# Print prime numbers in C++

In this tutorial, we will get to know how to print prime numbers in C++. We will take a number limit from the user and display all the prime numbers less than or equal to that number. Also, we will see a C++ program that displays the primes numbers within a given maximum limit. Here, you will learn about prime numbers, the logic to find prime numbers and a C++ program which implements this logic.

## The logic for finding prime numbers

A prime number is a number that is completely divisible by 1 and itself only. Any other number cannot divide a prime number completely. For example –
The number 3 is divisible by 1 and 3 only. So, it is a prime number.

To find it, we can perform a divisibility test of that number with all the numbers greater than 1 up to that number. If at any time, the divisibility test returns success, then the number is not a prime number.

```bool check_prime(int num)
{
bool prime=true;
for(int i=2;i<=num/2;i++)
{
if(num%i==0)
{
prime=false;
break;
}
}
return prime;
}```

This function returns a boolean value. It takes a number as parameter and stores it in variable ‘num’. And checks the divisibility of that number with all the numbers from 2 to (num/2). It calculates the remainder when the ‘num’ is divided by loop control variable ‘i’. If the remainder is 0, the ‘prime’ variable is assigned to false. If for all the values of ‘i’, there is a remainder, then the function returns true to the calling function.

## C++ program to print prime numbers

Here, we will see a C++ program that displays all the prime numbers which are less or equal to the maximum limit. The program uses the user-defined function which we discussed above.

```#include <iostream>
using namespace std;
bool check_prime(int);
int main()
{
bool prime;
int max;
cout<<"ENTER THE MAXIMUM NUMBER : ";
cin>>max;
if(max<2)
cout<<"\nNUMBER SHOULD BE GREATER THAN 2";
for(int i=2;i<=max;++i)
{
prime=check_prime(i);
if(prime)
cout<<i<<" ";
}
return 0;
}
bool check_prime(int num)
{
bool prime=true;
for(int i=2;i<=num/2;i++)
{
if(num%i==0)
{
prime=false;
break;
}
}
return prime;
}```

The main() function takes the maximum limit form the user. It calls the check_prime() function and passes this limit to this function. The check_prime() function returns true if it is a prime number. Otherwise, false is returned to the calling main() function.

#### C++ program output

The above program generates all the prime numbers within the limit. The output of the program is –

```[email protected]:~/cpp\$ g++ prime.cpp
[email protected]:~/cpp\$ ./a.out
ENTER THE MAXIMUM NUMBER : 100
2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
[email protected]:~/cpp\$```

In the execution, the maximum limit is 100. So, the program generates the number which is less than or equal to 100.

Thank you for reading this tutorial. I hope it helps you.