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Program to express a number as a sum of two prime numbers

06 May 2024

Description about the Program to express a number as a sum of two prime numbers

 

Get a number as input from the user and express that number as sum of two prime numbers.

Input

4

Output

4 can be expressed as sum of 2 and 2

C Program to express a number as a sum of two prime numbers

#include <stdio.h>

int sumprimes(int n)

{

    int i, isPrime = 1;

    for(i = 2; i <= n/2; ++i)

    {

       if(n % i == 0)

       {

          isPrime = 0;

          break;

       }

    }

    return isPrime;

}

int main()

{

    int num, i;

    printf("Insert the num: ");

    scanf("%d", &num);

    int flag = 0;

    for(i = 2; i <= num/2; ++i)

    {

         if(sumprimes(i) == 1)

         {

             if(sumprimes(num-i) == 1)

             {

                  printf("%d can be expressed as the sum of %d and %d", num, i,num-i);

                  flag = 1;

             }

 

         }

     }

     if(flag == 0)

          printf("%d cannot be expressed as the sum of two primes", num);

     return 0;

}

C++ Program to express a number as a sum of two prime numbers

#include <iostream>

using namespace std;

int sumprimes(int n)

{

    int i, isPrime = 1;

    for(i = 2; i <= n/2; ++i)

    {

       if(n % i == 0)

       {

          isPrime = 0;

          break;

       }

    }

    return isPrime;

}

int main()

{

    int num, i;

    cout<<"Insert the num: ";

    cin>>num;

    int flag = 0;

    for(i = 2; i <= num/2; ++i)

    {

         if(sumprimes(i) == 1)

         {

             if(sumprimes(num-i) == 1)

             {

                  cout<<num<<" can be expressed as the sum of "<<i<<" and "<<num-i;

                  flag = 1;

             }

 

         }

     }

     if(flag == 0)

          cout<<num<<" cannot be expressed as the sum of two primes";

     return 0;

}

Java Program to express a number as a sum of two prime numbers

import java.util.Scanner;

public class Main

{

 static int sumprimes(int n)

{

    int i, isPrime = 1;

    for(i = 2; i <= n/2; ++i)

    {

       if(n % i == 0)

       {

          isPrime = 0;

          break;

       }

    }

    return isPrime;

}

public static void main(String[] args) {

    Scanner sc = new Scanner(System.in);

System.out.print("Enter a number : ");

int num = sc.nextInt();

    int flag = 0;

    for(int i = 2; i <= num/2; ++i)

    {

         if(sumprimes(i) == 1)

         {

             if(sumprimes(num-i) == 1)

             {

                  System.out.println(num+" can be expressed as the sum of "+i+" and "+(num-i));

                  flag = 1;

             }

         }

     }

     if(flag == 0)

          System.out.println(num+" cannot be expressed as the sum of two primes");

 

}

}

Python Program to express a number as a sum of two prime numbers

num = int(input('Enter a number :'))

arr = []

for i in range(2,num):

    flag = 0

    for j in range(2,i):

        if i % j == 0:

            flag = 1

    if flag == 0:

        arr.append(i)

flag = 0

for i in range(len(arr)):

    for j in range(i+1,len(arr)):

        if(arr[i] + arr[j] == num):

            flag = 1

            print(str(num) + " can be expressed as the sum of " + str(arr[i]) + " and " + str(arr[j]))

            break

if(flag == 0):

    print('No Prime numbers can give sum of ' + str(num))

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