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Find the prime numbers between given range using segmented sieve

Here given code implementation process.

import java.util.ArrayList;
// Java program for
// Find the prime numbers between given range using 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 s, int e)
	{
		if (s < 0 || e < 2)
		{
			return;
		}
		System.out.println("\n Prime number in range of (" + s + "," + e + ")");
		ArrayList < Integer > prime = new ArrayList < Integer > ();
		// Get the initial prime number by given e
		int limit = (int)(Math.floor(Math.sqrt(e)) + 1);
		// Starting value
		int low = s;
		int high = (limit) + s;
		int value = 0;
		// Container which is used to detect (√e) prime element
		boolean[] mark = new boolean[limit + 1];
		// Find first (√e) prime number 
		eratosthenesSieve(prime, limit);
		for (int i = 0; i < prime.size(); ++i)
		{
			if (prime.get(i) >= s)
			{
				System.out.print("  " + prime.get(i));
			}
		}
		// This loop displays the remaining prime number between (√e .. e)
		while (low < e)
		{
			// Set next (√e) prime number is valid
			for (int i = 0; i <= limit; ++i)
			{
				mark[i] = true;
			}
			if (high >= e)
			{
				// When next prime pair are greater than e
				// Set high value to e
				high = e;
			}
			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();
		// Test
		task.segmentedSieve(100, 200);
		task.segmentedSieve(999, 1200);
	}
}

Output

 Prime number in range of (100,200)
  101  103  107  109  113  127  131  137  139  149  151  157  163  167  173  179  181  191  193  197  199
 Prime number in range of (999,1200)
  1009  1013  1019  1021  1031  1033  1039  1049  1051  1061  1063  1069  1087  1091  1093  1097  1103  1109  1117  1123  1129  1151  1153  1163  1171  1181  1187  1193
// Include header file
#include <iostream>
#include <vector>
#include <math.h>

using namespace std;
// C++ program for
// Find the prime numbers between given range using 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 s, int e)
	{
		if (s < 0 || e < 2)
		{
			return;
		}
		cout << "\n Prime number in range of (" 
             << s << "," << e << ")" << endl;
		vector < int > prime;
		// Get the initial prime number by given e
		int limit = (int)(floor(sqrt(e)) + 1);
		// Starting value
		int low = s;
		int high = limit + s;
		int value = 0;
		// Container which is used to detect (√e) prime element
		bool mark[limit + 1];
		// Find first (√e) prime number 
		this->eratosthenesSieve(prime, limit);
		for (int i = 0; i < prime.size(); ++i)
		{
			if (prime.at(i) >= s)
			{
				cout << "  " << prime.at(i);
			}
		}
		// This loop displays the remaining prime number between (√e .. e)
		while (low < e)
		{
			// Set next (√e) prime number is valid
			for (int i = 0; i <= limit; ++i)
			{
				mark[i] = true;
			}
			if (high >= e)
			{
				// When next prime pair are greater than e
				// Set high value to e
				high = e;
			}
			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();
	// Test
	task->segmentedSieve(100, 200);
	task->segmentedSieve(999, 1200);
	return 0;
}

Output

 Prime number in range of (100,200)
  101  103  107  109  113  127  131  137  139  149  151  157  163  167  173  179  181  191  193  197  199
 Prime number in range of (999,1200)
  1009  1013  1019  1021  1031  1033  1039  1049  1051  1061  1063  1069  1087  1091  1093  1097  1103  1109  1117  1123  1129  1151  1153  1163  1171  1181  1187  1193
// Include namespace system
using System;
using System.Collections.Generic;
// Csharp program for
// Find the prime numbers between given range using 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 s, int e)
	{
		if (s < 0 || e < 2)
		{
			return;
		}
		Console.WriteLine("\n Prime number in range of (" + s + "," + e + ")");
		List < int > prime = new List < int > ();
		// Get the initial prime number by given e
		int limit = (int)(Math.Floor(Math.Sqrt(e)) + 1);
		// Starting value
		int low = s;
		int high = (limit) + s;
		int value = 0;
		// Container which is used to detect (√e) prime element
		Boolean[] mark = new Boolean[limit + 1];
		// Find first (√e) prime number 
		this.eratosthenesSieve(prime, limit);
		for (int i = 0; i < prime.Count; ++i)
		{
			if (prime[i] >= s)
			{
				Console.Write("  " + prime[i]);
			}
		}
		// This loop displays the remaining prime number between (√e .. e)
		while (low < e)
		{
			// Set next (√e) prime number is valid
			for (int i = 0; i <= limit; ++i)
			{
				mark[i] = true;
			}
			if (high >= e)
			{
				// When next prime pair are greater than e
				// Set high value to e
				high = e;
			}
			for (int i = 0; i < prime.Count; i++)
			{
				value = (int)(Math.Floor((double)(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();
		// Test
		task.segmentedSieve(100, 200);
		task.segmentedSieve(999, 1200);
	}
}

Output

 Prime number in range of (100,200)
  101  103  107  109  113  127  131  137  139  149  151  157  163  167  173  179  181  191  193  197  199
 Prime number in range of (999,1200)
  1009  1013  1019  1021  1031  1033  1039  1049  1051  1061  1063  1069  1087  1091  1093  1097  1103  1109  1117  1123  1129  1151  1153  1163  1171  1181  1187  1193
package main
import "math"
import "fmt"
// Go program for
// Find the prime numbers between given range using segmented sieve
type Sieve struct {}
func getSieve() * Sieve {
	var me *Sieve = &Sieve {}
	return me
}
func(this Sieve) eratosthenesSieve(prime *[]int, n int) {
	var mark = make([] bool, n + 1)
	// Set all element as prime
	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(s, e int) {
	if s < 0 || e < 2 {
		return
	}
	fmt.Println("\n Prime number in range of (", s, ",", e, ")")
	var prime = make([]int ,0)
	// Get the initial prime number by given e
	var limit int = (int)(math.Floor(math.Sqrt(float64(e))) + 1)
	// Starting value
	var low int = s
	var high int = (limit) + s
	var value int = 0
	// Container which is used to detect (√e) prime element
	var mark = make([] bool, limit + 1)
	// Find first (√e) prime number 
	this.eratosthenesSieve(&prime, limit)
	for i := 0 ; i < len(prime) ; i++ {
		if prime[i] >= s {
			fmt.Print("  ", prime[i])
		}
	}
	// This loop displays the remaining prime number between (√e .. e)
	for (low < e) {
		// Set next (√e) prime number is valid
		for i := 0 ; i <= limit ; i++ {
			mark[i] = true
		}
		if high >= e {
			// When next prime pair are greater than e
			// Set high value to e
			high = e
		}
		for i := 0 ; i < len(prime) ; i++ {
			value = (int)(math.Floor(float64(low / 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()
	// Test
	task.segmentedSieve(100, 200)
	task.segmentedSieve(999, 1200)
}

Output

 Prime number in range of (100,200)
  101  103  107  109  113  127  131  137  139  149  151  157  163  167  173  179  181  191  193  197  199
 Prime number in range of (999,1200)
  1009  1013  1019  1021  1031  1033  1039  1049  1051  1061  1063  1069  1087  1091  1093  1097  1103  1109  1117  1123  1129  1151  1153  1163  1171  1181  1187  1193
<?php
// Php program for
// Find the prime numbers between given range using 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($s, $e)
	{
		if ($s < 0 || $e < 2)
		{
			return;
		}
		echo("\n Prime number in range of (".$s.
			",".$e.
			")".
			"\n");
		$prime = array();
		// Get the initial prime number by given e
		$limit = (int)(floor(sqrt($e)) + 1);
		// Starting value
		$low = $s;
		$high = ($limit) + $s;
		$value = 0;
		// Container which is used to detect (√e) prime element
		$mark = array_fill(0, $limit + 1, false);
		// Find first (√e) prime number 
		$this->eratosthenesSieve($prime, $limit);
		for ($i = 0; $i < count($prime); ++$i)
		{
			if ($prime[$i] >= $s)
			{
				echo("  ".$prime[$i]);
			}
		}
		// This loop displays the remaining prime number between (√e .. e)
		while ($low < $e)
		{
			// Set next (√e) prime number is valid
			for ($i = 0; $i <= $limit; ++$i)
			{
				$mark[$i] = true;
			}
			if ($high >= $e)
			{
				// When next prime pair are greater than e
				// Set high value to e
				$high = $e;
			}
			for ($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();
	// Test
	$task->segmentedSieve(100, 200);
	$task->segmentedSieve(999, 1200);
}
main();

Output

 Prime number in range of (100,200)
  101  103  107  109  113  127  131  137  139  149  151  157  163  167  173  179  181  191  193  197  199
 Prime number in range of (999,1200)
  1009  1013  1019  1021  1031  1033  1039  1049  1051  1061  1063  1069  1087  1091  1093  1097  1103  1109  1117  1123  1129  1151  1153  1163  1171  1181  1187  1193
// Node JS program for
// Find the prime numbers between given range using 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(s, e)
	{
		if (s < 0 || e < 2)
		{
			return;
		}
		console.log("\n Prime number in range of (" + 
                    s + "," + e + ")");
		var prime = [];
		// Get the initial prime number by given e
		var limit = parseInt(Math.floor(Math.sqrt(e)) + 1);
		// Starting value
		var low = s;
		var high = (limit) + s;
		var value = 0;
		// Container which is used to detect (√e) prime element
		var mark = Array(limit + 1).fill(false);
		// Find first (√e) prime number 
		this.eratosthenesSieve(prime, limit);
		for (var i = 0; i < prime.length; ++i)
		{
			if (prime[i] >= s)
			{
				process.stdout.write("  " + prime[i]);
			}
		}
		// This loop displays the remaining prime number between (√e .. e)
		while (low < e)
		{
			// Set next (√e) prime number is valid
			for (var i = 0; i <= limit; ++i)
			{
				mark[i] = true;
			}
			if (high >= e)
			{
				// When next prime pair are greater than e
				// Set high value to e
				high = e;
			}
			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();
	// Test
	task.segmentedSieve(100, 200);
	task.segmentedSieve(999, 1200);
}
main();

Output

 Prime number in range of (100,200)
  101  103  107  109  113  127  131  137  139  149  151  157  163  167  173  179  181  191  193  197  199
 Prime number in range of (999,1200)
  1009  1013  1019  1021  1031  1033  1039  1049  1051  1061  1063  1069  1087  1091  1093  1097  1103  1109  1117  1123  1129  1151  1153  1163  1171  1181  1187  1193
import math
#  Python 3 program for
#  Find the prime numbers between given range using segmented sieve
class Sieve :
	def eratosthenesSieve(self, prime, n) :
		#  Set all element as prime
		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, s, e) :
		if (s < 0 or e < 2) :
			return
		
		print("\n Prime number in range of (", s ,",", e ,")")
		prime = []
		#  Get the initial prime number by given e
		limit = (int)(math.floor(math.sqrt(e)) + 1)
		#  Starting value
		low = s
		high = (limit) + s
		value = 0
		#  Container which is used to detect (√e) prime element
		mark = [False] * (limit + 1)
		#  Find first (√e) prime number 
		self.eratosthenesSieve(prime, limit)
		i = 0
		while (i < len(prime)) :
			if (prime[i] >= s) :
				print("  ", prime[i], end = "")
			
			i += 1
		
		#  This loop displays the remaining prime number between (√e .. e)
		while (low < e) :
			i = 0
			#  Set next (√e) prime number is valid
			while (i <= limit) :
				mark[i] = True
				i += 1
			
			if (high >= e) :
				#  When next prime pair are greater than e
				#  Set high value to e
				high = e
			
			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()
	#  Test
	task.segmentedSieve(100, 200)
	task.segmentedSieve(999, 1200)

if __name__ == "__main__": main()

Output

 Prime number in range of ( 100 , 200 )
   101   103   107   109   113   127   131   137   139   149   151   157   163   167   173   179   181   191   193   197   199
 Prime number in range of ( 999 , 1200 )
   1009   1013   1019   1021   1031   1033   1039   1049   1051   1061   1063   1069   1087   1091   1093   1097   1103   1109   1117   1123   1129   1151   1153   1163   1171   1181   1187   1193
#  Ruby program for
#  Find the prime numbers between given range using 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(s, e) 
		if (s < 0 || e < 2) 
			return
		end

		print("\n Prime number in range of (", s ,",", e ,")", "\n")
		prime = []
		#  Get the initial prime number by given e
		limit = (Math.sqrt(e).floor() + 1)
		#  Starting value
		low = s
		high = (limit) + s
		value = 0
		#  Container which is used to detect (√e) prime element
		mark = Array.new(limit + 1) {false}
		#  Find first (√e) prime number 
		self.eratosthenesSieve(prime, limit)
		i = 0
		while (i < prime.length) 
			if (prime[i] >= s) 
				print("  ", prime[i])
			end

			i += 1
		end

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

			if (high >= e) 
				#  When next prime pair are greater than e
				#  Set high value to e
				high = e
			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()
	#  Test
	task.segmentedSieve(100, 200)
	task.segmentedSieve(999, 1200)
end

main()

Output

 Prime number in range of (100,200)
  101  103  107  109  113  127  131  137  139  149  151  157  163  167  173  179  181  191  193  197  199
 Prime number in range of (999,1200)
  1009  1013  1019  1021  1031  1033  1039  1049  1051  1061  1063  1069  1087  1091  1093  1097  1103  1109  1117  1123  1129  1151  1153  1163  1171  1181  1187  1193
import scala.collection.mutable._;
// Scala program for
// Find the prime numbers between given range using 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(s: Int, e: Int): Unit = {
		if (s < 0 || e < 2)
		{
			return;
		}
		println("\n Prime number in range of (" + s + "," + e + ")");
		var prime: ArrayBuffer[Int] = new ArrayBuffer[Int]();
		// Get the initial prime number by given e
		var limit: Int = (Math.floor(scala.math.sqrt(e)) + 1).toInt;
		// Starting value
		var low: Int = s;
		var high: Int = (limit) + s;
		var value: Int = 0;
		// Container which is used to detect (√e) prime element
		var mark: Array[Boolean] = Array.fill[Boolean](limit + 1)(false);
		// Find first (√e) prime number 
		eratosthenesSieve(prime, limit);
		var i: Int = 0;
		while (i < prime.size)
		{
			if (prime(i) >= s)
			{
				print("  " + prime(i));
			}
			i += 1;
		}
		// This loop displays the remaining prime number between (√e .. e)
		while (low < e)
		{
			i = 0;
			// Set next (√e) prime number is valid
			while (i <= limit)
			{
				mark(i) = true;
				i += 1;
			}
			if (high >= e)
			{
				// When next prime pair are greater than e
				// Set high value to e
				high = e;
			}
			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();
		// Test
		task.segmentedSieve(100, 200);
		task.segmentedSieve(999, 1200);
	}
}

Output

 Prime number in range of (100,200)
  101  103  107  109  113  127  131  137  139  149  151  157  163  167  173  179  181  191  193  197  199
 Prime number in range of (999,1200)
  1009  1013  1019  1021  1031  1033  1039  1049  1051  1061  1063  1069  1087  1091  1093  1097  1103  1109  1117  1123  1129  1151  1153  1163  1171  1181  1187  1193
import Foundation;
// Swift 4 program for
// Find the prime numbers between given range using 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(_ s: Int, _ e: Int)
	{
		if (s < 0 || e < 2)
		{
			return;
		}
		print("\n Prime number in range of (", s ,",", e ,")");
		var prime: [Int] = [Int]();
		// Get the initial prime number by given e
		let limit: Int = Int((floor(Double(e).squareRoot()) + 1));
		// Starting value
		var low: Int = s;
		var high: Int = (limit) + s;
		var value: Int = 0;
		// Container which is used to detect (√e) prime element
		var mark: [Bool] = Array(repeating: false, count: limit + 1);
		// Find first (√e) prime number 
		self.eratosthenesSieve(&prime, limit);
		var i: Int = 0;
		while (i < prime.count)
		{
			if (prime[i] >= s)
			{
				print("  ", prime[i], terminator: "");
			}
			i += 1;
		}
		// This loop displays the remaining prime number between (√e .. e)
		while (low < e)
		{
			i = 0;
			// Set next (√e) prime number is valid
			while (i <= limit)
			{
				mark[i] = true;
				i += 1;
			}
			if (high >= e)
			{
				// When next prime pair are greater than e
				// Set high value to e
				high = e;
			}
			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();
	// Test
	task.segmentedSieve(100, 200);
	task.segmentedSieve(999, 1200);
}
main();

Output

 Prime number in range of ( 100 , 200 )
   101   103   107   109   113   127   131   137   139   149   151   157   163   167   173   179   181   191   193   197   199
 Prime number in range of ( 999 , 1200 )
   1009   1013   1019   1021   1031   1033   1039   1049   1051   1061   1063   1069   1087   1091   1093   1097   1103   1109   1117   1123   1129   1151   1153   1163   1171   1181   1187   1193
// Kotlin program for
// Find the prime numbers between given range using 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(s: Int, e: Int): Unit
	{
		if (s < 0 || e < 2)
		{
			return;
		}
		println("\n Prime number in range of (" + s + "," + e + ")");
		var prime: MutableList < Int > = mutableListOf < Int > ();
		// Get the initial prime number by given e
		val limit: Int = (Math.floor(Math.sqrt(e.toDouble())) + 1.0).toInt();
		// Starting value
		var low: Int = s;
		var high: Int = (limit) + s;
		var value: Int ;
		// Container which is used to detect (√e) prime element
		val mark: Array < Boolean > = Array(limit + 1)
		{
			false
		};
		// Find first (√e) prime number 
		this.eratosthenesSieve(prime, limit);
		var i: Int = 0;
		while (i < prime.size)
		{
			if (prime[i] >= s)
			{
				print("  " + prime[i]);
			}
			i += 1;
		}
		// This loop displays the remaining prime number between (√e .. e)
		while (low < e)
		{
			i = 0;
			// Set next (√e) prime number is valid
			while (i <= limit)
			{
				mark[i] = true;
				i += 1;
			}
			if (high >= e)
			{
				// When next prime pair are greater than e
				// Set high value to e
				high = e;
			}
			i = 0;
			while (i < prime.size)
			{
				value = (Math.floor(
                  (low / prime[i]).toDouble()
                ) * 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();
	// Test
	task.segmentedSieve(100, 200);
	task.segmentedSieve(999, 1200);
}

Output

 Prime number in range of (100,200)
  101  103  107  109  113  127  131  137  139  149  151  157  163  167  173  179  181  191  193  197  199
 Prime number in range of (999,1200)
  1009  1013  1019  1021  1031  1033  1039  1049  1051  1061  1063  1069  1087  1091  1093  1097  1103  1109  1117  1123  1129  1151  1153  1163  1171  1181  1187  1193
Last updated on by Kalkicode




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