Check if a number is primorial prime or not

Here given code implementation process.

// C program
// Check if a number is Primorial Prime or not
#include <stdio.h>

#define SIZE 1000001
//Check whether number is Primorial Prime or not
void is_primorial_prime(int collection[], int num)
{
    //indicating the status of result prime number
    int status = 0;
    //Check that given number is greater than one and number is prime
    if (num > 1 && collection[num] == 1)
    {
        int product = 1;
        int i = 2;
        while (status == 0 && i <= num && product <= num + 1)
        {
            if (collection[i] == 1)
            {
                //When i is prime
                if (product + 1 == num || product - 1 == num)
                {
                    status = 1;
                }
                else
                {
                    product *= i;
                }
            }
            i++;
        }
    }
    if (status == 1)
    {
        printf("\n [%d] Is Primorial Prime", num);
    }
    else
    {
        printf("\n [%d] Is Not Primorial Prime", num);
    }
}
//Find all prime numbers under 1000001 
void sieve_of_eratosthenes(int collection[])
{
    // Loop controlling variables
    int i = 0;
    int j = 1;
    // Initial two numbers are not prime (0 and 1)
    collection[i] = 0;
    collection[j] = 0;
    // Set the initial (2 to n element is prime)
    for (i = 2; i < SIZE; ++i)
    {
        collection[i] = 1;
    }
    // Initial 0 and 1 are not prime
    // We start to 2
    for (i = 2; i * i < SIZE; ++i)
    {
        if (collection[i] == 1)
        {
            //When i is prime number
            //Modify the prime status of all next multiplier of location i
            for (j = i * i; j < SIZE; j += i)
            {
                collection[j] = 0;
            }
        }
    }
}
int main()
{
    //This is used to store prime number status
    int collection[SIZE];
    //Find find prime number
    sieve_of_eratosthenes(collection);
    //Test case
    is_primorial_prime(collection, 7);
    is_primorial_prime(collection, 107);
    is_primorial_prime(collection, 13);
    is_primorial_prime(collection, 1319);
    is_primorial_prime(collection, 211);
    is_primorial_prime(collection, 373);
    is_primorial_prime(collection, 29);
    return 0;
}

Output

 [7] Is Primorial Prime
 [107] Is Not Primorial Prime
 [13] Is Not Primorial Prime
 [1319] Is Not Primorial Prime
 [211] Is Primorial Prime
 [373] Is Not Primorial Prime
 [29] Is Primorial Prime
// Java program 
// Check if a number is primorial prime or not
class PrimorialPrime
{
    //Check whether number is Primorial Prime or not
    public void is_primorial_prime(boolean[] collection, int num)
    {
        //indicating the status of result prime number
        boolean status = false;
        //Check that given number is greater than one and number is prime
        if (num > 1 && collection[num] == true)
        {
            int product = 1;
            int i = 2;
            while (status == false && i <= num && product <= num + 1)
            {
                if (collection[i] == true)
                {
                    //When i is prime
                    if (product + 1 == num || product - 1 == num)
                    {
                        status = true;
                    }
                    else
                    {
                        product *= i;
                    }
                }
                i++;
            }
        }
        if (status == true)
        {
            System.out.print("\n [" + num + "] Is Primorial Prime");
        }
        else
        {
            System.out.print("\n [" + num + "] Is Not Primorial Prime");
        }
    }
    //Find all prime numbers under 1000001 
    public void sieve_of_eratosthenes(boolean[] collection, int size)
    {
        // Loop controlling variables
        int i = 0;
        int j = 1;
        // Initial two numbers are not prime (0 and 1)
        collection[i] = false;
        collection[j] = false;
        // Set the initial (2 to n element is prime)
        for (i = 2; i < size; ++i)
        {
            collection[i] = true;
        }
        // Initial 0 and 1 are not prime
        // We start to 2
        for (i = 2; i * i < size; ++i)
        {
            if (collection[i] == true)
            {
                //When i is prime number
                //Modify the prime status of all next multiplier of location i
                for (j = i * i; j < size; j += i)
                {
                    collection[j] = false;
                }
            }
        }
    }
    public static void main(String []args)
    {
        PrimorialPrime obj = new PrimorialPrime();
        int size = 1000001;
        //This is used to store prime number status
        boolean[] collection = new boolean[size];
        //Find find prime number
        obj.sieve_of_eratosthenes(collection, size);
        //Test case
        obj.is_primorial_prime(collection, 7);
        obj.is_primorial_prime(collection, 107);
        obj.is_primorial_prime(collection, 13);
        obj.is_primorial_prime(collection, 1319);
        obj.is_primorial_prime(collection, 211);
        obj.is_primorial_prime(collection, 373);
        obj.is_primorial_prime(collection, 29);
    }
}

Output

 [7] Is Primorial Prime
 [107] Is Not Primorial Prime
 [13] Is Not Primorial Prime
 [1319] Is Not Primorial Prime
 [211] Is Primorial Prime
 [373] Is Not Primorial Prime
 [29] Is Primorial Prime
//Include header file
#include <iostream>

using namespace std;
// C++ program 
// Check if a number is primorial prime or not
class PrimorialPrime
{
	public:
		//Check whether number is Primorial Prime or not
		void is_primorial_prime(bool collection[], int num)
		{
			//indicating the status of result prime number
			bool status = false;
			//Check that given number is greater than one and number is prime
			if (num > 1 && collection[num] == true)
			{
				int product = 1;
				int i = 2;
				while (status == false && i <= num && product <= num + 1)
				{
					if (collection[i] == true)
					{
						//When i is prime
						if (product + 1 == num || product - 1 == num)
						{
							status = true;
						}
						else
						{
							product *= i;
						}
					}
					i++;
				}
			}
			if (status == true)
			{
				cout << "\n [" << num << "] Is Primorial Prime";
			}
			else
			{
				cout << "\n [" << num << "] Is Not Primorial Prime";
			}
		}
	//Find all prime numbers under 1000001 
	void sieve_of_eratosthenes(bool collection[], int size)
	{
		// Loop controlling variables
		int i = 0;
		int j = 1;
		// Initial two numbers are not prime (0 and 1)
		collection[i] = false;
		collection[j] = false;
		// Set the initial (2 to n element is prime)
		for (i = 2; i < size; ++i)
		{
			collection[i] = true;
		}
		// Initial 0 and 1 are not prime
		// We start to 2
		for (i = 2; i *i < size; ++i)
		{
			if (collection[i] == true)
			{
				//When i is prime number
				//Modify the prime status of all next multiplier of location i
				for (j = i *i; j < size; j += i)
				{
					collection[j] = false;
				}
			}
		}
	}
};
int main()
{
	PrimorialPrime obj = PrimorialPrime();
	int size = 1000001;
	//This is used to store prime number status
	bool collection[size];
	//Find find prime number
	obj.sieve_of_eratosthenes(collection, size);
	//Test case
	obj.is_primorial_prime(collection, 7);
	obj.is_primorial_prime(collection, 107);
	obj.is_primorial_prime(collection, 13);
	obj.is_primorial_prime(collection, 1319);
	obj.is_primorial_prime(collection, 211);
	obj.is_primorial_prime(collection, 373);
	obj.is_primorial_prime(collection, 29);
	return 0;
}

Output

 [7] Is Primorial Prime
 [107] Is Not Primorial Prime
 [13] Is Not Primorial Prime
 [1319] Is Not Primorial Prime
 [211] Is Primorial Prime
 [373] Is Not Primorial Prime
 [29] Is Primorial Prime
//Include namespace system
using System;

// C# program 
// Check if a number is primorial prime or not

class PrimorialPrime
{
	//Check whether number is Primorial Prime or not
	public void is_primorial_prime(Boolean[] collection, int num)
	{
		//indicating the status of result prime number
		Boolean status = false;
		//Check that given number is greater than one and number is prime
		if (num > 1 && collection[num] == true)
		{
			int product = 1;
			int i = 2;
			while (status == false && i <= num && product <= num + 1)
			{
				if (collection[i] == true)
				{
					//When i is prime
					if (product + 1 == num || product - 1 == num)
					{
						status = true;
					}
					else
					{
						product *= i;
					}
				}
				i++;
			}
		}
		if (status == true)
		{
			Console.Write("\n [" + num + "] Is Primorial Prime");
		}
		else
		{
			Console.Write("\n [" + num + "] Is Not Primorial Prime");
		}
	}
	//Find all prime numbers under 1000001 
	public void sieve_of_eratosthenes(Boolean[] collection, int size)
	{
		// Loop controlling variables
		int i = 0;
		int j = 1;
		// Initial two numbers are not prime (0 and 1)
		collection[i] = false;
		collection[j] = false;
		// Set the initial (2 to n element is prime)
		for (i = 2; i < size; ++i)
		{
			collection[i] = true;
		}
		// Initial 0 and 1 are not prime
		// We start to 2
		for (i = 2; i * i < size; ++i)
		{
			if (collection[i] == true)
			{
				//When i is prime number
				//Modify the prime status of all next multiplier of location i
				for (j = i * i; j < size; j += i)
				{
					collection[j] = false;
				}
			}
		}
	}
	public static void Main(String[] args)
	{
		PrimorialPrime obj = new PrimorialPrime();
		int size = 1000001;
		//This is used to store prime number status
		Boolean[] collection = new Boolean[size];
		//Find find prime number
		obj.sieve_of_eratosthenes(collection, size);
		//Test case
		obj.is_primorial_prime(collection, 7);
		obj.is_primorial_prime(collection, 107);
		obj.is_primorial_prime(collection, 13);
		obj.is_primorial_prime(collection, 1319);
		obj.is_primorial_prime(collection, 211);
		obj.is_primorial_prime(collection, 373);
		obj.is_primorial_prime(collection, 29);
	}
}

Output

 [7] Is Primorial Prime
 [107] Is Not Primorial Prime
 [13] Is Not Primorial Prime
 [1319] Is Not Primorial Prime
 [211] Is Primorial Prime
 [373] Is Not Primorial Prime
 [29] Is Primorial Prime
<?php
// Php porgram 
// Check if a number is primorial prime or not
class PrimorialPrime
{
    //Check whether number is Primorial Prime or not
    public  function is_primorial_prime( & $collection, $num)
    {
        //indicating the status of result prime number
        $status = false;
        //Check that given number is greater than one and number is prime
        if ($num > 1 && $collection[$num] == true)
        {
            $product = 1;
            $i = 2;
            while ($status == false && $i <= $num && $product <= $num + 1)
            {
                if ($collection[$i] == true)
                {
                    //When i is prime
                    if ($product + 1 == $num || $product - 1 == $num)
                    {
                        $status = true;
                    }
                    else
                    {
                        $product *= $i;
                    }
                }
                $i++;
            }
        }
        if ($status == true)
        {
            echo "\n [". $num ."] Is Primorial Prime";
        }
        else
        {
            echo "\n [". $num ."] Is Not Primorial Prime";
        }
    }
    //Find all prime numbers under 1000001 
    public  function sieve_of_eratosthenes( & $collection, $size)
    {
        // Loop controlling variables
        $i = 0;
        $j = 1;
        // Initial two numbers are not prime (0 and 1)
        $collection[$i] = false;
        $collection[$j] = false;
        // Initial 0 and 1 are not prime
        // We start to 2
        for ($i = 2; $i * $i < $size; ++$i)
        {
            if ($collection[$i] == true)
            {
                //When i is prime number
                //Modify the prime status of all next multiplier of location i
                for ($j = $i * $i; $j < $size; $j += $i)
                {
                    $collection[$j] = false;
                }
            }
        }
    }
}

function main()
{
    $obj = new PrimorialPrime();
    $size = 1000001;
    //This is used to store prime number status
    $collection = array_fill(0, $size, true);
    //Find find prime number
    $obj->sieve_of_eratosthenes($collection, $size);
    //Test case
    $obj->is_primorial_prime($collection, 7);
    $obj->is_primorial_prime($collection, 107);
    $obj->is_primorial_prime($collection, 13);
    $obj->is_primorial_prime($collection, 1319);
    $obj->is_primorial_prime($collection, 211);
    $obj->is_primorial_prime($collection, 373);
    $obj->is_primorial_prime($collection, 29);
}
main();

Output

 [7] Is Primorial Prime
 [107] Is Not Primorial Prime
 [13] Is Not Primorial Prime
 [1319] Is Not Primorial Prime
 [211] Is Primorial Prime
 [373] Is Not Primorial Prime
 [29] Is Primorial Prime
// Node Js program 
// Check if a number is primorial prime or not
class PrimorialPrime
{
	//Check whether number is Primorial Prime or not
	is_primorial_prime(collection, num)
	{
		//indicating the status of result prime number
		var status = false;
		//Check that given number is greater than one and number is prime
		if (num > 1 && collection[num] == true)
		{
			var product = 1;
			var i = 2;
			while (status == false && i <= num && product <= num + 1)
			{
				if (collection[i] == true)
				{
					//When i is prime
					if (product + 1 == num || product - 1 == num)
					{
						status = true;
					}
					else
					{
						product *= i;
					}
				}
				i++;
			}
		}
		if (status == true)
		{
			process.stdout.write("\n [" + num + "] Is Primorial Prime");
		}
		else
		{
			process.stdout.write("\n [" + num + "] Is Not Primorial Prime");
		}
	}
	//Find all prime numbers under 1000001 
	sieve_of_eratosthenes(collection, size)
	{
		// Loop controlling variables
		var i = 0;
		var j = 1;
		// Initial two numbers are not prime (0 and 1)
		collection[i] = false;
		collection[j] = false;
		// Set the initial (2 to n element is prime)
		for (i = 2; i < size; ++i)
		{
			collection[i] = true;
		}
		// Initial 0 and 1 are not prime
		// We start to 2
		for (i = 2; i * i < size; ++i)
		{
			if (collection[i] == true)
			{
				//When i is prime number
				//Modify the prime status of all next multiplier of location i
				for (j = i * i; j < size; j += i)
				{
					collection[j] = false;
				}
			}
		}
	}
}

function main()
{
	var obj = new PrimorialPrime();
	var size = 1000001;
	//This is used to store prime number status
	var collection = Array(size).fill(false);
	//Find find prime number
	obj.sieve_of_eratosthenes(collection, size);
	//Test case
	obj.is_primorial_prime(collection, 7);
	obj.is_primorial_prime(collection, 107);
	obj.is_primorial_prime(collection, 13);
	obj.is_primorial_prime(collection, 1319);
	obj.is_primorial_prime(collection, 211);
	obj.is_primorial_prime(collection, 373);
	obj.is_primorial_prime(collection, 29);
}
main();

Output

 [7] Is Primorial Prime
 [107] Is Not Primorial Prime
 [13] Is Not Primorial Prime
 [1319] Is Not Primorial Prime
 [211] Is Primorial Prime
 [373] Is Not Primorial Prime
 [29] Is Primorial Prime
#  Python 3 program 
#  Check if a number is primorial prime or not
class PrimorialPrime :
	# Check whether number is Primorial Prime or not
	def is_primorial_prime(self, collection, num) :
		# indicating the status of result prime number
		status = False
		# Check that given number is greater than one and number is prime
		if (num > 1 and collection[num] == True) :
			product = 1
			i = 2
			while (status == False and i <= num and product <= num + 1) :
				if (collection[i] == True) :
					# When i is prime
					if (product + 1 == num or product - 1 == num) :
						status = True
					else :
						product *= i
					
				
				i += 1
			
		
		if (status == True) :
			print("\n [{0}] Is Primorial Prime".format(num), end = "")
		else :
			print("\n [{0}] Is Not Primorial Prime".format(num), end = "")
		
	
	# Find all prime numbers under 1000001 
	def sieve_of_eratosthenes(self, collection, size) :
		#  Loop controlling variables
		i = 0
		j = 1
		#  Initial two numbers are not prime (0 and 1)
		collection[i] = False
		collection[j] = False
		#  Initial 0 and 1 are not prime
		#  We start to 2
		i = 2
		while (i * i < size) :
			if (collection[i] == True) :
				# When i is prime number
				# Modify the prime status of all next multiplier of location i
				j = i * i
				while (j < size) :
					collection[j] = False
					j += i
				
			
			i += 1
		
	

def main() :
	obj = PrimorialPrime()
	size = 1000001
	# This is used to store prime number status
	collection = [True] * (size)
	# Find find prime number
	obj.sieve_of_eratosthenes(collection, size)
	# Test case
	obj.is_primorial_prime(collection, 7)
	obj.is_primorial_prime(collection, 107)
	obj.is_primorial_prime(collection, 13)
	obj.is_primorial_prime(collection, 1319)
	obj.is_primorial_prime(collection, 211)
	obj.is_primorial_prime(collection, 373)
	obj.is_primorial_prime(collection, 29)

if __name__ == "__main__": main()

Output

 [7] Is Primorial Prime
 [107] Is Not Primorial Prime
 [13] Is Not Primorial Prime
 [1319] Is Not Primorial Prime
 [211] Is Primorial Prime
 [373] Is Not Primorial Prime
 [29] Is Primorial Prime
#  Ruby program 
#  Check if a number is primorial prime or not
class PrimorialPrime 
	# Check whether number is Primorial Prime or not
	def is_primorial_prime(collection, num) 
		# indicating the status of result prime number
		status = false
		# Check that given number is greater than one and number is prime
		if (num > 1 && collection[num] == true) 
			product = 1
			i = 2
			while (status == false && i <= num && product <= num + 1) 
				if (collection[i] == true) 
					# When i is prime
					if (product + 1 == num || product - 1 == num) 
						status = true
					else 
						product *= i
					end

				end

				i += 1
			end

		end

		if (status == true) 
			print("\n [", num ,"] Is Primorial Prime")
		else 
			print("\n [", num ,"] Is Not Primorial Prime")
		end

	end

	# Find all prime numbers under 1000001 
	def sieve_of_eratosthenes(collection, size) 
		#  Loop controlling variables
		i = 0
		j = 1
		#  Initial two numbers are not prime (0 and 1)
		collection[i] = false
		collection[j] = false
		#  Initial 0 and 1 are not prime
		#  We start to 2
		i = 2
		while (i * i < size) 
			if (collection[i] == true) 
				# When i is prime number
				# Modify the prime status of all next multiplier of location i
				j = i * i
				while (j < size) 
					collection[j] = false
					j += i
				end

			end

			i += 1
		end

	end

end

def main() 
	obj = PrimorialPrime.new()
	size = 1000001
	# This is used to store prime number status
	collection = Array.new(size) {true}
	# Find find prime number
	obj.sieve_of_eratosthenes(collection, size)
	# Test case
	obj.is_primorial_prime(collection, 7)
	obj.is_primorial_prime(collection, 107)
	obj.is_primorial_prime(collection, 13)
	obj.is_primorial_prime(collection, 1319)
	obj.is_primorial_prime(collection, 211)
	obj.is_primorial_prime(collection, 373)
	obj.is_primorial_prime(collection, 29)
end

main()

Output

 [7] Is Primorial Prime
 [107] Is Not Primorial Prime
 [13] Is Not Primorial Prime
 [1319] Is Not Primorial Prime
 [211] Is Primorial Prime
 [373] Is Not Primorial Prime
 [29] Is Primorial Prime
// Scala program 
// Check if a number is primorial prime or not
class PrimorialPrime
{
	//Check whether number is Primorial Prime or not
	def is_primorial_prime(collection: Array[Boolean], num: Int): Unit = {
		//indicating the status of result prime number
		var status: Boolean = false;
		//Check that given number is greater than one and number is prime
		if (num > 1 && collection(num) == true)
		{
			var product: Int = 1;
			var i: Int = 2;
			while (status == false && i <= num && product <= num + 1)
			{
				if (collection(i) == true)
				{
					//When i is prime
					if (product + 1 == num || product - 1 == num)
					{
						status = true;
					}
					else
					{
						product *= i;
					}
				}
				i += 1;
			}
		}
		if (status == true)
		{
			print("\n [" + num + "] Is Primorial Prime");
		}
		else
		{
			print("\n [" + num + "] Is Not Primorial Prime");
		}
	}
	//Find all prime numbers under 1000001 
	def sieve_of_eratosthenes(collection: Array[Boolean], size: Int): Unit = {
		// Loop controlling variables
		var i: Int = 0;
		var j: Int = 1;
		// Initial two numbers are not prime (0 and 1)
		collection(i) = false;
		collection(j) = false;
		// Initial 0 and 1 are not prime
		// We start to 2
		i = 2;
		while (i * i < size)
		{
			if (collection(i) == true)
			{
				//When i is prime number
				//Modify the prime status of all next multiplier of location i
				j = i * i;
				while (j < size)
				{
					collection(j) = false;
					j += i;
				}
			}
			i += 1;
		}
	}
}
object Main
{
	def main(args: Array[String]): Unit = {
		var obj: PrimorialPrime = new PrimorialPrime();
		var size: Int = 1000001;
		//This is used to store prime number status
		var collection: Array[Boolean] = Array.fill[Boolean](size)(true);
		//Find find prime number
		obj.sieve_of_eratosthenes(collection, size);
		//Test case
		obj.is_primorial_prime(collection, 7);
		obj.is_primorial_prime(collection, 107);
		obj.is_primorial_prime(collection, 13);
		obj.is_primorial_prime(collection, 1319);
		obj.is_primorial_prime(collection, 211);
		obj.is_primorial_prime(collection, 373);
		obj.is_primorial_prime(collection, 29);
	}
}

Output

 [7] Is Primorial Prime
 [107] Is Not Primorial Prime
 [13] Is Not Primorial Prime
 [1319] Is Not Primorial Prime
 [211] Is Primorial Prime
 [373] Is Not Primorial Prime
 [29] Is Primorial Prime
// Swift 4 program 
// Check if a number is primorial prime or not
class PrimorialPrime
{
	//Check whether number is Primorial Prime or not
	func is_primorial_prime(_ collection: [Bool], _ num: Int)
	{
		//indicating the status of result prime number
		var status: Bool = false;
		//Check that given number is greater than one and number is prime
		if (num > 1 && collection[num] == true)
		{
			var product: Int = 1;
			var i: Int = 2;
			while (status == false && i <= num && product <= num + 1)
			{
				if (collection[i] == true)
				{
					//When i is prime
					if (product + 1 == num || product - 1 == num)
					{
						status = true;
					}
					else
					{
						product *= i;
					}
				}
				i += 1;
			}
		}
		if (status == true)
		{
			print("\n [\(num)] Is Primorial Prime", terminator: "");
		}
		else
		{
			print("\n [\(num)] Is Not Primorial Prime", terminator: "");
		}
	}
	//Find all prime numbers under 1000001 
	func sieve_of_eratosthenes(_ collection: inout[Bool], _ size: Int)
	{
		// Loop controlling variables
		var i: Int = 0;
		var j: Int = 1;
		// Initial two numbers are not prime (0 and 1)
		collection[i] = false;
		collection[j] = false;
		// Initial 0 and 1 are not prime
		// We start to 2
		i = 2;
		while (i * i < size)
		{
			if (collection[i] == true)
			{
				//When i is prime number
				//Modify the prime status of all next multiplier of location i
				j = i * i;
				while (j < size)
				{
					collection[j] = false;
					j += i;
				}
			}
			i += 1;
		}
	}
}
func main()
{
	let obj: PrimorialPrime = PrimorialPrime();
	let size: Int = 1000001;
	//This is used to store prime number status
	var collection: [Bool] = Array(repeating: true, count: size);
	//Find find prime number
	obj.sieve_of_eratosthenes(&collection, size);
	//Test case
	obj.is_primorial_prime(collection, 7);
	obj.is_primorial_prime(collection, 107);
	obj.is_primorial_prime(collection, 13);
	obj.is_primorial_prime(collection, 1319);
	obj.is_primorial_prime(collection, 211);
	obj.is_primorial_prime(collection, 373);
	obj.is_primorial_prime(collection, 29);
}
main();

Output

 [7] Is Primorial Prime
 [107] Is Not Primorial Prime
 [13] Is Not Primorial Prime
 [1319] Is Not Primorial Prime
 [211] Is Primorial Prime
 [373] Is Not Primorial Prime
 [29] Is Primorial Prime

Please share your knowledge to improve code and content standard. Also submit your doubts, and test case. We improve by your feedback. We will try to resolve your query as soon as possible.

New Comment







© 2021, kalkicode.com, All rights reserved