
			// Set next (√n) prime number is valid
			for (var i = 0; i <= limit; ++i)
			{
				mark[i] = true;
			}
			if (high >= n)
			{
				// When next prime pair are greater than n
				// Set high value to n
				high = n;
			}
			for (var i = 0; i < prime.length; i++)
			{
				value = parseInt(
                  Math.floor(parseInt(low / prime[i])) * prime[i]
                );
				if (value < low)
				{
					// Add current prime value 
					value += prime[i];
				}
				for (var j = value; j < high; j += prime[i])
				{
					// Set mutiple is non prime
					mark[j - low] = false;
				}
			}
			// Display prime elements
			for (var i = low; i < high; i++)
			{
				if (mark[i - low] == true)
				{
					process.stdout.write("  " + i);
				}
			}
			// Update of all multiple of value is non prime
			high = high + limit;
			low = low + limit;
		}
	}
}

function main()
{
	var task = new Sieve();
	task.segmentedSieve(100);
}
main();

Output

  2  3  5  7  11  13  17  19  23  29  31  37  41  43  47  53  59  61  67  71  73  79  83  89  97
#  Ruby program for
#  Segmented Sieve
class Sieve 
	def eratosthenesSieve(prime, n) 
		#  Set all element as prime
		mark = Array.new(n + 1) {true}
		mark[0] = false
		mark[1] = false
		i = 2
		while (i <= n) 
			if (mark[i] == true) 
				#  Collect prime element
				prime.push(i)
				j = i * i
				while (j <= n) 
					mark[j] = false
					j += i
				end

			end

			i += 1
		end

	end

	def segmentedSieve(n) 
		if (n <= 0) 
			return
		end

		prime = []
		#  Get the initial prime number by given n
		limit =  (Math.sqrt(n).floor() + 1)
		low = limit
		high = 2 * limit
		value = 0
		#  Container which is used to detect (√n) prime element
		mark = Array.new(limit + 1) {false}
		#  Find first (√n) prime number 
		self.eratosthenesSieve(prime, limit)
		i = 0
		#  Print the initials prime number
		while (i < prime.length) 
			print("  ", prime[i])
			i += 1
		end

		#  This loop displays the remaining prime number between (√n .. n)
		while (low < n) 
			i = 0
			#  Set next (√n) prime number is valid
			while (i <= limit) 
				mark[i] = true
				i += 1
			end

			if (high >= n) 
				#  When next prime pair are greater than n
				#  Set high value to n
				high = n
			end

			i = 0
			while (i < prime.length) 
				value = ((low / prime[i]).floor() * prime[i])
				if (value < low) 
					#  Add current prime value 
					value += prime[i]
				end

				j = value
				while (j < high) 
					#  Set mutiple is non prime
					mark[j - low] = false
					j += prime[i]
				end

				i += 1
			end

			i = low
			#  Display prime elements
			while (i < high) 
				if (mark[i - low] == true) 
					print("  ", i)
				end

				i += 1
			end

			#  Update of all multiple of value is non prime
			high = high + limit
			low = low + limit
		end

	end

end

def main() 
	task = Sieve.new()
	task.segmentedSieve(100)
end

main()

Output

  2  3  5  7  11  13  17  19  23  29  31  37  41  43  47  53  59  61  67  71  73  79  83  89  97
import scala.collection.mutable._;
// Scala program for
// Segmented Sieve
class Sieve()
{
	def eratosthenesSieve(prime: ArrayBuffer[Int], n: Int): Unit = {
		// Set all element as prime
		var mark: Array[Boolean] = Array.fill[Boolean](n + 1)(true);
		mark(0) = false;
		mark(1) = false;
		var i: Int = 2;
		while (i <= n)
		{
			if (mark(i) == true)
			{
				// Collect prime element
				prime += i;
				var j: Int = i * i;
				while (j <= n)
				{
					mark(j) = false;
					j += i;
				}
			}
			i += 1;
		}
	}
	def segmentedSieve(n: Int): Unit = {
		if (n <= 0)
		{
			return;
		}
		var prime: ArrayBuffer[Int] = new ArrayBuffer[Int]();
		// Get the initial prime number by given n
		var limit: Int = (Math.floor(scala.math.sqrt(n)) + 1).toInt;
		var low: Int = limit;
		var high: Int = 2 * limit;
		var value: Int = 0;
		// Container which is used to detect (√n) prime element
		var mark: Array[Boolean] = Array.fill[Boolean](limit + 1)(false);
		// Find first (√n) prime number 
		eratosthenesSieve(prime, limit);
		var i: Int = 0;
		// Print the initials prime number
		while (i < prime.size)
		{
			print("  " + prime(i));
			i += 1;
		}
		// This loop displays the remaining prime number between (√n .. n)
		while (low < n)
		{
			i = 0;
			// Set next (√n) prime number is valid
			while (i <= limit)
			{
				mark(i) = true;
				i += 1;
			}
			if (high >= n)
			{
				// When next prime pair are greater than n
				// Set high value to n
				high = n;
			}
			i = 0;
			while (i < prime.size)
			{
				value = (Math.floor(low / prime(i)) * prime(i)).toInt;
				if (value < low)
				{
					// Add current prime value 
					value += prime(i);
				}
				var j: Int = value;
				while (j < high)
				{
					// Set mutiple is non prime
					mark(j - low) = false;
					j += prime(i);
				}
				i += 1;
			}
			i = low;
			// Display prime elements
			while (i < high)
			{
				if (mark(i - low) == true)
				{
					print("  " + i);
				}
				i += 1;
			}
			// Update of all multiple of value is non prime
			high = high + limit;
			low = low + limit;
		}
	}
}
object Main
{
	def main(args: Array[String]): Unit = {
		var task: Sieve = new Sieve();
		task.segmentedSieve(100);
	}
}

Output

  2  3  5  7  11  13  17  19  23  29  31  37  41  43  47  53  59  61  67  71  73  79  83  89  97
import Foundation;
// Swift 4 program for
// Segmented Sieve
class Sieve
{
	func eratosthenesSieve(_ prime: inout[Int], _ n: Int)
	{
		// Set all element as prime
		var mark: [Bool] = Array(repeating: true, count: n + 1);
		mark[0] = false;
		mark[1] = false;
		var i: Int = 2;
		while (i <= n)
		{
			if (mark[i] == true)
			{
				// Collect prime element
				prime.append(i);
				var j: Int = i * i;
				while (j <= n)
				{
					mark[j] = false;
					j += i;
				}
			}
			i += 1;
		}
	}
	func segmentedSieve(_ n: Int)
	{
		if (n <= 0)
		{
			return;
		}
		var prime: [Int] = [Int]();
		// Get the initial prime number by given n
		let limit: Int = Int((floor(Double(n).squareRoot()) + 1));
		var low: Int = limit;
		var high: Int = 2 * limit;
		var value: Int = 0;
		// Container which is used to detect (√n) prime element
		var mark: [Bool] = Array(repeating: true, count: limit + 1);
		// Find first (√n) prime number 
		self.eratosthenesSieve(&prime, limit);
		var i: Int = 0;
		// Print the initials prime number
		while (i < prime.count)
		{
			print("  ", prime[i], terminator: "");
			i += 1;
		}
		// This loop displays the remaining prime number between (√n .. n)
		while (low < n)
		{
			i = 0;
			// Set next (√n) prime number is valid
			while (i <= limit)
			{
				mark[i] = true;
				i += 1;
			}
			if (high >= n)
			{
				// When next prime pair are greater than n
				// Set high value to n
				high = n;
			}
			i = 0;
			while (i < prime.count)
			{
				value = Int(floor(Double(low / prime[i]) * 
								 Double(prime[i])));
				if (value < low)
				{
					// Add current prime value 
					value += prime[i];
				}
				var j: Int = value;
				while (j < high)
				{
					// Set mutiple is non prime
					mark[j - low] = false;
					j += prime[i];
				}
				i += 1;
			}
			i = low;
			// Display prime elements
			while (i < high)
			{
				if (mark[i - low] == true)
				{
					print("  ", i, terminator: "");
				}
				i += 1;
			}
			// Update of all multiple of value is non prime
			high = high + limit;
			low = low + limit;
		}
	}
}
func main()
{
	let task: Sieve = Sieve();
	task.segmentedSieve(100);
}
main();

Output

   2   3   5   7   11   13   17   19   23   29   31   37   41   43   47   53   59   61   67   71   73   79   83   89   97
// Kotlin program for
// Segmented Sieve
class Sieve
{
	fun eratosthenesSieve(prime: MutableList < Int >  , n : Int): Unit
	{
		// Set all element as prime
		val mark: Array < Boolean > = Array(n + 1)
		{
			true
		};
		mark[0] = false;
		mark[1] = false;
		var i: Int = 2;
		while (i <= n)
		{
			if (mark[i] == true)
			{
				// Collect prime element
				prime.add(i);
				var j: Int = i * i;
				while (j <= n)
				{
					mark[j] = false;
					j += i;
				}
			}
			i += 1;
		}
	}
	fun segmentedSieve(n: Int): Unit
	{
		if (n <= 0)
		{
			return;
		}
		var prime: MutableList < Int > = mutableListOf < Int > ();
		// Get the initial prime number by given n
		val limit: Int = (Math.floor(Math.sqrt(n.toDouble())) + 1).toInt();
		var low: Int = limit;
		var high: Int = 2 * limit;
		var value: Int ;
		// Container which is used to detect (√n) prime element
		val mark: Array < Boolean > = Array(limit + 1)
		{
			false
		};
		// Find first (√n) prime number 
		this.eratosthenesSieve(prime, limit);
		var i: Int = 0;
		// Print the initials prime number
		while (i < prime.size)
		{
			print("  " + prime[i]);
			i += 1;
		}
		// This loop displays the remaining prime number between (√n .. n)
		while (low < n)
		{
			i = 0;
			// Set next (√n) prime number is valid
			while (i <= limit)
			{
				mark[i] = true;
				i += 1;
			}
			if (high >= n)
			{
				// When next prime pair are greater than n
				// Set high value to n
				high = n;
			}
			i = 0;
			while (i < prime.size)
			{
				value = (Math.floor((low.toDouble() / prime[i])) * 
                         prime[i]).toInt();
				if (value < low)
				{
					// Add current prime value 
					value += prime[i];
				}
				var j: Int = value;
				while (j < high)
				{
					// Set mutiple is non prime
					mark[j - low] = false;
					j += prime[i];
				}
				i += 1;
			}
			i = low;
			// Display prime elements
			while (i < high)
			{
				if (mark[i - low] == true)
				{
					print("  " + i);
				}
				i += 1;
			}
			// Update of all multiple of value is non prime
			high = high + limit;
			low = low + limit;
		}
	}
}
fun main(args: Array < String > ): Unit
{
	val task: Sieve = Sieve();
	task.segmentedSieve(100);
}

Output

  2  3  5  7  11  13  17  19  23  29  31  37  41  43  47  53  59  61  67  71  73  79  83  89  97


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