Integer as a Sum of Two Prime Numbers

C Programming Language / Function in C Language

1089

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If you don't know what is prime number please read form this tutorial. Prime Number & Prime Factors

Program:

#include <stdio.h>
int checkPrime(int n);
int main()
{
    int n, i, flag = 0;

    printf("Enter a positive integer: ");
    scanf("%d", &n);

    for(i = 2; i <= n/2; ++i)
    {
        // condition for i to be a prime number
        if (checkPrime(i) == 1)
        {
            // condition for n-i to be a prime number
            if (checkPrime(n-i) == 1)
            {
                // n = primeNumber1 + primeNumber2
                printf("%d = %d + %d\n", n, i, n - i);
                flag = 1;
            }

        }
    }

    if (flag == 0)
        printf("%d cannot be expressed as the sum of two prime numbers.", n);

    return 0;
}

// Function to check prime number
int checkPrime(int n)
{
    int i, isPrime = 1;

    for(i = 2; i &lt;= n/2; ++i)
    {
        if(n % i == 0)
        {
            isPrime = 0;
            break;
        }  
    }

    return isPrime;
}

Output:

Enter a positive integer: 34
34 = 3 + 31
34 = 5 + 29
34 = 11 + 23
34 = 17 + 17

Explanation:

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