Skip to main content

Find Nth Kynea Number

Kynea numbers are near-squares of the form (2^n + 1)^2 - 2. This formula produce an integer value their initial sequence values is (7, 23, 79, 287, 1087, 4223, 16639, 66047, 263167, 1050623). Our goal is to write a program which is finding the nth kynea number which result is not exceed the size of integer.

Here given code implementation process.

/*
  Java Program for
  Find Nth Kynea Number
*/
public class KyneaNumber
{
    public int findPower(int number, int size)
    {
        if (number == 0)
        {
            return 0;
        }
        else if (size == 0)
        {
            return 1;
        }
        else
        {
            int result = number;
            for (int i = 2; i <= size; ++i)
            {
                result = result * number;
            }
            return result;
        }
    }
    public void nthKyneaNo(int number)
    {
        if (number <= 0)
        {
            // When invalid kynea number
            return;
        }
        int result = (findPower(2, 2 * number) + findPower(2, number + 1) - 1);
        System.out.println(number + " 'nth Kynea number is : " + result);
    }
    public static void main(String[] args)
    {
        KyneaNumber task = new KyneaNumber();
        // Test Case
        task.nthKyneaNo(4);
        task.nthKyneaNo(7);
        task.nthKyneaNo(9);
        task.nthKyneaNo(15);
    }
}

Output

4 'nth Kynea number is : 287
7 'nth Kynea number is : 16639
9 'nth Kynea number is : 263167
15 'nth Kynea number is : 1073807359
// Include namespace system
using System;
/*
  Csharp Program for
  Find Nth Kynea Number
*/
public class KyneaNumber
{
    public int findPower(int number, int size)
    {
        if (number == 0)
        {
            return 0;
        }
        else if (size == 0)
        {
            return 1;
        }
        else
        {
            var result = number;
            for (var i = 2; i <= size; ++i)
            {
                result = result * number;
            }
            return result;
        }
    }
    public void nthKyneaNo(int number)
    {
        if (number <= 0)
        {
            // When invalid kynea number
            return;
        }
        var result = (this.findPower(2, 2 * number) + 
                      this.findPower(2, number + 1) - 1);
        Console.WriteLine(number + " 'nth Kynea number is : " +
                          result);
    }
    public static void Main(String[] args)
    {
        var task = new KyneaNumber();
        // Test Case
        task.nthKyneaNo(4);
        task.nthKyneaNo(7);
        task.nthKyneaNo(9);
        task.nthKyneaNo(15);
    }
}

Output

4 'nth Kynea number is : 287
7 'nth Kynea number is : 16639
9 'nth Kynea number is : 263167
15 'nth Kynea number is : 1073807359
// Include header file
#include <iostream>
using namespace std;
/*
  C++ Program for
  Find Nth Kynea Number
*/
class KyneaNumber
{
    public: int findPower(int number, int size)
    {
        if (number == 0)
        {
            return 0;
        }
        else if (size == 0)
        {
            return 1;
        }
        else
        {
            int result = number;
            for (int i = 2; i <= size; ++i)
            {
                result = result *number;
            }
            return result;
        }
    }
    void nthKyneaNo(int number)
    {
        if (number <= 0)
        {
            // When invalid kynea number
            return;
        }
        int result = (this->findPower(2, 2 *number) + 
                      this->findPower(2, number + 1) - 1);
        cout << number << " \'nth Kynea number is : " << result << endl;
    }
};
int main()
{
    KyneaNumber *task = new KyneaNumber();
    // Test Case
    task->nthKyneaNo(4);
    task->nthKyneaNo(7);
    task->nthKyneaNo(9);
    task->nthKyneaNo(15);
    return 0;
}

Output

4 'nth Kynea number is : 287
7 'nth Kynea number is : 16639
9 'nth Kynea number is : 263167
15 'nth Kynea number is : 1073807359
// C Program for
// Find Nth Kynea Number
#include <stdio.h>

int pow_number(int number, int size)
{
    if (number == 0)
    {
        return 0;
    }
    else if (size == 0)
    {
        return 1;
    }
    else
    {
        int result = number;
        for (int i = 2; i <= size; ++i)
        {
            result = result *number;
        }
        return result;
    }
}
void kynea_number(int number)
{
    if (number <= 0)
    {
        // When invalid kynea number
        return;
    }
    printf("%d 'nth Kynea number is : %d\n", number, 
           (pow_number(2, 2 *number) + pow_number(2, number + 1) - 1));
}
int main()
{
    kynea_number(4);
    kynea_number(7);
    kynea_number(9);
    kynea_number(15);
    return 0;
}

Output

4 'nth Kynea number is : 287
7 'nth Kynea number is : 16639
9 'nth Kynea number is : 263167
15 'nth Kynea number is : 1073807359
package main
import "fmt"
/*
  Go Program for
  Find Nth Kynea Number
*/

func findPower(number, size int) int {
    if number == 0 {
        return 0
    } else if size == 0 {
        return 1
    } else {
        var result int = number
        for i := 2 ; i <= size ; i++ {
            result = result * number
        }
        return result
    }
}
func nthKyneaNo(number int) {
    if number <= 0 {
        // When invalid kynea number
        return
    }
    var result int = (findPower(2, 2 * number) + findPower(2, number + 1) - 1)
    fmt.Println(number, "'nth Kynea number is :", result)
}
func main() {
    
    // Test Case
    nthKyneaNo(4)
    nthKyneaNo(7)
    nthKyneaNo(9)
    nthKyneaNo(15)
}

Output

4 'nth Kynea number is : 287
7 'nth Kynea number is : 16639
9 'nth Kynea number is : 263167
15 'nth Kynea number is : 1073807359
<?php
/*
  Php Program for
  Find Nth Kynea Number
*/
class KyneaNumber
{
    public  function findPower($number, $size)
    {
        if ($number == 0)
        {
            return 0;
        }
        else if ($size == 0)
        {
            return 1;
        }
        else
        {
            $result = $number;
            for ($i = 2; $i <= $size; ++$i)
            {
                $result = $result * $number;
            }
            return $result;
        }
    }
    public  function nthKyneaNo($number)
    {
        if ($number <= 0)
        {
            // When invalid kynea number
            return;
        }
        $result = ($this->findPower(2, 2 * $number) + 
                   $this->findPower(2, $number + 1) - 1);
        printf("%s\n", $number.
            " 'nth Kynea number is : ".strval($result));
    }
    public static
    function main($args)
    {
        $task = new KyneaNumber();
        // Test Case
        $task->nthKyneaNo(4);
        $task->nthKyneaNo(7);
        $task->nthKyneaNo(9);
        $task->nthKyneaNo(15);
    }
}
KyneaNumber::main(array());

Output

4 'nth Kynea number is : 287
7 'nth Kynea number is : 16639
9 'nth Kynea number is : 263167
15 'nth Kynea number is : 1073807359
/*
  Node JS Program for
  Find Nth Kynea Number
*/
class KyneaNumber
{
    findPower(number, size)
    {
        if (number == 0)
        {
            return 0;
        }
        else if (size == 0)
        {
            return 1;
        }
        else
        {
            var result = number;
            for (var i = 2; i <= size; ++i)
            {
                result = result * number;
            }
            return result;
        }
    }
    nthKyneaNo(number)
    {
        if (number <= 0)
        {
            // When invalid kynea number
            return;
        }
        var result = (this.findPower(2, 2 * number) + 
                      this.findPower(2, number + 1) - 1);
        console.log(number + " 'nth Kynea number is : " + result);
    }
}

function main()
{
    var task = new KyneaNumber();
    // Test Case
    task.nthKyneaNo(4);
    task.nthKyneaNo(7);
    task.nthKyneaNo(9);
    task.nthKyneaNo(15);
}
// Start program execution
main();

Output

4 'nth Kynea number is : 287
7 'nth Kynea number is : 16639
9 'nth Kynea number is : 263167
15 'nth Kynea number is : 1073807359
#  Python 3 Program for
#  Find Nth Kynea Number
class KyneaNumber :
    def findPower(self, number, size) :
        if (number == 0) :
            return 0
        elif (size == 0) :
            return 1
        else :
            result = number
            i = 2
            while (i <= size) :
                result = result * number
                i += 1
            
            return result
        
    
    def nthKyneaNo(self, number) :
        if (number <= 0) :
            #  When invalid kynea number
            return
        
        result = (self.findPower(2, 2 * number) + 
                  self.findPower(2, number + 1) - 1)
        print(number ,"'nth Kynea number is :", result)
    

def main() :
    task = KyneaNumber()
    #  Test Case
    task.nthKyneaNo(4)
    task.nthKyneaNo(7)
    task.nthKyneaNo(9)
    task.nthKyneaNo(15)

if __name__ == "__main__": main()

Output

4 'nth Kynea number is : 287
7 'nth Kynea number is : 16639
9 'nth Kynea number is : 263167
15 'nth Kynea number is : 1073807359
#  Ruby Program for
#  Find Nth Kynea Number
class KyneaNumber 
    def findPower(number, size) 
        if (number == 0) 
            return 0
        elsif (size == 0) 
            return 1
        else
 
            result = number
            i = 2
            while (i <= size) 
                result = result * number
                i += 1
            end

            return result
        end

    end

    def nthKyneaNo(number) 
        if (number <= 0) 
            #  When invalid kynea number
            return
        end

        result = (self.findPower(2, 2 * number) + 
                  self.findPower(2, number + 1) - 1)
        print(number ,"'nth Kynea number is : ", result, "\n")
    end

end

def main() 
    task = KyneaNumber.new()
    #  Test Case
    task.nthKyneaNo(4)
    task.nthKyneaNo(7)
    task.nthKyneaNo(9)
    task.nthKyneaNo(15)
end

main()

Output

4'nth Kynea number is : 287
7'nth Kynea number is : 16639
9'nth Kynea number is : 263167
15'nth Kynea number is : 1073807359

/*
  Scala Program for
  Find Nth Kynea Number
*/
class KyneaNumber()
{
    def findPower(number: Int, size: Int): Int = {
        if (number == 0)
        {
            return 0;
        }
        else if (size == 0)
        {
            return 1;
        }
        else
        {
            var result: Int = number;
            var i: Int = 2;
            while (i <= size)
            {
                result = result * number;
                i += 1;
            }
            return result;
        }
    }
    def nthKyneaNo(number: Int): Unit = {
        if (number <= 0)
        {
            // When invalid kynea number
            return;
        }
        var result: Int = (findPower(2, 2 * number) + 
          findPower(2, number + 1) - 1);
        println(""+ number + " 'nth Kynea number is : " + result);
    }
}
object Main
{
    def main(args: Array[String]): Unit = {
        var task: KyneaNumber = new KyneaNumber();
        // Test Case
        task.nthKyneaNo(4);
        task.nthKyneaNo(7);
        task.nthKyneaNo(9);
        task.nthKyneaNo(15);
    }
}

Output

4 'nth Kynea number is : 287
7 'nth Kynea number is : 16639
9 'nth Kynea number is : 263167
15 'nth Kynea number is : 1073807359
import Foundation
/*
  Swift 4 Program for
  Find Nth Kynea Number
*/
class KyneaNumber
{
    func findPower(_ number: Int, _ size: Int) -> Int
    {
        if (number == 0)
        {
            return 0;
        }
        else if (size == 0)
        {
            return 1;
        }
        else
        {
            var result: Int = number;
            var i: Int = 2;
            while (i <= size)
            {
                result = result * number;
                i += 1;
            }
            return result;
        }
    }
    func nthKyneaNo(_ number: Int)
    {
        if (number <= 0)
        {
            // When invalid kynea number
            return;
        }
        let result: Int = (self.findPower(2, 2 * number) + 
                           self.findPower(2, number + 1) - 1);
        print(String(number) + " \'nth Kynea number is : " + String(result));
    }
    static func main(_ args: [String])
    {
        let task: KyneaNumber? = KyneaNumber();
        // Test Case
        task!.nthKyneaNo(4);
        task!.nthKyneaNo(7);
        task!.nthKyneaNo(9);
        task!.nthKyneaNo(15);
    }
}
KyneaNumber.main([String]());

Output

4 'nth Kynea number is : 287
7 'nth Kynea number is : 16639
9 'nth Kynea number is : 263167
15 'nth Kynea number is : 1073807359
/*
  Kotlin Program for
  Find Nth Kynea Number
*/
class KyneaNumber
{
    fun findPower(number: Int, size: Int): Int
    {
        if (number == 0)
        {
            return 0;
        }
        else if (size == 0)
        {
            return 1;
        }
        else
        {
            var result: Int = number;
            var i: Int = 2;
            while (i <= size)
            {
                result = result * number;
                i += 1;
            }
            return result;
        }
    }
    fun nthKyneaNo(number: Int): Unit
    {
        if (number <= 0)
        {
            // When invalid kynea number
            return;
        }
        val result: Int = (this.findPower(2, 2 * number) + 
                           this.findPower(2, number + 1) - 1);
        println(""+number + "'nth Kynea number is : " + result);
    }
}
fun main(args: Array < String > ): Unit
{
    val task: KyneaNumber = KyneaNumber();
    // Test Case
    task.nthKyneaNo(4);
    task.nthKyneaNo(7);
    task.nthKyneaNo(9);
    task.nthKyneaNo(15);
}

Output

4'nth Kynea number is : 287
7'nth Kynea number is : 16639
9'nth Kynea number is : 263167
15'nth Kynea number is : 1073807359
Last updated on by Kalkicode




Comment

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