Write a C program to find sum of all prime numbers between 1 to n using for loop. C program to generate sum of all primes between a given range. Logic to find sum of prime numbers in a given range.

**Example**

**Input**

Input upper limit: 10

**Output**

Sum of prime numbers between 1-10: 17

## Required knowledge

Basic C programming, If else, For loop, Nested loops

Must know -

### What is Prime number?

Prime numbers are the positive integers greater than 1 that has only two divisors 1 and the number itself. For example: 2, 3, 5, 7, 11 are the first 5 prime numbers.

## Logic to find sum of prime numbers between 1 to n

Finding sum of prime number is just a 7 std kid task, if you know checking prime numbers. Before I get to the formal logic of the program you must know how to check prime numbers.

Below is the step by step descriptive logic to find sum of prime numbers between 1 to n.

- Input upper limit to find sum of prime from user. Store it in some variable say end.
- Initialize another variable sum = 0 to store sum of prime numbers.
- Run a loop from 2 to end, incrementing 1 in each loop counter. The loop structure should look like for(i=2; i<=end; i++).
- Inside this loop check if i is prime. Then increment the sum variable by 1 i.e. sum = sum + 1.
- Finally after loop print the resultant value of sum.

## Program to find sum of prime numbers between 1 to n

```
/**
* C program to find sum of prime numbers between 1 to n
*/
#include <stdio.h>
int main()
{
int i, j, end, isPrime, sum=0;
/*
* Input upper limit from user
*/
printf("Find sum of all prime between 1 to : ");
scanf("%d", &end);
/*
* Find all prime numbers between 1 to end
*/
for(i=2; i<=end; i++)
{
/*
* Check if the current number i is Prime or not
*/
isPrime = 1;
for(j=2; j<=i/2 ;j++)
{
if(i%j==0)
{
isPrime = 0;
break;
}
}
/*
* If i is Prime then add to sum
*/
if(isPrime==1)
{
sum += i;
}
}
printf("Sum of all prime numbers between 1 to %d = %d", end, sum);
return 0;
}
```

## Program to find sum of prime numbers in given range

```
/**
* C program to find sum of prime numbers in given range
*/
#include <stdio.h>
int main()
{
int i, j, start, end;
int isPrime, sum=0;
/*
* Input lower and upper limit from user
*/
printf("Enter lower limit: ");
scanf("%d", &start);
printf("Enter upper limit: ");
scanf("%d", &end);
/*
* Find all prime numbers in given range
*/
for(i=start; i<=end; i++)
{
/*
* Check if the current number i is Prime or not
*/
isPrime = 1;
for(j=2; j<=i/2 ;j++)
{
if(i%j==0)
{
isPrime = 0;
break;
}
}
/*
* If i is Prime then add to sum
*/
if(isPrime==1)
{
sum += i;
}
}
printf("Sum of all prime numbers between %d to %d = %d", start, end, sum);
return 0;
}
```

Output

Enter lower limit: 10 Enter upper limit: 20 Sum of all prime numbers between 10 to 20 = 60

Happy coding 😉

### Recommended post

- Loop programming exercises index.
- C program to find sum of natural numbers between 1 to n.
- C program to find the sum of even numbers between 1 to n.
- C program to find the sum of odd numbers between 1 to n.
- C program to find sum of elements of an array.
- C program to find factors of any number.
- C program to print perfect numbers in given range.

<pre><code> ----Your Source Code---- </code></pre>