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Sieve of eratosthenes

Here given code implementation process.

// C Program
// Print prime number by using
// Sieve of eratosthenes
#include <stdio.h>

//Find all prime numbers which have smaller and equal to given number n
void sieve_of_eratosthenes(int n)
{
	if (n <= 1)
	{
		//When n are invalid to prime number 
		return;
	}
	//this are used to detect prime numbers
	int prime[n + 1];
	// Loop controlling variables
	int i;
	int j;
	// Initial two numbers are not prime (0 and 1)
	prime[0] = 0;
	prime[1] = 0;
	// Set the initial (2 to n element is prime)
	for (i = 2; i <= n; ++i)
	{
		prime[i] = 1;
	}
	// Initial 0 and 1 are not prime
	// We start to 2
	for (i = 2; i * i <= n; ++i)
	{
		if (prime[i] == 1)
		{
			//When i is prime number
			//Modify the prime status of all next multiplier of location i
			for (j = i * i; j <= n; j += i)
			{
				prime[j] = 0;
			}
		}
	}
	printf("\n All prime of (2 - %d) is :  \n [", n);
	//Display prime element
	for (i = 0; i <= n; ++i)
	{
		if (prime[i] == 1)
		{
			printf("  %d", i);
		}
	}
	printf("  ]\n");
}
int main()
{
	//Test Case
	sieve_of_eratosthenes(25);
	sieve_of_eratosthenes(100);
	sieve_of_eratosthenes(200);
	return 0;
}

Output

 All prime of (2 - 25) is :
 [  2  3  5  7  11  13  17  19  23  ]

 All prime of (2 - 100) is :
 [  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  ]

 All prime of (2 - 200) is :
 [  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  101  103  107  109  113  127  131  137  139  149  151  157  163  167  173  179  181  191  193  197  199  ]
// Java Program
// Print prime number by using
// Sieve of eratosthenes
public class SieveOfEratosthenes
{
	//Find all prime numbers which have smaller and equal to given number n
	public void sieve_of_eratosthenes(int n)
	{
		if (n <= 1)
		{
			//When n are invalid to prime number 
			return;
		}
		//this are used to detect prime numbers
		boolean[] prime = new boolean[n + 1];
		// Loop controlling variables
		int i;
		int j;
		// Initial two numbers are not prime (0 and 1)
		prime[0] = false;
		prime[1] = false;
		// Set the initial (2 to n element is prime)
		for (i = 2; i <= n; ++i)
		{
			prime[i] = true;
		}
		// Initial 0 and 1 are not prime
		// We start to 2
		for (i = 2; i * i <= n; ++i)
		{
			if (prime[i] == true)
			{
				//When i is prime number
				//Modify the prime status of all next multiplier of location i
				for (j = i * i; j <= n; j += i)
				{
					prime[j] = false;
				}
			}
		}
		System.out.print("\n All prime of (2 - " + n + ") is : \n [");
		//Display prime element
		for (i = 0; i <= n; ++i)
		{
			if (prime[i] == true)
			{
				System.out.print("  " + i);
			}
		}
		System.out.print(" ]\n");
	}
	public static void main(String[] args)
	{
		SieveOfEratosthenes obj = new SieveOfEratosthenes();
		//Test Case
		obj.sieve_of_eratosthenes(25);
		obj.sieve_of_eratosthenes(100);
		obj.sieve_of_eratosthenes(200);
	}
}

Output

 All prime of (2 - 25) is :
 [  2  3  5  7  11  13  17  19  23 ]

 All prime of (2 - 100) is :
 [  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 ]

 All prime of (2 - 200) is :
 [  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  101  103  107  109  113  127  131  137  139  149  151  157  163  167  173  179  181  191  193  197  199 ]
//Include header file
#include <iostream>
using namespace std;

// C++ Program
// Print prime number by using
// Sieve of eratosthenes

class SieveOfEratosthenes
{
	public:
		//Find all prime numbers which have smaller and equal to given number n
		void sieve_of_eratosthenes(int n)
		{
			if (n <= 1)
			{
				//When n are invalid to prime number 
				return;
			}
			//this are used to detect prime numbers
			bool prime[n + 1];
			// Loop controlling variables
			int i;
			int j;
			// Initial two numbers are not prime (0 and 1)
			prime[0] = false;
			prime[1] = false;
			// Set the initial (2 to n element is prime)
			for (i = 2; i <= n; ++i)
			{
				prime[i] = true;
			}
			// Initial 0 and 1 are not prime
			// We start to 2
			for (i = 2; i *i <= n; ++i)
			{
				if (prime[i] == true)
				{
					//When i is prime number
					//Modify the prime status of all next multiplier of location i
					for (j = i *i; j <= n; j += i)
					{
						prime[j] = false;
					}
				}
			}
			cout << "\n All prime of (2 - " << n << ") is : \n [";
			//Display prime element
			for (i = 0; i <= n; ++i)
			{
				if (prime[i] == true)
				{
					cout << "  " << i;
				}
			}
			cout << " ]\n";
		}
};
int main()
{
	SieveOfEratosthenes obj = SieveOfEratosthenes();
	//Test Case
	obj.sieve_of_eratosthenes(25);
	obj.sieve_of_eratosthenes(100);
	obj.sieve_of_eratosthenes(200);
	return 0;
}

Output

 All prime of (2 - 25) is :
 [  2  3  5  7  11  13  17  19  23 ]

 All prime of (2 - 100) is :
 [  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 ]

 All prime of (2 - 200) is :
 [  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  101  103  107  109  113  127  131  137  139  149  151  157  163  167  173  179  181  191  193  197  199 ]
//Include namespace system
using System;

// C# Program
// Print prime number by using
// Sieve of eratosthenes

public class SieveOfEratosthenes
{
	//Find all prime numbers which have smaller and equal to given number n
	public void sieve_of_eratosthenes(int n)
	{
		if (n <= 1)
		{
			//When n are invalid to prime number 
			return;
		}
		//this are used to detect prime numbers
		Boolean[] prime = new Boolean[n + 1];
		// Loop controlling variables
		int i;
		int j;
		// Initial two numbers are not prime (0 and 1)
		prime[0] = false;
		prime[1] = false;
		// Set the initial (2 to n element is prime)
		for (i = 2; i <= n; ++i)
		{
			prime[i] = true;
		}
		// Initial 0 and 1 are not prime
		// We start to 2
		for (i = 2; i * i <= n; ++i)
		{
			if (prime[i] == true)
			{
				//When i is prime number
				//Modify the prime status of all next multiplier of location i
				for (j = i * i; j <= n; j += i)
				{
					prime[j] = false;
				}
			}
		}
		Console.Write("\n All prime of (2 - " + n + ") is : \n [");
		//Display prime element
		for (i = 0; i <= n; ++i)
		{
			if (prime[i] == true)
			{
				Console.Write("  " + i);
			}
		}
		Console.Write(" ]\n");
	}
	public static void Main(String[] args)
	{
		SieveOfEratosthenes obj = new SieveOfEratosthenes();
		//Test Case
		obj.sieve_of_eratosthenes(25);
		obj.sieve_of_eratosthenes(100);
		obj.sieve_of_eratosthenes(200);
	}
}

Output

 All prime of (2 - 25) is :
 [  2  3  5  7  11  13  17  19  23 ]

 All prime of (2 - 100) is :
 [  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 ]

 All prime of (2 - 200) is :
 [  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  101  103  107  109  113  127  131  137  139  149  151  157  163  167  173  179  181  191  193  197  199 ]
<?php
// Php Program
// Print prime number by using
// Sieve of eratosthenes
class SieveOfEratosthenes
{
	//Find all prime numbers which have smaller and equal to given number n
	public	function sieve_of_eratosthenes($n)
	{
		if ($n <= 1)
		{
			//When n are invalid to prime number 
			return;
		}
		// This are used to detect prime numbers
        // Set the n all numbers is prime
		$prime = array_fill(0, $n + 1, true);
		// Loop controlling variables
		$i = 0;
		$j = 0;
		// Initial two numbers are not prime (0 and 1)
		$prime[0] = false;
		$prime[1] = false;
		
		// Initial 0 and 1 are not prime
		// We start to 2
		for ($i = 2; $i * $i <= $n; ++$i)
		{
			if ($prime[$i] == true)
			{
				//When i is prime number
				//Modify the prime status of all next multiplier of location i
				for ($j = $i * $i; $j <= $n; $j += $i)
				{
					$prime[$j] = false;
				}
			}
		}
		echo "\n All prime of (2 - ". $n .") is : \n [";
		//Display prime element
		for ($i = 0; $i <= $n; ++$i)
		{
			if ($prime[$i] == true)
			{
				echo "  ". $i;
			}
		}
		echo " ]\n";
	}
}

function main()
{
	$obj = new SieveOfEratosthenes();
	//Test Case
	$obj->sieve_of_eratosthenes(25);
	$obj->sieve_of_eratosthenes(100);
	$obj->sieve_of_eratosthenes(200);
}
main();

Output

 All prime of (2 - 25) is :
 [  2  3  5  7  11  13  17  19  23 ]

 All prime of (2 - 100) is :
 [  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 ]

 All prime of (2 - 200) is :
 [  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  101  103  107  109  113  127  131  137  139  149  151  157  163  167  173  179  181  191  193  197  199 ]
// Node Js Program
// Print prime number by using
// Sieve of eratosthenes
class SieveOfEratosthenes
{
	//Find all prime numbers which have smaller and equal to given number n
	sieve_of_eratosthenes(n)
	{
		if (n <= 1)
		{
			//When n are invalid to prime number 
			return;
		}
		// This are used to detect prime numbers
		// Set the n all numbers is prime
		var prime = Array(n + 1).fill(true);
		// Loop controlling variables
		var i = 0;
		var j = 0;
		// Initial two numbers are not prime (0 and 1)
		prime[0] = false;
		prime[1] = false;
	
		// Initial 0 and 1 are not prime
		// We start to 2
		for (i = 2; i * i <= n; ++i)
		{
			if (prime[i] == true)
			{
				//When i is prime number
				//Modify the prime status of all next multiplier of location i
				for (j = i * i; j <= n; j += i)
				{
					prime[j] = false;
				}
			}
		}
		process.stdout.write("\n All prime of (2 - " + n + ") is : \n [");
		//Display prime element
		for (i = 0; i <= n; ++i)
		{
			if (prime[i] == true)
			{
				process.stdout.write("  " + i);
			}
		}
		process.stdout.write(" ]\n");
	}
}

function main()
{
	var obj = new SieveOfEratosthenes();
	//Test Case
	obj.sieve_of_eratosthenes(25);
	obj.sieve_of_eratosthenes(100);
	obj.sieve_of_eratosthenes(200);
}
main();

Output

 All prime of (2 - 25) is :
 [  2  3  5  7  11  13  17  19  23 ]

 All prime of (2 - 100) is :
 [  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 ]

 All prime of (2 - 200) is :
 [  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  101  103  107  109  113  127  131  137  139  149  151  157  163  167  173  179  181  191  193  197  199 ]
#  Python 3 Program
#  Print prime number by using
#  Sieve of eratosthenes
class SieveOfEratosthenes :
	# Find all prime numbers which have smaller and equal to given number n
	def sieve_of_eratosthenes(self, n) :
		if (n <= 1) :
			# When n are invalid to prime number 
			return
		
		#  This are used to detect prime numbers
		#  Set the n all numbers is prime
		prime = [True] * (n + 1)
		#  Loop controlling variables
		i = 0
		j = 0
		#  Initial two numbers are not prime (0 and 1)
		prime[0] = False
		prime[1] = False

		#  We start to 2
		i = 2
		while (i * i <= n) :
			if (prime[i] == True) :
				# When i is prime number
				# Modify the prime status of all next multiplier of location i
				j = i * i
				while (j <= n) :
					prime[j] = False
					j += i
				
			
			i += 1
		
		print("\n All prime of (2 - ", n ,") is : \n [", end = "")
		# Display prime element
		i = 0
		while (i <= n) :
			if (prime[i] == True) :
				print("  ", i, end = "")
			
			i += 1
		
		print(" ]\n", end = "")
	

def main() :
	obj = SieveOfEratosthenes()
	# Test Case
	obj.sieve_of_eratosthenes(25)
	obj.sieve_of_eratosthenes(100)
	obj.sieve_of_eratosthenes(200)

if __name__ == "__main__": main()

Output

 All prime of (2 -  25 ) is :
 [   2   3   5   7   11   13   17   19   23 ]

 All prime of (2 -  100 ) is :
 [   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 ]

 All prime of (2 -  200 ) is :
 [   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   101   103   107   109   113   127   131   137   139   149   151   157   163   167   173   179   181   191   193   197   199 ]
#  Ruby Program
#  Print prime number by using
#  Sieve of eratosthenes
class SieveOfEratosthenes

	# Find all prime numbers which have smaller and equal to given number n
	def sieve_of_eratosthenes(n)
	
		if (n <= 1)
		
			# When n are invalid to prime number 
			return
		end
		#  This are used to detect prime numbers
		#  Set the n all numbers is prime
		prime = Array.new(n + 1) {true}
		#  Loop controlling variables
		i = 0
		j = 0
		#  Initial two numbers are not prime (0 and 1)
		prime[0] = false
		prime[1] = false
		#  We start to 2
		i = 2
		while (i * i <= n)
		
			if (prime[i] == true)
			
				# When i is prime number
				# Modify the prime status of all next multiplier of location i
				j = i * i
				while (j <= n)
				
					prime[j] = false
					j += i
				end
			end
			i += 1
		end
		print("\n All prime of (2 - ", n ,") is : \n [")
		# Display prime element
		i = 0
		while (i <= n)
		
			if (prime[i] == true)
			
				print("  ", i)
			end
			i += 1
		end
		print(" ]\n")
	end
end
def main()

	obj = SieveOfEratosthenes.new()
	# Test Case
	obj.sieve_of_eratosthenes(25)
	obj.sieve_of_eratosthenes(100)
	obj.sieve_of_eratosthenes(200)
end
main()

Output

 All prime of (2 - 25) is : 
 [  2  3  5  7  11  13  17  19  23 ]

 All prime of (2 - 100) is : 
 [  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 ]

 All prime of (2 - 200) is : 
 [  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  101  103  107  109  113  127  131  137  139  149  151  157  163  167  173  179  181  191  193  197  199 ]

// Scala Program
// Print prime number by using
// Sieve of eratosthenes
class SieveOfEratosthenes
{
	//Find all prime numbers which have smaller and equal to given number n
	def sieve_of_eratosthenes(n: Int): Unit = {
		if (n <= 1)
		{
			//When n are invalid to prime number 
			return;
		}
		// This are used to detect prime numbers
		// Set the n all numbers is prime
		var prime: Array[Boolean] = Array.fill[Boolean](n + 1)(true);
		// Loop controlling variables
		var i: Int = 0;
		var j: Int = 0;
		// Initial two numbers are not prime (0 and 1)
		prime(0) = false;
		prime(1) = false;
	
		// We start to 2
		i = 2;
		while (i * i <= n)
		{
			if (prime(i) == true)
			{
				//When i is prime number
				//Modify the prime status of all next multiplier of location i
				j = i * i;
				while (j <= n)
				{
					prime(j) = false;
					j += i;
				}
			}
			i += 1;
		}
		print("\n All prime of (2 - " + n + ") is : \n [");
		//Display prime element
		i = 0;
		while (i <= n)
		{
			if (prime(i) == true)
			{
				print("  " + i);
			}
			i += 1;
		}
		print(" ]\n");
	}
}
object Main
{
	def main(args: Array[String]): Unit = {
		var obj: SieveOfEratosthenes = new SieveOfEratosthenes();
		//Test Case
		obj.sieve_of_eratosthenes(25);
		obj.sieve_of_eratosthenes(100);
		obj.sieve_of_eratosthenes(200);
	}
}

Output

 All prime of (2 - 25) is :
 [  2  3  5  7  11  13  17  19  23 ]

 All prime of (2 - 100) is :
 [  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 ]

 All prime of (2 - 200) is :
 [  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  101  103  107  109  113  127  131  137  139  149  151  157  163  167  173  179  181  191  193  197  199 ]
// Swift Program
// Print prime number by using
// Sieve of eratosthenes
class SieveOfEratosthenes
{
	//Find all prime numbers which have smaller and equal to given number n
	func sieve_of_eratosthenes(_ n: Int)
	{
		if (n <= 1)
		{
			//When n are invalid to prime number 
			return;
		}
		// This are used to detect prime numbers
		// Set the n all numbers is prime
		var prime: [Bool] = Array(repeating: true, count: n + 1);
		// Loop controlling variables
		var i: Int = 0;
		var j: Int = 0;
		// Initial two numbers are not prime (0 and 1)
		prime[0] = false;
		prime[1] = false;

		// We start to 2
		i = 2;
		while (i * i <= n)
		{
			if (prime[i] == true)
			{
				//When i is prime number
				//Modify the prime status of all next multiplier of location i
				j = i * i;
				while (j <= n)
				{
					prime[j] = false;
					j += i;
				}
			}
			i += 1;
		}
		print("\n All prime of (2 - ", n ,") is : \n [", terminator: "");
		//Display prime element
		i = 0;
		while (i <= n)
		{
			if (prime[i] == true)
			{
				print("  ", i, terminator: "");
			}
			i += 1;
		}
		print(" ]\n", terminator: "");
	}
}
func main()
{
	let obj: SieveOfEratosthenes = SieveOfEratosthenes();
	//Test Case
	obj.sieve_of_eratosthenes(25);
	obj.sieve_of_eratosthenes(100);
	obj.sieve_of_eratosthenes(200);
}
main();

Output

 All prime of (2 -  25 ) is :
 [   2   3   5   7   11   13   17   19   23 ]

 All prime of (2 -  100 ) is :
 [   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 ]

 All prime of (2 -  200 ) is :
 [   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   101   103   107   109   113   127   131   137   139   149   151   157   163   167   173   179   181   191   193   197   199 ]
Last updated on by Kalkicode




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